T2A

For a binomial distribution based on n = 100, the standard deviation would be larger for p = 0.90 than for p = 0.50. O True O FalseSuppose it is known that 30% of U.S. citizens believe that there need to be stricter gun laws. A simple random sample of 100 U.S. citizens is drawn. (a) Determine whether the following statement is true or false. The number of people in the sample who believe that there need to be stricter gun laws is a binomial variable. O True O False (b) Find the mean number of people in samples of size 100 who believe that there need to be stricter gun laws. (c) Find the standard deviation of the number of people in samples of size 100 who believe that there need to be stricter gun laws. (Round your answer to two decimal places.)E and Fare mutually exclusive events. P(E) = 0.5; P(F) = 0.1. Find P(E|F). (Enter your answer to one decimal place.) P(E|F) =A company wants to evaluate its attrition rate, in other words, how long new hires stay with the company. Over the years, they have established the following probability distribution. Let X = the number of years a new hire will stay with the company. Let P(x) = the probability that a new hire will stay with the company x years. Find P(x = 4). (Enter an exact number as an integer, fraction, or decimal.) P(x = 4) = X P(x) 0 0.11 0.19 2 0.25 3 0.20 5 0.05 0.05