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assume all variables are binomial. (Note: If
Chapter 5, Problem 16E(choose chapter or problem)
Problem 16E
assume all variables are binomial. (Note: If values are not found in Table B of Appendix C, use the binomial formula.)
Guidance Missile System A missile guidance system has five fail-safe components. The probability of each failing is 0.05. Find these probabilities.
a. Exactly 2 will fail.
b. More than 2 will fail.
c. All will fail.
d. Compare the answers for parts a, b, and c, and explain why these results are reasonable.
Questions & Answers
QUESTION:
Problem 16E
assume all variables are binomial. (Note: If values are not found in Table B of Appendix C, use the binomial formula.)
Guidance Missile System A missile guidance system has five fail-safe components. The probability of each failing is 0.05. Find these probabilities.
a. Exactly 2 will fail.
b. More than 2 will fail.
c. All will fail.
d. Compare the answers for parts a, b, and c, and explain why these results are reasonable.
ANSWER:
Answer
Step 1 of 4
(a)
A missile guidance system has five fail-safe components.
We have given the probability of each failing is 0.05.
We are asked to find the probabilities that exactly 2 will fail.
Let denote the number of components that will fail.
We need to find
Using the binomial distribution, we can find the probability.
The binomial distribution
We have given
We can write,
Use Table 2 of Appendix C to find the probability value corresponding to value of
Hence the probabilities that exactly 2 will fail is