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Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman
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Lemonade ConsumptionThe average number of gallons of

Chapter 6, Problem 22CQ

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QUESTION:

Problem 22CQ

Lemonade ConsumptionThe average number of gallons of lemonade consumed by the football team during a game is 20, with a standard deviation of 3 gallons. Assume the variable is normally distributed. When a game is played, find the probability of using

a. Between 20 and 25 gallons

b. Less than 19 gallons

c. More than 21 gallons

d. Between 26 and 28 gallons

Questions & Answers

QUESTION:

Problem 22CQ

Lemonade ConsumptionThe average number of gallons of lemonade consumed by the football team during a game is 20, with a standard deviation of 3 gallons. Assume the variable is normally distributed. When a game is played, find the probability of using

a. Between 20 and 25 gallons

b. Less than 19 gallons

c. More than 21 gallons

d. Between 26 and 28 gallons

ANSWER:

Solution:

Step 1 of 4:

 Given the problem we have

    The mean

    The standard deviation

a). We have to find the probability of using between 20 and 25 gallons.

          Thus,

               

                                     

                                     

                                     

                                     

                                            = 0.9525 - 0.5

                                            = 0.4525

    Hence, the probability of using between 20 and 25 gallons is 0.4525.

 

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