In 2008, the per capita consumption of soft drinks in country a was reported to be 18.11 gallons. assume that the per capita consumption of soft drinks in country a is approximately normally distributed, with a mean of 18.11 gallons and a standard deviation of 4 gallons. complete parts (a) through (d) below. a. what is the probability that someone in country a consumed more than 13 gallons of soft drinks in 2008? the probability is nothing. (round to four decimal places as needed.)

There is a 89.97% probability that someone in Country A consumed more than 13 gallons of soft drinks in 2008.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

The per capita consumption of soft drinks in Country A is approximately normally distributed, with a mean of 18.11 gallons and a standard deviation of 4 gallons., so .

a. What is the probability that someone in Country A consumed more than 13 gallons of soft drinks in 2008?

The first step is finding the z score of .

has a pvalue of 0.1003.

This means that there is a 1-0.1003 = 0.8997 = 89.97% probability that someone in Country A consumed more than 13 gallons of soft drinks in 2008.

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step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|