Problem # 1. The National Health Interview Survey reports that 41% of the telephone users no longer use landlines, and have switched completely to cell phone use. Suppose we take random sample of 10 telephone users. Use the table below to answer the question a. X P = 0.41 0 0.0051 1 0.0355 2 0.1111 3 0.2058 4 0.2503 5 0.2087 6 0.1209 0.0480 8 0.0125 9 0.0019 10 0.01 a) Find the probability that the sample contains at least 5 users who have abandoned their landlines? Show all your steps. (5 points) Hint P(X at least 5) = P( X= 5)+ P( X= 6)+ P( X= 7)+ P( X= 8)+ P( X= 9)+ P( X= 10) b) Assume that the National Health Interview Survey reports that 44% of telephone users no longer use landlines and have switched completely cell phone use. Suppose we take a random sample of 10 telephone users. Find the probability that the sample contains exactly 5 users who have abandoned their landlines? Show all your steps. (5 points) Hint use the binomial probability formula given on page 203 in the textbook