A boiler has four relief valves. The probability that each

Chapter 2, Problem 8E

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QUESTION:

Problem 8E

A boiler has four relief valves. The probability that each opens properly is 0.99.

(a) Find the probability that at least one opens properly.

(b) Find the probability that all four open properly.

Questions & Answers

QUESTION:

Problem 8E

A boiler has four relief valves. The probability that each opens properly is 0.99.

(a) Find the probability that at least one opens properly.

(b) Find the probability that all four open properly.

ANSWER:

Answer

Step 1 of 3

Here n=4

       p=0.99

       q=0.01

Let x is no. of boiler open

X~B(4,0.99)

The pmf of binomial distribution is P(x)=ncx px qn-x ,x=0,1,2,....,n


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