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Chapter 5: Q.5.30 (page 348)

Use the following information to answer the next eight exercises. A distribution is given as X~U(0,12).

What is the theoretical standard deviation?

Short Answer

Expert verified

The theoretical standard deviation is3.46.

Step by step solution

01

Given information

A distribution is given as X~U(0,12)

02

Solution

For any random variable Xwhich follows uniform distribution with parameter (0,12), the theoretical standard deviation is shown below:

蟽=(b鈭�a)212

=(12鈭�0)212

=14412

=12

=3.46

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Most popular questions from this chapter

Use the following information to answer the next three exercises.

The Sky Train from the terminal to the rental鈥揷ar and long鈥搕erm parking center is supposed to arrive every eight minutes. The waiting times for the train are known to follow a uniform distribution.

80. Find the 30thpercentile for the waiting times (in minutes).

a. two

b.2.4

c.2.75

d. three

A continuous probability function is restricted to the portion between x = 0 and 7. What is P(x = 10)?

Use the following information to answer the next eight exercises. A distribution is given as X~U(0,12).

What isa? What does it represent?

The total duration of baseball games in the major league in the 2011 season is uniformly distributed between 447 hours and 521 hours inclusive.

  1. Find aand band describe what they represent.
  2. Write the distribution.
  3. Find the mean and the standard deviation.
  4. What is the probability that the duration of games for a team for the 2011 season is between 480 and 500 hours?
  5. What is the 65th percentile for the duration of games for a team for the 2011 season?

The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as X~U(1.5,4.5).

Find the probability that a randomly selected home has more than 3,000square feet given that you already know the house has more than 2,000square feet.

See all solutions

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