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# In a lot of 10 microcircuits, 3 are defective. Four ISBN: 9780073401331 38

## Solution for problem 11E Chapter 4.4

Statistics for Engineers and Scientists | 4th Edition

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Problem 11E

In a lot of 10 microcircuits, 3 are defective. Four microcircuits are chosen at random to be tested. Let X denote the number of tested circuits that are defective.

a. Find P(X = 2).

b. Find μX

c. Find σX

Step-by-Step Solution:

Answer:

Step 1 of 4:

Given, we have a lot of 10 microcircuits, in that 3 are defectives and 4 microcircuits are chosen at random to be tested.

Let X = number of tested circuits that are defectives.

Let X follows Hypergeometric distribution with probability mass function is

P(x) = X~H(10, 3, 4).

From the given problem, N = 10, K = 3 and n = 4

Step 2 of 4

Step 3 of 4

##### ISBN: 9780073401331

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In a lot of 10 microcircuits, 3 are defective. Four