Suppose x is a binomial random variable with n = 3 and p =

Chapter 4, Problem 42E

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QUESTION:

Problem 42E

Suppose x is a binomial random variable with n = 3 and p = .3.

a. Calculate the value of p(x), x = 0, 1, 2, 3, using the formula for a binomial probability distribution.

b. Using your answers to part a, give the probability distribution for x in tabular form.

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QUESTION:

Problem 42E

Suppose x is a binomial random variable with n = 3 and p = .3.

a. Calculate the value of p(x), x = 0, 1, 2, 3, using the formula for a binomial probability distribution.

b. Using your answers to part a, give the probability distribution for x in tabular form.

ANSWER:

Solution 42E

Step1 of 3:

Let us consider a random variable ‘X’ it follows binomial distribution with parameters n = 3, and p = 0.3.

Here our goal is:

a). We need to calculate the value of p(x), x = 0, 1, 2, 3, using the formula for a binomial probability distribution.

b). We need to give the probability distribution for x in tabular form by using your answers to part (a).


Step2 of 3:

a).

Here random variable ‘X’ it follows binomial distribution.

That is,

X B(n, p)

X B(3, 0.3)  

We know that the probability mass function of binomial distribution is:

                   x = 0,1,2,...,n.

Now,

     

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