Solved: The random variable X has a binomial distribution

Chapter 3, Problem 94E

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QUESTION:

The random variable X has a binomial distribution with n = 10 and p = 0.5. Determine the following probabilities:

(a) \(P(X=5)\)                 (b) \(P(X \leq 2)\)

(c) \(P(X \geq 9)\)                 (d) \(P(3 \leq X<5)\)

Equation transcription:

Text transcription:

P(X=5)

P(X \leq 2)

P(X \geq 9)

P(3 \leq X<5)

Questions & Answers

QUESTION:

The random variable X has a binomial distribution with n = 10 and p = 0.5. Determine the following probabilities:

(a) \(P(X=5)\)                 (b) \(P(X \leq 2)\)

(c) \(P(X \geq 9)\)                 (d) \(P(3 \leq X<5)\)

Equation transcription:

Text transcription:

P(X=5)

P(X \leq 2)

P(X \geq 9)

P(3 \leq X<5)

ANSWER:

Solution:

Step 1 of 5:

It is given that X is a random variable and it has the Binomial distribution with n=10 and p=0.5.

Using this we need to find the required values.


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