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QUESTION 3 a) The waiting time at an elevator in a shopping mall is approximately normally distributed with a mean of 3.2 minutes and a standard deviation of 1.5 minutes. 5 What is the probability if the waiting time is at most 2.8 minutes? L Find the probability that the waiting time is more than 3 minutes. i Find the value of kif 95% of all the customers are having waiting time of less than k minutes.

QUESTION 3 a) The waiting time at an elevator in a shopping mall is approximately normally distributed with a mean of 3.2 minutes and a standard deviation of 1.5 minutes. 5 What is the probability if the waiting time is at most 2.8 minutes? L Find the probability that the waiting time is more than 3 minutes. i Find the value of kif 95% of all the customers are having waiting time of less than k minutes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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QUESTION 3 a) The waiting time at an elevator in a shopping mall is approximately normally distributed with a mean of 3.2 minutes and a standard deviation of 1.5 minutes. 5 What is the probability if the waiting time is at most 2.8 minutes? L Find the probability that the waiting time is more than 3 minutes. Find the value of k if 95% of all the customers are having waiting time of less than k minutes. b) An important factor in solid missile fuel is the particle size distribution. Based on the production data in the past, it has been determined that the particle size (in micrometers) distribution, X is having the following probability density function. f(x) = { 12x*(1 – x) :0 sxs1 ; others i) State the type of the random variable X and calculate the expected value of X. i) Find P(X < µ).
Transcribed Image Text:QUESTION 3 a) The waiting time at an elevator in a shopping mall is approximately normally distributed with a mean of 3.2 minutes and a standard deviation of 1.5 minutes. 5 What is the probability if the waiting time is at most 2.8 minutes? L Find the probability that the waiting time is more than 3 minutes. Find the value of k if 95% of all the customers are having waiting time of less than k minutes. b) An important factor in solid missile fuel is the particle size distribution. Based on the production data in the past, it has been determined that the particle size (in micrometers) distribution, X is having the following probability density function. f(x) = { 12x*(1 – x) :0 sxs1 ; others i) State the type of the random variable X and calculate the expected value of X. i) Find P(X < µ).
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