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Chapter 5: Q.5.26 (page 348)

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?

Short Answer

Expert verified

The value of the a is zeroand it is the lowest value of thex.

Step by step solution

01

Given information

A distribution is given asX~U(0,12)

02

Solution

For any random variable Xwhich follows uniform distribution with parameter (0,12), the value of a will be zero and it represents the lowest value of x.

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Most popular questions from this chapter

Use the following information to answer the next ten questions. The data that follow are the square footage (in 1,000feet squared) of 28homes

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

Use the following information to answer the next seven exercises. A distribution is given as X~Exp(0.75). Draw the distribution.

Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks).

a. X ~ _________

b. Graph the probability distribution.

c. f(x) = _________

d. 矛 = _________

e. 贸 = _________

f. Find the probability that a person is born at the exact moment week 19 starts. That is, find P(x = 19) = _________

g. P(2 < x < 31) = _________

h. Find the probability that a person is born after week 40.

i. P(12 < x|x < 28) = _________

j. Find the 70th percentile.

k. Find the minimum for the upper quarter

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).

What is P(x=1.5)?

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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