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Asked Dec 12, 2019
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Find P(x <= 1 | n = 15, p = 0.25) by using the binomial formula.

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Expert Answer

Step 1

Solution: We are given that a random variable x follows the binomial distribution with n = 15 and p = 0.25.

Therefore, we are given:

 

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n=15,p=0.25

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Step 2

We have to find:

 

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P(x<1)

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Step 3

Now using the binomial probability mass...

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n! p'(1- p)* Р(X — х)— (п-х)!x! Therefore, we have: P(x<1) = P(x= 0)+ P(x =1) 15! 15! 0.25'(1-0.25) 0.25 (1-0.25)5"+ (15-0)!0! (15–1)!1! =(1x1x0.013363)+(15x0.25x0.017818) = 0.013363+0.066817 = 0.0802

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