Question-5 The PH level for water samples from the lake is a random variable with probability density function S(x) = { ² (7- x)² 5 ≤x≤7 f I. find the probability that the PH level measurements will be at most 6.8; II. what is level of PH that the measurements will be exceeded with 82% of the pH measurements. b. A machinist produces 22 items during a shift. Three of the 22 items are defective and the rest are non-defective. In how many different orders can the 22 items be arranged.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Question-5
The PH level for water samples from the lake is a random variable with probability density function
S(x) = { ² (7- x)² 5 ≤x≤7
I.
find the probability that the PH level measurements will be at most 6.8;
II. what is level of PH that the measurements will be exceeded with 82% of the pH measurements.
b. A machinist produces 22 items during a shift. Three of the 22 items are defective and the rest are
non-defective. In how many different orders can the 22 items be arranged.
Transcribed Image Text:Question-5 The PH level for water samples from the lake is a random variable with probability density function S(x) = { ² (7- x)² 5 ≤x≤7 I. find the probability that the PH level measurements will be at most 6.8; II. what is level of PH that the measurements will be exceeded with 82% of the pH measurements. b. A machinist produces 22 items during a shift. Three of the 22 items are defective and the rest are non-defective. In how many different orders can the 22 items be arranged.
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