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A boiler has four relief valves. The probability that each
Chapter 2, Problem 8E(choose chapter or problem)
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