The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.1 minutes and standard deviation 1.4 minutes. Suppose that a random sample of n = 50 customers is observed. Find the probability that the average time waiting in line for these customers is (a) Less than 10 minutes (b) Between 5 and 10 minutes (c) Less than 6 minutes Round your answers to four decimal places (e.g. 0.9876). (a) The probability is i (b) The probability is i (c) The probability is i Statistical Tables and Charts

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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**Transcription for Educational Website**

The amount of time that a customer spends waiting at an airport check-in counter is a random variable with a mean of 8.1 minutes and a standard deviation of 1.4 minutes. Suppose that a random sample of \( n = 50 \) customers is observed. Find the probability that the average time waiting in line for these customers is:

(a) Less than 10 minutes  
(b) Between 5 and 10 minutes  
(c) Less than 6 minutes  

Round your answers to four decimal places (e.g., 0.9876).

(a) The probability is [ ]  
(b) The probability is [ ]  
(c) The probability is [ ]  

**Statistical Tables and Charts**
Transcribed Image Text:**Transcription for Educational Website** The amount of time that a customer spends waiting at an airport check-in counter is a random variable with a mean of 8.1 minutes and a standard deviation of 1.4 minutes. Suppose that a random sample of \( n = 50 \) customers is observed. Find the probability that the average time waiting in line for these customers is: (a) Less than 10 minutes (b) Between 5 and 10 minutes (c) Less than 6 minutes Round your answers to four decimal places (e.g., 0.9876). (a) The probability is [ ] (b) The probability is [ ] (c) The probability is [ ] **Statistical Tables and Charts**
Expert Solution
Step 1

Given that

μ=8.1,σ=1.4,n=50

Find the given probabilities

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