Suppose it is known that 50% of U.S. citizens believe that there need to be stricter gun laws. A simple random sample of 120 US. 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. '-_.-' True C! False {b} Find the mean number of people in samples of size 120 who believe that there need to be stricter gun laws. |:| (c) Find the standard deviation of the number of people in samples of size 120 who believe that there need to be stricter gun laws. (Round your answer to two decimal places.)- |:| E and F are mutually exclusive events. P(E) = 0.3; P(F) = 0.2. Find P(E|F). (Enter your answer to one decimal place.) P(E| F) =A company wants 0 evaluate its attrition rater 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 PIIK) : the probability that a new hire will stay with the company x years. Find P(x = 4}. (En er an exact number as an integer, fraction, or decimal.) gov4F: P(x) 0.14 0.16 0.25 0.20 0.10 0.05 @mhwmv'ON