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Chapter 5: Q. 12 (page 346)

Find the probability that xfalls in the shaded area.

Short Answer

Expert verified

The probability that xfalls in the shaded area is0.22

Step by step solution

01

Given Information 

Given in the question that a shaded graph,

We need to find the probability thatxfalls in the shaded area.

02

Solution 

According on the information provided, the following value is indicated:

f(x)=19,鈥呪赌呪赌呪赌�0鈮�x鈮�90,鈥呪赌呪赌呪赌�otherwise

Let's consider the graph first, the shaded region is 6鈮�x鈮�8.

Therefore, the shaded region will be,

P(6鈮�x鈮�8)=鈭�68鈥�19dx

=19[x]68

=19[8鈭�6]

localid="1650465993463" =29

=0.22

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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

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.

What is the probability that a phone will fail within two years of the date of purchase?

a.0.8647

b. 0.4866

c. 0.2212

d. 0.9997

Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years. Find the average age of the cars in the lot.

Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.

a. Graph the probability distribution

b. Identify the following values:

i. Lowest value forx炉=

ii. Highest value for localid="1648215651207" x炉=

iii. Height of the rectangle:

iv. Label for x-axis (words):

v. Label for y-axis (words):
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