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Chapter 7: Q.33 (page 429)

What is P(Σx < 1,186)?

Short Answer

Expert verified

Thevalue probability thatP∑X<1186is approximately15.86%

Step by step solution

01

Given Information

According to the provided details, the sample size of customers is 400 with a mean 3 and the standard deviation is0.7.

02

Explanation

To calculate the probability that P(ΣX<1186), use the Tl-83 calculator. For this, click on 2nd, then DISTR, and then scroll down to the normal CDF option and enter the provided details. After this, click on ENTER button on the calculator to have the desired result. The screenshot is given below:

Therefore, the value probability thatP∑X<1186is approximately15.86%

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Most popular questions from this chapter

The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36and a standard deviation of about ten. Suppose that 16individuals are randomly chosen. Let role="math" localid="1648361500255" X¯=average percent of fat calories.

a. X¯~_____ (______, ______)

b. For the group of 16, find the probability that the average percent of fat calories consumed is more than five. Graph the situation and shade in the area to be determined.

c. Find the first quartile for the average percent of fat calories.

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