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Chapter 6: Q. 3 (page 385)

X~N(1,2)

蟽=

Short Answer

Expert verified

The value of蟽is 2

Step by step solution

01

Given Information

Given in the question that, X~N(1,2)

We have to find the value of蟽

02

Explanation 

Let's compare the random variable Xfrom the general random variable for normal distribution X~N(渭,蟽).

Here, the value of 渭is 1.

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Most popular questions from this chapter

Using the information from Example 6.12, answer the following:

  1. The middle 40%of mandarin oranges from this farm is between __ and __.
  2. Find the 16thpercentile and interpret it in a complete sentence

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.

a. If X= distance in feet for a fly ball, then X~ (------)

b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 220 feet? Sketch the graph. Scale the horizontal axis X. Shade the region corresponding to the probability. Find the probability.

c. Find the 80th percentile of the distribution of fly balls. Sketch the graph, and write the probability statement.

In a normal distribution, x = 3 and z = 0.67. This tells you that x = 3 is ____ standard deviations to the ____ (right or left) of the mean.

Use the following information to answer the next four exercises: X~N(54,8)

Find the probability thatx<30

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