The mean per capita consumption of milk per year is 105105 liters with a standard deviation of 2626 liters. If a sample of 220220 people is randomly selected, what is the probability that the sample mean would be less than 107.81107.81 liters? Round your answer to four decimal places.

0.9452 = 94.52% probability that the sample mean would be less than 107.81 liters.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation

In this problem, we have that:

Probability that the sample mean would be less than 107.81 liters?

pvalue of Z when X = 107.81. So

By the central limit theorem

has a pvalue of 0.9452

0.9452 = 94.52% probability that the sample mean would be less than 107.81 liters.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic