BER 540 Homework #3 1. The number of emergency calls a local police department receives per 24-hour period is distributed as shown here. Construct a graph for the data. Number of Calls – X 10 11 12 13...

Questions 4, 6.7 Only! Statistics doesn't require references...


BER 540 Homework #3 1. The number of emergency calls a local police department receives per 24-hour period is distributed as shown here. Construct a graph for the data. Number of Calls – X 10 11 12 13 14 Probability – P(X) 0.02 0.12 0.40 0.31 0.15 2. A bank has a drive-through service. The number of customers arriving during a 15-minute period is distributed as shown. Find the mean, variance, and standard deviation for the distribution. Number of Customers – X 0 1 2 3 4 Probability – P(X) 0.12 0.20 0.31 0.25 0.12 3. During a recent paint sale at Corner Hardware, the number of cans of paint purchased was distributed as shown. Find the mean, variance, and standard deviation of the distribution. Number of Cans – X 1 2 3 4 5 Probability – P(X) 0.42 0.27 0.15 0.10 0.06 4. Using the distribution of Cans of Paint from Question 3, calculate the probability that someone will buy: a. Exactly 4 cans b. 3 or more cans of paint c. 3 or less cans of paint 5. If 30% of all commuters ride the train to work, find the probability that if 10 workers are selected, 5 will ride the train. Use the binomial formula. 6. A club has 225 members. If there is a 70% attendance rate per meeting, find the mean, variance, standard deviation, and expected number of people who attend each meeting. Note that this is a binomial distribution. 7. One out of four Americans over age 55 has eaten pizza for breakfast. P(Eaten Pizza) = 0.25. If a sample of 10 Americans over the age of 55 is selected at random, find the probability that at most 3 have eaten pizza for breakfast. Use the binomial formula.