Plzz solved both question (i and ii) Compulsoury... And explain The effective life of a bulb used in a car light is a random variable with meanof 3400 hours and standard deviation of 25 hours. The distribution ofeffective life is fairly close to a normal distribution. The car manufacturerintroduces an improvement into the manufacturing process for this bulb thatincreases the mean life to 4000 hours and decreases the standard deviation to15 hours. Given a random sample of 20 bulbs is selected from the old processand 35 bulbs are selected from the improved process.(c)(1) Compute the probability that the mean of old process is more than 3403hours.(ii) Calculate the probability that the difference between sample mean ofimproved and old process is at least 603 hours.

Let the parameters corresponding to the first population (before improvement) is represented using…

(i) Compute the probability that the mean of old process is more than 3403 hours. (ii) Calculate the probability that the difference between sample mean of improved and old process is at least 603 hours.

(i) Compute the probability that the mean of old process is more than 3403 hours. (ii) Calculate the probability that the difference between sample mean of improved and old process is at least 603 hours.

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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Question

Plzz solved both question (i and ii) Compulsoury... And explain

The effective life of a bulb used in a car light is a random variable with mean
of 3400 hours and standard deviation of 25 hours. The distribution of
effective life is fairly close to a normal distribution. The car manufacturer
introduces an improvement into the manufacturing process for this bulb that
increases the mean life to 4000 hours and decreases the standard deviation to
15 hours. Given a random sample of 20 bulbs is selected from the old process
and 35 bulbs are selected from the improved process.
(c)
(1) Compute the probability that the mean of old process is more than 3403
hours.
(ii) Calculate the probability that the difference between sample mean of
improved and old process is at least 603 hours.

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