Question

A) Let X be a discrete random variable that follows a binomial distribution with n = 20 and probability of success p = 0.16.

What is P(X≤2)?

Round your response to at least 3 decimal places.

B)A baseball player has a 60% chance of hitting the ball each time at bat, with succesive times at bat being independent. Calculate the probability that he gets at least 2 hits in 11 times at bat.

Answer to 3 decimals please.

C) A camera's flash mechanism fails on 28% of shots. If 20 shots are taken using the flash, what is the probability that the flash fails exactly twice? (Please answer to 4 decimals of accuracy.)

D) Three students play a game 7 times. The probability of winning a single game for Jimmy is 6%, for Robert 11%, and for Tommy 83%. Assuming the outcomes of the 7 games are independent of each, find the probability that Jimmy wins exactly two games. (Please answer to 3 decimals of accuracy.)

E) A series of n independent trials are run for a Binomial Process with probability of success p. If the mean is found to be 0.8 and the variance is 0.2, what is p? (Please answer to 3 decimals of accuracy - compare the formulas and use some algebra.)

Answer 1

A) P-0 16, 20 On awで9 0 358 p(x 《1) :0.358 0.999 190 Co.0784) CO 0027 0.0403

5 = 2) (0 . C036) ( 0, 7339) 0,055 :0.2 0.25

Hope this will help you. Thank you :)