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Suppose that X follows a binomial distribution with a mean that equals 4. If the range of X is known to be 10, what is the probability that X is either 2 or 4 ?

Suppose that X follows a binomial distribution with a mean that equals 4. If the range of X is known to be 10, what is the probability that X is either 2 or 4 ?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose that X follows a binomial distribution with a mean that equals 4. If the range of X is known to be 10, what is the probability that X is either 2 or 4 ?

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Step 3

Now Here Required Probability=P(X=2 OR X=4) = P(X=2) + P(X=4)

Because P(X=2) And P(X=4 ) are mutually exclusive events 

Now 

P(X=2)=1020.420.68=0.1209

And 

P(X=3)= 1040.440.66=0.2508

Now 

P(X=2 OR 4) = P(X=2) + P(X=4) = 0.1209 + 0.2508 = 0.3717ANS  

 

 

I don't understand your step 3. what is 1040.440.66? and hơ you come up to the answer?

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