Assume the number of customers who order a dessert with their meal on a given night at a local restaurant has the probability distribution given below. The variance for the random variable x is _____. a. .77

Complete question :

X: 3, 4, 5, 6

f(x): .25, .55, .15, .05

Answer:

0.60

Step-by-step explanation:

Given the data:

Variance (s) :

Σx²*f(x) - E(x)²:

E(x) = (3*0.25) + (4*0.55)+(5*0.15)+(6*0.05) = 4

Σx²*f(x) - E(x)²: [(3^2 * 0.25)+(4^2 * 0.55)+(5^2 * 0.15)+(6^2 * 0.05)] - 4²

16.6 - 16 = 0.6

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A state forest service is conducting a study of the people who use state-operated camping facilities. The state has two camping areas, one located in the mountains and one located along the coast. The forest service wishes to estimate the average number of people per campsite during a popular weekend when all sites are expected to be used. There are 50 campsites in the mountains and 100 along the coast. From experience, the forest service knows that most sites in the mountains contain from 1-6 people and most sites along the coast contain from 1-10 people. Suppose the forest service can afford to conduct 20 interviews (e.g. they can select 20 campsites) (because they are asking many other questions in addition to number of people using the campsite and they want to do the interviews in person).
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Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the appe slices. So he conducted a study where he used a peanut butten oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different votes
Indicate which of the following is the null hypothesis, and which is the alternate hypothesis
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