Assume that the tunnel in Exercise 3.132 is observed during ten two-minute intervals, thus giving ten independent observations Y1, Y2,..., Y10, on the Poisson random variable. Find the probability that Y > 3 during at least one of the ten two-minute intervals
Answers
Answer: hello the exercise is missing from your question below is the missing exercise for reference
answer:
0.1745
Step-by-step explanation:
Determine P ( Y > 3 )
Given that y follows Poisson distribution with mean
P( Y = y ) = [tex]\frac{e^{-1} }{y!}[/tex]
assuming that yi represents number of autos that will enter the tunnel and
also let A represent Y > 3 at one of the ten two-minute interval
step 1 : hence finding P(A )
= P(Y > 3 ) = 1 - P( Y≤ 3 )
= 1 - [ [tex][\frac{e^{-1} }{0!} +\frac{e^{-1} }{1!} +\frac{e^{-1} }{2!} +\frac{e^{-1} }{3!} ][/tex]
= 0.018988
since the ten observations are independent
P(X≥ 1 ) = 1 - P( X = 0 )
= 1 - [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right][/tex] * (0.018988)^0 ( 1 - 0.018988)^10-0
= 1 - 0.8255 = 0.1745
Related Questions
Hãy giải giúp tôi câu tính giới hạn này
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Answer:
Step-by-step explanation:
The population of a rabbit colony triples each month.
The population started with 5 rabbits. How many
rabbits are there after 6 months?
Answers
Answer:
3645 rabbits after 6 months.
Step-by-step explanation:
The population of a rabbit colony triples each month.
This means that the population of the colony after t months is given by:
[tex]P(t) = P(0)(3)^t[/tex]
In which P(0) is the initial population.
The population started with 5 rabbits.
This means that [tex]P(0) = 5[/tex]
So
[tex]P(t) = 5(3)^t[/tex]
How many rabbits are there after 6 months?
This is P(6). So
[tex]P(6) = 5(3)^6 = 3645[/tex]
3645 rabbits after 6 months.
(») Evaluate the expression.
* * (4 + 8)
Answers
Answer:
6
Step-by-step explanation:
work out the brackets first....4+8=12
the multiply 1/2 by 12
1/2 x 12 = 6
Selena Gomez is running the Gary Mintz Marathon. After 6 miles, Selena Gomez's clock reads 48 minutes. If Selena Gomez maintains her current pace, what will her clock read at 20 miles? You can use the table below to calculate her times.
A : 56
B: 160
C: 140
D: 96
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Answer:
The answer would be C: 140.
If a total of 360 students were involved in the evening's activities, how many students attend the school?
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360 = 12x/13
30 = x/13
390 = x
Divide the following two complex numbers.
3+2i
5-3i
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Step-by-step explanation & answer:
Conjugate = 5+3i
Multiply fraction by conjugate:
(15+9i+10i+6i^2) / (25-9i^2)
Simplify:
(15+19i+6i^2) / (25-9i^2)
i^2 is -1:
(15+19i-6) / (25+9)
So:
9+19i / 34
Into a +bi form:
9/34 + 19i/34
Choose the equation of the line that is parallel to the y-axis.
x = -2
x + y = 0
x = y
y = 2
Answers
Answer:
x=-2
Step-by-step explanation:
If x always = -2, it is a straight vertical line which means it is parallel to the y axis
The circumference of the base of the cone is 8.5 inches. What is the volume of the cone in term of pi? Round to the nearest hundredth
Answers
========================================================
Work Shown:
C = 2*pi*r ......... circumference of the circular base
r = C/(2pi)
r = (8.5)/(2pi)
r = 4.25/pi
-------------
V = pi*r^2*h ...... volume of the cone
V = pi*(4.25/pi)^2*15
V = pi*(18.0625/pi^2)*15
V = (18.0625*15)/pi
V = 270.9375/pi ..... exact volume in terms of pi
If we round that decimal number up top to the nearest hundredth, then we end up with V = 270.94/pi
PLS HELP I WILL GIVE BRAINLIEST
Answers
Answer:
80°
Step-by-step explanation:
So as you can see, the givin angle is 100°. So that must mean that angle DBF is 80° because they are supplementary angles. (Together they equal 180°) And sense the pair of lines are parallel, and x is the smaller angle so it is 80°.
Seema is travelling to Guernsey. She travels a distance of 3,800 km by plane to London and then another 400 km to Guernsey. Both planes fly at an average speed of 900 kmh-1.
What is her total flight time in hours and minutes, to the nearest minute?
Answers
9514 1404 393
Answer:
4 hours 40 minutes
Step-by-step explanation:
The appropriate relation is ...
time = distance/speed
time = (3800 km)/(900 km/h) +(400 km)/(900 km/h) = (38+4)/9 h
= 14/3 h = 4 2/3 h
Seema's flight time is 4 hours 40 minutes.
__
2/3 of 60 minutes is 40 minutes
Yes i give brainliest
Answers
It can give some balls more chance to be picked, making it unfair
Andy's average driving speed for a 4 hour trip was 48 miles per hour. During the first 3 hours he drove 50 miles per hour. What was his average speed for the last hour on his trip.
PLEASE HELP AND SHOW WORK YOU WILL GET BRAINLEST MARK
Answers
Answer:
Step-by-step explanation:
Distance = 48 * 4
Distance = 192
~~~~~~~~~~~~~~~
3*50 = 150
192 - 150 = 42
42 MPH for the last hour
có bao nhiêu hình tứ giác
Answers
Answer:
si si amigo adila
Step-by-step explanation:
(x-7)(x^2+3x-3) multiply the polynomials
Answers
Step-by-step explanation:
= (x - 7)(x² + 3x - 3)
= x³ - 7x² + 3x² - 21x - 3x + 21
= x³ - 4x² - 24x + 21
Use substitution to solve the system of equations and choose the solution from the list below.
Look at the image
Answers
Answer:
Option : ( 2 , 6 )
x = 2, y = 6
Step-by-step explanation:
[tex]y = 4x - 2[/tex] ---------------- ( 1 )
[tex]y = -2x + 10[/tex] -------------- ( 2 )
Substitution Method
Substitute ( 1 ) in ( 2 ) :
[tex]4x - 2 = -2x + 10\\\\4x + 2x = 10 + 2\\\\6x = 12\\\\x = 2[/tex]
Now substitute x in ( 2 ):
[tex]y = -2x + 10\\\\y = -2 ( 2 ) + 10\\\\y = - 4 + 10 \\\\y = 6[/tex]
The perimeter of a rectangle is 12cm the area is 5cm square what is the length of the sides
Answers
Answer:
???
Step-by-step explanation:
Hope this helps
2x-4=20
Please fast with steps !
Answers
Answer:
x=12
hope it will helpful to you
7) -4 = 2(b + 5)
please help!
Answers
Answer:
b = -7
Step-by-step explanation:
Let's solve your equation step-by-step.
−4 = 2(b + 5)
Step 1: Simplify both sides of the equation.
−4 = 2(b + 5)
−4 = (2)(b) + (2)(5)(Distribute)
−4 = 2b + 10
Step 2: Flip the equation.
2b + 10 = −4
Step 3: Subtract 10 from both sides.
2b + 10 − 10 = −4 − 10
2b = −14
Step 4: Divide both sides by 2.
[tex]\frac{2b}{2} = \frac{-14}{2}[/tex]
b = -7
Hope this helps, please mark brainliest if possible. Have a great day! :)
What is the solution of the equation x2 + 4x + 10 = 0?
Answers
Answer:
The answer for thid equation is x = -5/3
How much will you have if : S900 invested at 6% compounded semiannually
for 5 years.
Answers
Answer:
Step-by-step explanation:
A = P(1+r/n)^nt
A = 900(1 + .06/2)^(5*2)
A = 900(1.03)^10
A=1209.52
Un ganadero está reparando una mezcla de avena y harina de maíz para ganado. Cada onza de avena proporciona 4 gramos de proteína y 18 gramos de carbohidrato; una onza de harina de maíz proporciona 3 gramos de proteína y 24 gramos de carbohidratos.
¿Cuántas onzas de cada uno se pueden usar para satisfacer las metas nutricionales de 200 gramos de proteína y 1320 gramos de carbohidrato por ración?
Answers
Answer:i love you
Step-by-step explanation:
Point B has coordinates (4,2). The x-coordinate of point A is - 1. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?
Answers
Answer:
A (-1,-10) ; A (-1,14)
Step-by-step explanation:
[tex]\sqrt{(-1-4)^2 + (y-2)^2} = 13 \\ 25 + y^2 + 4 -4y = 169[/tex]
y^2 -4y - 140 = 0
Δ/4 = 4 + 140 = 144
y1 = 2 + 12 = 14
y2 = 2 -12= -10
find the equation of common tangent of x²+y²=4ax and y²=4ax.
Answers
Step-by-step explanation:
x² +4ax+y² =0
x² +4ax+4a² +y² =4a²
(x+2a) ² +y² =4a² ......(i)
y² =4ax.........(ii)
By tracing the circle and the parabola we can clearly see that they touch each other along the y axis
So the equation of common tangent is x=0.
Intersection and conditional probability problem. Can anyone help solve this problem?
Answers
Part (a)
Refer to figure 1 in the attached image below. The a,b,c,d,e are placeholders for numbers we'll fill in later (that turns into the table for figure 2). Hopefully you agree about the placement of the numbers. If there's any confusion, then please let me know.
Along the bottom row, we can see that 39+e = 65 which solves to e = 26 after you subtract 39 from both sides. This tells us that there are 26 non-physics majors (ie their major is anything but physics).
Then along the "non-physics" column, notice how b+6 = e, which is the same as b+6 = 26 after replacing 'e' with 26. Solving that equation leads to b = 20. So we have 20 people who are seniors and non-physics majors.
Now move to the top row. We can see that a+b = 30, which is the same as a+20 = 30 because we plug in b = 20. That solves to a = 10. So we have 10 seniors who are physics majors.
----------------
Now along the first column, we have a+c = 39, aka 10+c = 39, which solves to c = 29. There are 29 non-seniors who are physics majors.
The last variable to find is variable d.
Along the second row, we can say,
c+6 = d
29+6 = d
d = 35
Or we could say that 30+d = 65 along the last column which also solves to d = 35. This tells us we have 35 non-seniors in the class.
----------------
To summarize so far, we have
a = 10, b = 20, c = 29, d = 35, e = 26
These values will replace the letters as shown in figure 2.
Figure 2 will be used to answer both parts (a) and (b).
----------------
After that (more than) slight detour of filling in the table, we can finally tackle the question at hand. We're asked to find the probability of selecting someone who is a senior and a physics major. We have a = 10 people who fit the description out of 65 total
Divide the two values and reduce the fraction as much as possible
10/65 = (2*5)/(13*5) = 2/13
Answer: 2/13==========================================================
Part (b)
There's a lot going on with part (a). Luckily there aren't many steps here because pretty much all the work has been done already. We'll refer to figure 2 below.
We're told "given the student is a physics major", which means we focus solely on the "physics major" column only. We ignore everyone else because we know 100% that whoever we selected majored in physics.
We have a = 10 seniors who are also physics majors out of 39 physics majors total.
That constructs the fraction 10/39
Answer: 10/39What is the greatest solution of x in the equation x2 + 8x - 30 = 18?
Enter your answer in the box.
Answers
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Subtracting 18, we have the equation ...
x^2 +8x -48 = 0
(x +12)(x -4) = 0 . . . . . factored form
The values of x that make these factors zero are the solutions:
x = -12, x = 4
The greatest solution is x=4.
Answer:
Greatest solution of x = 4
Step-by-step explanation:
x² + 8x - 30 = 18
subtract 18 from both sides
x² + 8 x - 30 - 18 = 18 - 18
x ² + 8 x - 48 = 0
split 8x in middle form
x² + ( 12 x - 4 x ) - 48 = 0
factor out x from the first pair
x ( x + 12 ) - ( 4 x- 48 ) = 0
factor out 4 from the second pair
x ( x + 12) - 4 ( x + 12 ) = 0
x + 12 is common factor
x ( x + 12) - 4 ( x + 12 ) = 0
Group common factor
(x - 4) ( x + 12 ) = 0
When the product of factors equal 0, at least one factor is 0.
x - 4 = 0
x = 4
similarly,
x + 12 = 0
x = - 12
Greatest solution of x = 4
at the present time, gerald is eight less than five times his nephews age. seven years ago gerald was 9 times his nephews age.
(A)if g represents geralds age now and n represents his nephews age today. use a system of equations that could be used to model this scenario?
(B)than use the equations to determine algebraically the ages of both Gerald and his nephew.
(C)than determine in how many years Gerald will be three times as old as his nephew?
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What you know about rollin' down in the deep?
When your brain goes numb, you can call that mental freeze
When these people talk too much, put that sh*t in slow motion, yeah
I feel like an astronaut in the ocean, ayy
What you know about rollin' down in the deep?
When your brain goes numb, you can call that mental freeze
When these people talk too much, put that sh*t in slow motion, yeah
I feel like an astronaut in the ocean
ASSESSMENT:
Act as the person in the problem Do the activity. Record your
findings then answer
1. A farmer placed 250 mangoes in a crate, these are 150 ripe and 100 unripe
mangoes, his wife randomly selected 80 mangoes, she got 50 ripe mangoes
and 20 unripe mangoes, find the experimental probability of the mangoes she
selected.
2. A table tennis player has 40 orange table tennis balls, 30 white and 20 yellow
table tennis balls. After selecting 18 balls, he found out that he got 6 white
table tennis balls. Find out the experimental probability of getting white table
tennis table tennis balls.
please answer this
Answers
Answer:
in 1st his wife selected 80 mangoes 50 ripe and 20 unripe how it can be
Step-by-step explanation:
50+20=70 not 80
please share the correct question than I may help you
What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 8y + 21=0
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Answer:
Step-by-step explanation:
(x²-6x)+(y²+8y)=-21
(x²-6x+9)+(y²+8y+16)=-21+9+16
(x-3)²+(y+4)²=4
center=(3,-4),radius=√4=2
don’t understand this help please
Answers
Step-by-step explanation:
Since he sold $70,834 worth of cars, he earned an extra 5% commission on the sale. That means he got
0.05×($70,834) = $3,541.70
Therefore, his salary for the month m is
m = $2250 + 0.05s = $2,250 + $3,541.70 = $5,791.70
What is the volume of the cone? Use 3.14 for π
Answers
Answer:
What is the height, radius or diameter of the cone?????