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corrineikerd
13.06.2020 •
Mathematics
Sports Drink Consumption The average number of gallons of sports drinks 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
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Ответ:
a)![P(0](/tpl/images/0685/1742/e4d5b.png)
b)![P(Z](/tpl/images/0685/1742/8598f.png)
c)![P(Z0.33) =1-P(Z](/tpl/images/0685/1742/3d12c.png)
d)![P(2](/tpl/images/0685/1742/c2508.png)
Step-by-step explanation:
Assuming the following questions:
a. Between 20 and 25 gallons
Let X the random variable that represent the sports drink consumption of a population, and for this case we know the distribution for X is given by:
Where
and ![\sigma=3](/tpl/images/0685/1742/264f5.png)
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
And if we find the z score for each limit we got:
And we can use the normal standard distirbution table and we got:
b. Less than 19 gallons
And using the normal table we got:
c. More than 21 gallons
And using the normal table and the complement rule we got:
d. Between 26 and 28 gallons
Ответ:
jeff bagels
Step-by-step explanation: