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:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values