Compute (a)  ?(? = 1), (b) ?(? ≥ 4), and (c) ?(1 ≤ ? ≤ 3).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. Each of 12 refrigerators of a certain type has been returned to a distributor because of the presence of 
a high-pitched oscillating noise when the refrigerator is running. Suppose that four of these 12 have 
defective compressors and the other eight have less serious problems. If they are examined in random 
order, let ? be the number among the first six examined that have a defective compressor. Compute (a) 
?(? = 1), (b) ?(? ≥ 4), and (c) ?(1 ≤ ? ≤ 3). 

2. Each of 12 refrigerators of a certain type has been returned to a distributor because of the presence of
a high-pitched oscillating noise when the refrigerator is running. Suppose that four of these 12 have
defective compressors and the other eight have less serious problems. If they are examined in random
order, let X be the number among the first six examined that have a defective compressor. Compute (a)
P(X = 1), (b) P(X ≥ 4), and (c) P(1 ≤ X ≤ 3).
Transcribed Image Text:2. Each of 12 refrigerators of a certain type has been returned to a distributor because of the presence of a high-pitched oscillating noise when the refrigerator is running. Suppose that four of these 12 have defective compressors and the other eight have less serious problems. If they are examined in random order, let X be the number among the first six examined that have a defective compressor. Compute (a) P(X = 1), (b) P(X ≥ 4), and (c) P(1 ≤ X ≤ 3).
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