Chick fil a is planning to open a big location on Lust campus. Based on their experience they know that each customer on average spends 35 minutes with standard deviation of 15 minutes for dining in and it approximately follows normal distribution. If in a certain day 25 customers arrive: What is the mean and variance of total time customers spend in store? a. b. what is the probability of the total service time would be between 825 to 900 minutes?

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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Chick fil a is planning to open a big location on
that each customer on average spends 35 minutes with standard deviation of 15 minutes for dining
in and it approximately follows normal distribution. If in a certain day 25 customers arrive:
Lust campus. Based on their experience they know
а.
What is the mean and variance of total time customers spend in store?
b.
what is the probability of the total service time would be between 825 to 900
minutes?
On average, it takes 400 days that a
Lust one-card wears out and printing fades away. In a random
sample of 1600 one-cards:
Find the expected value and variance of the sample mean.
а.
b.
what is the probability that the average wear out time of the selected cards will be
greater than 380 days?
Transcribed Image Text:Chick fil a is planning to open a big location on that each customer on average spends 35 minutes with standard deviation of 15 minutes for dining in and it approximately follows normal distribution. If in a certain day 25 customers arrive: Lust campus. Based on their experience they know а. What is the mean and variance of total time customers spend in store? b. what is the probability of the total service time would be between 825 to 900 minutes? On average, it takes 400 days that a Lust one-card wears out and printing fades away. In a random sample of 1600 one-cards: Find the expected value and variance of the sample mean. а. b. what is the probability that the average wear out time of the selected cards will be greater than 380 days?
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For variable X,

Z=X-μσ,where μ=population mean            σ=population standard deviation

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