Discrete Random Variables & Discrete Distributions

      1. Solve the following Exercises from chapter 5 of the e-book5.11, 5.22, 5.23, 5.32 2. The following table contains the probability distribution for the number of traffic accidents daily in a small city. x 0 1 2 3 4 5p(x) 0.10 0.20 0.45 0.15 0.05 0.05 a) Find P(X = 4)b) Find P(X > 2)c) Compute the mean and the variance of X. 3. Fifty-five percent of the applications received for a particular credit card are accepted. Twelve applications are selected. a) What is the probability that all will be rejected? b) What is the probability that all will be accepted? c) What is the probability that exactly 4 will be accepted? d) What is the probability that fewer than 3 will be accepted? e) Determine the expected number and the variance of the accepted applications 4. Suppose that the average number of planes landing at Dubai airport is 20 per hour. What is the probability thata) 30 airplanes land at the airport in an hour?b) 50 airplanes land at the airport in an 2 hoursc) At least 10 airplanes land at the airport in an hour?d) Find the expected number and the variance of the airplanes land at Dubai Airport