Suppose that, on the average, 1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend. If there are 600 graduating seniors in a particular class, what is the probability that not more than 650 parents will attend the graduation ceremony
Answer:
0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.
Step-by-step explanation:
To solve this question, we need to know the Poisson and the normal distribution.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The Poisson distribution can be approximated to the normal with same means, and [tex]\sigma = \sqrt{\mu}[/tex]
1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend.
There are 600 graduating seniors. This means that the expected number of parents attending the ceremony is given by:
[tex]\mu = 600*(2*\frac{1}{3} + 1*\frac{1}{3} + 0*\frac{1}{3}) = 600(\frac{2}{3} + \frac{1}{3}) = 600(1) = 600[/tex]
And
[tex]\sigma = \sqrt{600}[/tex]
What is the probability that not more than 650 parents will attend the graduation ceremony?
Using continuity correction, as Poisson is a discrete distribution while the normal is continuous, this is [tex]P(X \leq 650 + 0.5) = P(X \leq 650.5)[/tex], which is the pvalue of Z when [tex]X = 650.5[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{650.5 - 600}{\sqrt{600}}[/tex]
[tex]Z = 2.06[/tex]
[tex]Z = 2.06[/tex] has a pvalue of 0.9803.
0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.
find the 12th term of the geometric sequence 1,-4,16
Answer:
common ratio =r=3
Step-by-step explanation:
Answer:
−4194304
Step-by-step explanation:
Which expressions have the same solution as-4(6)?
Check all that apply.
044-6)
4-6)
6(-4)
-8(2)
12(-2)
Answer:
B, C,E
Step-by-step explanation:
I got it right on Edge2021
Solve for d.
d^3 + 27 = 0
Write your answers in simplified, rationalized form.
Answer:
d=-3
Step-by-step explanation:
d3+27=0
Step 1: Subtract 27 from both sides.
d3+27−27=0−27
d3=−27
Step 2: Take cube root.
d=(−27)(
1
3
)
d=−3
On the number line -1
Answer:
A
Step-by-step explanation:
PLS HELP!!!!! Find the solution to (X+2)2=49
Answer:
22.5
Step-by-step explanation:
you have to do opposite bedmass to isolate the variable. the opposite of multiplying is division.
(X+2)2 =49
2 2
Then do addition as subtraction.
X+2= 24.5
-2 -2
X= 22.5
pls answer this if you do I mark brainlest
Answer:
268
Step-by-step explanation:
2×(10×8 + 10×3 + 8×3) = 268 yards
Answer:
[tex]268yd^2[/tex]
Step-by-step explanation:
The Surface Area formula for a rectangular prism is:
[tex]2(wl+hl+hw)[/tex]
where w is the width, h is the height, and l is the length.
Plug each value into the formula and solve:
[tex]2(8*10+3*10+3*8)=268yd^2[/tex]
If this helped, a brainliest answer would be greatly appreciated!
Need help ASAP I really need help reviewing this!! Making sure if I have the correct answer !!!
Answer:
1) 5
2) 7
3) Mary
Step-by-step explanation:
1) 20/4 = 5 shots
20 shots = 4 minutes
10 shots = 2 minutes
5 shots = 1 minute
2) 42/6 = 7 shots
42 shots = 6 minutes
21 shots = 3 minutes
21 shots divided by 3 minutes equals 7 shots
3) Mary had 7 shots while John only shot 5.
balance the equation showing all 6 steps. 200=g-180
Answer:
g = 380
Step-by-step explanation:
200 = g - 180
You add 180 to both sides
200 + 180 = g
380 = g
Hope that helps!
find the vaule of b in rectangle
f(x) = 4x - 9 step by step and put the right anwser so I can read it
A store is advertising a 40% off sale. Find the new price of a pair of boots that were originally marked $149.00.
Answer:
89.4
Step-by-step explanation:
Okay well if 149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4
149*0.60=89.6
Based on information from the periodic table, what does this image represent? HE 4 Protons e 5 Neutrons = 2 Electrons A. A negatively charged beryllium ion
B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion
Answer:
D. A positively charged beryllium ion
This image represents A positively charged beryllium ion.
We have given that,
He 4 Protons e 5 Neutrons = 2 Electrons
A. A negatively charged beryllium ion
B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion.
We have to determine, Based on information from the periodic table what does this image represent?
What is the periodic table?A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical columns.
This image represents A positively charged beryllium ion.
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Can someone please answer a-d I have 5 mins!!!!
6 points and Brainly:)
Answer:
a) 12×6=72 cm²
b) 3x6:2= 9 cm²
c) 3x6:2=9 cm²
d) 72-9-9= 54 cm²
Help! I’ll reward brainest its pretty easy
Answer:
$5250
Step-by-step explanation:
multiply the cost by the number of people
Answer:
The answer is 5250
Step-by-step explanation:
Add 20 plus ten which is thirty then multiply that buy 175 which is 5250$
What is the percent decrease from 61 to 11?
9
A group of friends went to lunch. Their original bill cost $50.00, but they had a coupon for 20% off their meal. Find the discounted price (before tax and tip).
Answer: $
A sales tax of 7% was added. What was the total amount including sales tax?
Answer: $
The group chose to tip 20%. What is the total amount that their bill cost including tax and tip?
Answer: $
Need help immediately! I can't do this it's way too hard and I don't get it because I missed class today! Someone, can you please do all of them for me?
Answer:
I cant see that pdf you attached maybe tell me what questoin you are asking?
4. Which function defines the sequence -6,-10,-14, 18,... , where f(6) = - 26 ?
(1) f(x) = - 4x - 2
(2) f(x) = 4x - 2
(3) f(x) = - x + 32
(4) f(x) = x - 26
A person places $13900 in an investment account earning an annual rate of 2.8%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answer
hmm
Step-by-step explanation:
Answer:Can u explain more i odnt understand it pelase
Step-by-step explanation:
After the end of everyday, a production plant's maintenance crews check on the machinery and grade each item's state of repair. A particular robot arm can be given ve grades: Excellent, Good, Satisfactory, Watch, Failed. If the robot arm is tagged with a Failed grade, a crew will be sent the next day to repair it. There is about a 60% chance the crew will be successful in repairing the arm back to an Excellent condition. Otherwise, they have to try again the next day to x it. The general wear and tear of operation causes at most a single level of deterioration a day and this grade decrease happens about 25% of the time. During the day, the operators can tinker with the arm and are able to increase (if possible) the repair grade level 10% of the time. The operators cannot improve a Failed arm. Management wants to model the daily grade level of a robot arm.
Required:
a. State any assumptions you need to utilize a Discrete Time Markov Chain.
b. What are the possible states of your DTMC?
c. Give the TPM.
d. Draw the TPD
Answer:
It would be C
Step-by-step explanation:
I have done this before!
For a rhombus, which of the following statements are true? (select all that apply)
1)Opposite sides are parallel
2)All sides are congruent
3)Consecutive angles are congruent
4)Consecutive angles are supplementary
5)All angles are congruent
6)Opposite angles are congruent
Answer: 1,4,6
Step-by-step explanation:
https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/
Which is the better deal?
Box of Cheerios
48 oz for $3.99
36 oz for 2.59
12 oz for 1.99
48 oz?
Step-by-step explanation:
I don't know if you are just asking or what not but I belive it is 48 ozs but I could be wrong
Answer:
36oz for 2.59
Step-by-step explanation:
Try doubling each possible answer (largest isn't required):
36oz for 2.59 doubled is 72oz for 5.18.
12oz for 1.99 doubled is 24oz for 3.98.
The clear answer is 72oz for 5.18 instead of 48oz for 3.99.
Which function is increasing and has a domain of (1, 0);
A. f(t) = log(t – 1) + 2
B. f(x) = -log(x - 1) + 2
C. f(t) = log(x - 2) + 1
D. f(x) = -log(x - 2) + 1
The function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
The question is incomplete.
The complete question is:
Which function is increasing and has a domain of (1, ∞);
A. f(t) = log(t – 1) + 2B. f(x) = -log(x - 1) + 2C. f(t) = log(x - 2) + 1D. f(x) = -log(x - 2) + 1As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Graph the function f(t) = log(t – 1) + 2 on a coordinate plane.
As we can see in the graph, the graph of a function has a domain:
(0 , ∞)
And the function is increasing.
Thus, the function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.
Learn more about the Logarithm here:
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Answer:
A. f(t) = log(t – 1) + 2
Step-by-step explanation:
I took the test
Which equation represents circle A?
Answer:
there answer is either a or c
Equation C represents circle A.Option C is correct.
What exactly is a circle?It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
The generalized equation of the circle with the coordinate(h,k) and radius r is;
(x-h)²+ (y-k) =r²
After graphing each and every equation given in the options we will come to the conclusion that equation c satisfies the given circle as;
(x-4)²+ (y-(-5)) =6²
(x-4)²+ (y-(-5)) =36
Hence option C is correct.
To learn more about the circle, refer to the link: https://brainly.com/question/11833983.
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Please help! Due very soon! help ASAP!!!
Answer:
B and C
Step-by-step explanation:
A, when x = 0, y = 5
B, when x = 4, y = 3
C, when x = 12, y = -1
D, when x = 1, y = 9/2
look at the diagram below. which two cities have the same temperature?
options : Aberdeen, Edinburgh, Leeds, Exeter.
some are
edinburgh and exeter
Please I need help it’s an emergency
Answer:
A. Cos θ = 16/42
Step-by-step explanation:
The angle the ladder makes with the floor = θ
Hypotenuse = length of the ladder = 42 m
Adjacent = Distance from the bottom of the ladder to the wall = 16 m
Therefore to find θ, we would apply the trigonometric function, CAH:
Cos θ = adj/hyp
Which is:
Cos θ = 16/42
Lin has a maximum of $40 to spend at the movies. The movie ticket costs $10. After purchasing the ticket, she can spend d dollars to buy food items at the movies.
Which inequality can be used to find the possible values for d?
Answer:
d ≤ 30
Step-by-step explanation:
40 - 10 = 30
she will be able to spend at most 30 dollars
numerical expressions with the answer 14
Answer:
7 x 2 = 14 or even 7 x 4 / 2 = 14
Step-by-step explanation: