In a certain community, on a particular weekday evening, the television is being watched in 85% of the households. A random telephone survey selects 15 households to call in an evening. What is the probability that exactly ten will be watching television? (ANSWER MUST BE 4 DIGITS)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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In a certain community, on a particular weekday evening, the television is being watched in 85% of the households. A random telephone survey selects 15 households to call in an evening. What is the probability that exactly ten will be watching television?

(ANSWER MUST BE 4 DIGITS)

Expert Solution
Step 1

Givenp=0.85sample size(n)=15Let "x" be households watching televisionx~Binomial(n=15,p=0.85)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,..,n  

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