About 7% of employed adults in the United States have multiple jobs. A random sample a 71 employed adults is chosen.  A new sample of 347 employee adult is chosen. Find the probability that less than 5.4% of the individuals in the sample how multiple jobs.

Let X1,...,Xn ∼ iid N(μ,τ) with both μ and τ unknown. Consider estimators of the form δb(x) = bS2, where S2 = ∑ni=1(Xi −X ̄)2. Note that we have already considered estimators of this form with b = 1/n and b = 1/n−1. (a) Calculate the MSE for δb(x) as a function of the choice b.(b) Find the value of b (depending on n) that minimizes the MSE. (c) Is the resulting estimator unbiased? If not, what is the bias?

96 percent of adults own a smart phone around the world. In a random sample of 250 adults, what is the probability that 94% or more will own a smart phone?

Suppose 20% of business majors major in finance. You take a random sample of 3 business majors. What is the chance that only one of them majors in finance? (write the answer in three decimal places)

Suppose that 62% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction

If 4% of the passengers traveling to San Francisco have their luggage lost, what is the probability of the 150 people on your plane at least 5 will lose their luggage?

A fair die is rolled five times. A1 is considered​ "success," while all other outcomes are​ "failures." Find the probability of 1 success?

Out of 39 men and 26 women what's the probability of randomly choosing a woman?

In one town, 61% of adults have health insurance. What is the probability that 5 adults selected at random from the town all have health insurance?

If two people are chosen with replacement from the data, what is the probability that both are wearing athletic shoes and the second is a woman wearing dress shoes?