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)
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Chapter1: Combinatorial Analysis
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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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb0af566-5c9a-4092-b25d-d924b78695af%2F787ef712-1d64-4b6c-a328-7e3be0156d93%2Frtstvtd_processed.png&w=3840&q=75)
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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