Answer: Compute the following binomial probabilities

Chapter 3, Problem 46E

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QUESTION:

Problem 46E

Compute the following binomial probabilities directly from the formula for b(x; n, p):

a. b(3; 8, .35)

b. b(5; 8, .6)

c.P(3 ≤ X ≤ 5) when n= 7 and p = .6

d. P(1≤ X) when n = 9 p = .1

Questions & Answers

QUESTION:

Problem 46E

Compute the following binomial probabilities directly from the formula for b(x; n, p):

a. b(3; 8, .35)

b. b(5; 8, .6)

c.P(3 ≤ X ≤ 5) when n= 7 and p = .6

d. P(1≤ X) when n = 9 p = .1

ANSWER:

 Answer :

Step 1 of 5:

Let X follows binomial distribution with probability mass function is

P(x: n,p) =  (1 - p , x = 0, 1, 2, ….., n.

Where,

n = sample size

   = 5

x = random variable

p = probability of success

q = 1 - p (probability of failure)


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