14 The probability that a randomly selected patient who visi

14. The probability that a randomly selected patient who visits the ER will die within 1 year of the visit is 0.05.

What is the probability that exactly 1 of 10 randomly selected visitors to the ER will die within 1 year?

15. What is the probability that at least 2 of 25 randomly selected visitors will die within 1 year?

14)

P = 0.05

q = 0.95

n = 10

P(x=1 ) = 10C1 * 0.05^1 * 0.95^(10-1) = 0.3151

15)

P( x > 2 ) = 1 - P( x <2 ) = 1 - [P(x=0) + P(x=1) + P(x=2) ]

P(x=0) = 25C0 * 0.05^0 *0.95^25-0 =0.2774

P(x=1) = 25C1 * 0.05^1 *0.95^25-1 =0.3650

P(x=2) = 25C2 * 0.05^2 *0.95^25-2 =0.2305

P(x > 2) = 0.1271