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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

A random number generator picks a number from one to nine in a uniform manner.

a. X ~ _________

b. Graph the probability distribution.

c. f(x) = _________

d. 渭 = _________

e. 蟽 = _________

f. P(3.5 < x < 7.25) = _________

g. P(x > 5.67)

h. P(x > 5|x > 3) = _________

i. Find the 90th percentile

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.

The interval of values for x is ______.

55.

A customer service representative must spend different

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modelled by the following distribution:X~Exp(0.2)

Find the 70th percentile.

Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years. If a bulb has already lasted 12 years, find the probability that it will last a total of over 19 years.

Use the following information to answer the next ten exercises. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: X~Exp(0.2)

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