Question

1. Determine whether or not each of the following is a Binomial random variable. If it is not a Binomial random variable, provide a short explanation. a) You roll a die 25 times. Let X be the number of times that you roll "3". b) The SJSU football team will play 12 games next season. They have a 70% chance of winning each conference game and a 60% chance of winning each nonconference game. Let X be the number of games the SJSU football team wins next season. c) Evelyn has a 75% chance of getting an A in each class she takes. Let X be the number of times Evelyn earns an A during four years at SJSU.

Answer 1

Answer:

a) You roll a die 25 times. Let X be the number of times that you roll "3".

* Is a Binomial

b) The SJSU football team will play 12 games next season. They have a 70% chance of winning each conference game and a 60% chance of winning each nonconference game. Let X be the number of games the SJSU football team wins next season.

* Not a Binomial because probability of success is not constant

c) Evelyn has a 75% chance of getting an A in each class she takes. Let X be the number of times Evelyn earns an A during four years at SJSU.

* Is a Binomial