# In each case, determine the value of the constant c that ## Problem 29E Chapter 4

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 29E

In each case, determine the value of the constant ?c ?that makes the probability statement correct.

Step-by-Step Solution:

Answer : Step 1 of 5 : The claim is to determine the value of the constant c that makes the probability statement correct. a) We have to find the c value (c) = 0.9838 We have to check standard normal table for the value 0.9838 0.9838 lies in 2.1 row and 4the column Therefore, c = 2.14 Step 2 of 5 : b) We have to find the c value P(0 Z c) = 0.291 P(Z c) - P(Z 0) = 0.291 P(Z c) - 0.5000= 0.291 P(Z c) = 0.791 We have to check standard normal table for the value 0.791 0.791 lies in 0.8 row and 1st column Therefore, c = 0.81 Step 3 of 5 : c) We have to find the c value P(Z c) = 0.121 Then, P(Z c) = 1 - 0.121 P(Z c) = 0.879 We have to check standard normal table for the value 0.879 0.879 lies in 1.1 row and 7th column Therefore, c = 0.81

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