store gathers some demographic information from their customers. The following chart summarizes the age-related information they collected:AgeNumber of Customers<20<209720-306430-405540-509150-6088≥60≥6093One customer is chosen at random for a prize giveaway.What is the probability that the customer is at least 20 but no older than 50?    What is the probability that the customer is either older than 50 or younger than 20?    What is the probability that the customer is at least 50?    Enter your answers as either decimals or fractions, not as percents.

Question
Asked Oct 4, 2019

 store gathers some demographic information from their customers. The following chart summarizes the age-related information they collected:

Age Number of Customers
<20<20 97
20-30 64
30-40 55
40-50 91
50-60 88
≥60≥60 93



One customer is chosen at random for a prize giveaway.

What is the probability that the customer is at least 20 but no older than 50?    

What is the probability that the customer is either older than 50 or younger than 20?    

What is the probability that the customer is at least 50?    

Enter your answers as either decimals or fractions, not as percents.

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Expert Answer

Step 1

The probability that the customer is at least 20 but no older than 50 is 0.4303 and it is obtained below:

 

The age class classes for at least 20 but no older than 50 are 20-30, 30-40 and 40-50.

customer is at least 20
п
customer is at least 20
Р
but no older than 50
but no older than 50
Total number of customers
64+55 9
97+64 5591+88+93
-0.4303
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customer is at least 20 п customer is at least 20 Р but no older than 50 but no older than 50 Total number of customers 64+55 9 97+64 5591+88+93 -0.4303

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Step 2

The probability that the customer is either older than 50 or younger than 20 is 0.5697 and it is calculated below:

 

The age class c...

older than 50&
n(older than 50)+n(younger than 20)-n|
either older than 50
younger than 20
Total number of customers
or younger than 20
88+93 97-0
97+64 55+91+88+93
-0.5697
help_outline

Image Transcriptionclose

older than 50& n(older than 50)+n(younger than 20)-n| either older than 50 younger than 20 Total number of customers or younger than 20 88+93 97-0 97+64 55+91+88+93 -0.5697

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