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Chapter 5: Q. 13 (page 347)

Find the probability that xfalls in the shaded area.

Short Answer

Expert verified

The probability thatxfalls in the shaded area is0.625

Step by step solution

01

Given Information 

Given in the question is a graph,

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

02

Calculation

The following value is indicated based on the information provided in the question:

f(x)=18,    0≤x≤8.50,    otherwise

Let's consider the graph first,

The shaded region is 0≤x≤5

Therefore, the probability of the shaded region will be,

P(0≤x≤5)=∫05 18dx

=18[x]05

=18[5−0]

=58

=0.625

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Most popular questions from this chapter

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)

What is the mean?

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 distribution for Xis ______.

Consider the following experiment. You are one of 100 people enlisted to take part in a study to determine the percent of nurses in America with an R.N. (registered nurse) degree. You ask nurses if they have an R.N. degree. The nurses answer “yes” or “no.” You then calculate the percentage of nurses with an R.N. degree. You give that percentage to your supervisor. a. What part of the experiment will yield discrete data? b. What part of the experiment will yield continuous data

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. μ = _________

e. σ = _________

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

g. P(x > 5.67)

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

i. Find the 90th percentile

f(x)for a continuous probability function is15 , and the function is restricted to 0≤x≤5. What is P(x<0)?
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