Question

In: Statistics and Probability

Tallula’s Watch Company makes watchesSome the watches are defective. The probability that a given watch is...

Tallula’s Watch Company makes watchesSome the watches are defective. The probability that a given watch is defective is 0.105. The number of watches that are defective in a shipment of watches is described by a binomial random variable . Using the binomial distribution , determine the probability that exactly 9 watches are defective in a shipment of 28 watches . Express your answer to six decimal places .

Solutions

Expert Solution

Let X be the number of defective watches.

Then

with

We need to find P(X=9)

Additional information:

X P(X=x)
0 0.044776
1 0.147085
2 0.232954
3 0.236858
4 0.173674
5 0.097801
6 0.043983
7 0.016217
8 0.004994
9 0.001302
10 0.000290
11 0.000056
12 0.000009
13 0.000001
14 0.000000
15 0.000000
16 0.000000
17 0.000000
18 0.000000
19 0.000000
20 0.000000
21 0.000000
22 0.000000
23 0.000000
24 0.000000
25 0.000000

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orchestra answered 3 years ago
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