Question

Example 1.7-1: A submarine attempts to sink an aircraft carrier. It will be successful only if two or more torpedoes hit the carrier. If the sub fires three torpedoes and the probability of a hit is 0.4 for each torpedo, what is the probability that the carrier will be sunk?

Name: example 7 1 lind the probabilities of sinking in the submarine problem of 47 3 2 or more n 4 torpedoes are fired the carrier when fewer n this will be demonstrated by the following example e 08192
Uploaded: 2021-12-30T10:58:33-08:00
Duration: 3 min 6 s
Channel: Arjun Choudhary
Description: example 7 1 lind the probabilities of sinking in the submarine problem of 47 3 2 or more n 4 torpedoes are fired the carrier when fewer n this will be demonstrated by the following example e 08192

          Example 1.7-1: A submarine attempts to sink an aircraft carrier. It will be successful only if two or more torpedoes hit the carrier. If the sub fires three torpedoes and the probability of a hit is 0.4 for each torpedo, what is the probability that the carrier will be sunk?

Added by Kevin P.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Arjun Choudhary

12/30/2021

Step 1

The probability of 0 hits is (0.6)^3 = 0.216. This is because the probability of a miss is 0.6 (1 - 0.4), and we have three independent events (the firing of each torpedo). The probability of exactly 1 hit is 3*(0.4)*(0.6)^2 = 0.432. This is because there are Show more…

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Example 1.7-1: A submarine attempts to sink an aircraft carrier. It will be successful only if two or more torpedoes hit the carrier. If the sub fires three torpedoes and the probability of a hit is 0.4 for each torpedo, what is the probability that the carrier will be sunk?