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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

The cost of all maintenance for a car during its first year is approximately exponentially distributed with a mean of \(150.

a. Define the random variable.X=_________________________________.

b.X~=________

c.渭=________

d.蟽=________

e. Draw a graph of the probability distribution. Label the axes.

f. Find the probability that a car required over \)300for maintenance during its first year.

For a continuous probability distribution, 0鈮�x鈮�15. What is P(x>15)?

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

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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:

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v. Label for y-axis (words):

The time (in years) after reaching age 60that it takes an individual to retire is approximately exponentially distributed with a mean of about five years. Suppose we randomly pick one retired individual. We are interested in the time after age

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