Use this binomial distribution to answer the next 2 question

Use this binomial distribution to answer the next 2 questions. Suppose the random variable X is defined as the number of trails until the first success. It has a geometric distribution with a mean of 4.0. The probability that X is would be:

Solution

11

P(X=3) = 6C3 * 0.46^3 * (1-0.46)^(6-3) = 20*0.097336* 0.157464

P(X=3) = 0.307

12

P( 5 < x < 6) = F(6) - F(5) = 1 - 0.991 = 0.009

13

mean = 1/p

4 = 1 / p

p = 1/4 = 0.25

P( x=3) = q ^(x-1) * p

P(x =3) = 0.75 ^(3-1) * 0.25 = 0.1406 = 0.141

14

BINOMIAL DISTRIBUTION

for the other question I can gladly help you but chegg\'s policy allow me to answer only 1 question per post

I helped you with 4 question

YOU SHOULD POST THE OTHER QUESTIONS IN A NEW QUESTION