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

a)

b)

c)

d)

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

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

step-by-step explanation:

b and c