Question-5The PH level for water samples from the lake is a random variable with probability density functionS(x) = { ² (7- x)² 5 ≤x≤7I.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 arenon-defective. In how many different orders can the 22 items be arranged.

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Answered: Question-5 The PH level for water…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x. X P(x) 0 0.125 1 0.375 2 0.375 3 0.125 O A. mean: 1.50; standard deviation: 0.87 OB. mean: 1.50; standard deviation: 0.76 O C. mean: 2.25; standard deviation: 0.87 O D. mean: 2.25; standard deviation: 0.76 C
H0:μ=12.8H0:μ=12.8H1:μ<12.8H1:μ<12.8Your sample consists of 45 subjects, with a mean of 12.3 and standard deviation of 1.27.Calculate the test statistic, rounded to 2 decimal places. You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.28. Your sample data produce the test statistic z=−2.672z Find the p-value accurate to 4 decimal places.
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