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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. i) What is the probability if the waiting time is at most 2.8 minutes? iii) Find the probability that the waiting time is more than 3 minutes. ii) 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. i) What is the probability if the waiting time is at most 2.8 minutes? iii) Find the probability that the waiting time is more than 3 minutes. ii) Find the value of kif 95% of all the customers are having waiting time of less than k minutes.

A First Course in Probability (10th Edition)
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 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. i) What is the probability if the waiting time is at most 2.8 minutes? i) 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. 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 LA State the type of the random variable X and calculate the expected value of X. LY Find P(X < H).
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. i) What is the probability if the waiting time is at most 2.8 minutes? i) 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. 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 LA State the type of the random variable X and calculate the expected value of X. LY Find P(X < H).
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