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Chapter 6: Q. 44 (page 386)

What is the area to the right of one?

Short Answer

Expert verified

The area to the right of one represented asP(x>1)or1-P(x<1)

Step by step solution

01

Given information

Given in the question that, a graph

We have to find what is the area to the right of one

02

Explanation 

Consider the given graph:

The shaded area in the given graph shows the area to the right of x

The area is represented by the probability localid="1648295524318" P(x>x)

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Most popular questions from this chapter

In China, four-year-olds average three hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.5hours and the amount of time spent alone is normally distributed. We randomly select one Chinese four-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.

a. In words, define the random variable X

b.X~

c. Find the probability that the child spends less than one hour per day unsupervised. Sketch the graph, and write the probability statement.

d. What percent of children spend over ten hours per day unsupervised?

e. Seventy percent of the children spend at least how long per day unsupervised?

What does standardizing a normal distribution do to the mean?

In China, four-year-olds average three hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.5 hours and the amount of time spent alone is normally distributed. We randomly select one Chinese four-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.

a. In words, define the random variable X.

b. X ~ _____(_____,_____)

c. Find the probability that the child spends less than one hour per day unsupervised. Sketch the graph, and write the probability statement.

d. What percent of the children spend over ten hours per day unsupervised?

e. Seventy percent of the children spend at least how long per day unsupervised?

How would you represent the area to the left of one in a probability statement?

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