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When commercial aircraft are inspected, wing cracks are
Chapter 5, Problem 125E(choose chapter or problem)
Problem 125E
When commercial aircraft are inspected, wing cracks are reported as nonexistent, detectable, or critical. The history of a particular fleet indicates that 70% of the planes inspected have no wing cracks, 25% have detectable wing cracks, and 5% have critical wing cracks. Five planes are randomly selected. Find the probability that
a one has a critical crack, two have detectable cracks, and two have no cracks.
b at least one plane has critical cracks.
Questions & Answers
QUESTION:
Problem 125E
When commercial aircraft are inspected, wing cracks are reported as nonexistent, detectable, or critical. The history of a particular fleet indicates that 70% of the planes inspected have no wing cracks, 25% have detectable wing cracks, and 5% have critical wing cracks. Five planes are randomly selected. Find the probability that
a one has a critical crack, two have detectable cracks, and two have no cracks.
b at least one plane has critical cracks.
ANSWER:
Solution 125E
Step1 of 3:
We have commercial aircraft are inspected, wing cracks are reported as nonexistent, detectable, or critical. Here the 70% of the planes inspected have no wing cracks, 25% have detectable wing cracks and 5% have critical wing cracks. Five planes are randomly selected.
Here our goal is:
a). We need to find the probability of one has a critical crack, two have detectable cracks, and two have no cracks.
b). We need to find the probability of at least one plane has critical cracks.
Step2 of 3:
a).
Here we have:
The number of aircraft have critical crack = 1,
The number of aircraft have detectable cracks = 2, and
The number of aircraft have no cracks = 2.