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Chapter 12: Q. AP4.22 (page 831)

A distribution that represents the number of cars X parked in a randomly selected residential driveway on any night is given by

Given that there is at least 1 car parked on a randomly selected residential driveway on a particular night, which of the following is closest to the probability that exactly 4cars are parked on that driveway?

a. 0.10

b. 0.15

c. 0.17

d.0.75

e.0.90

Short Answer

Expert verified

The answer is option (c)0.17.

Step by step solution

01

Given information

The given data is

02

Explanation

Let Xbe the total number of parked autos. As a result, we may deduce that

P(X=0)=0.10P(X=4)=0.15

Using the complement rule as a guide,

P(X鈮�1)=1-P(X=0)=1-0.10=0.90

The conditional probability is now computed as follows:

=P(X=4andX鈮�1)P(X鈮�1)=0.150.90=0.17

As a result, option is the proper choice (c).

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Most popular questions from this chapter

Exercises T12.4鈥揟12.8 refer to the following setting. An old saying in golf is 鈥淵ou drive for show and you putt for dough.鈥� The point is that good putting is more important than long driving for shooting low scores and hence winning money. To see if this is the case, data from a random sample of 69 of the nearly 1000 players on the PGA Tour鈥檚 world money list are examined. The average number of putts per hole (fewer is better) and the player鈥檚 total winnings for the previous season are recorded and a least-squares regression line was fitted to the data. Assume the conditions for
inference about the slope are met. Here is computer output from the regression analysis:

T12.6 The P -value for the test in Exercise T12.5 is 0.0087. Which of the following is a correct interpretation of this result?
a. The probability there is no linear relationship between average number of putts per hole and total winnings for these 69 players is 0.0087.
b. The probability there is no linear relationship between average number of putts per hole and total winnings for all players on the PGA Tour鈥檚 world money list is 0.0087.
c. If there is no linear relationship between average number of putts per hole and total winnings for the players in the sample, the probability of getting a random sample of 69 players that yields a least-squares regression line with a slope of 鈭�4,139,198 or less is 0.0087.
d. If there is no linear relationship between average number of putts per hole and total winnings for the players on the PGA Tour鈥檚 world money list, the probability of getting a random sample of 69 players that yields a least-squares regression line with a slope of 鈭�4,139,198 or less is 0.0087.
e. The probability of making a Type I error is 0.0087.

If P(A)=0.2and P(B)=0.52 and events A and B are independent, what is P(A or B)?

a. 0.1248

b. 0.28

c. 0.6352

d. 0.76

e. The answer cannot be determined from the given information.

Killing bacteria Expose marine bacteria to X-rays for time periods from 1to 15minutes. Here is a scatterplot showing the number of surviving bacteria (in hundreds) on a culture plate after each exposure time:


a. Below is a scatterplot of the natural logarithm of the number of surviving bacteria versus time. Based on this graph, explain why it would be reasonable to use an exponential model to describe the relationship between the count of bacteria and the time.


b). Here is the output from a linear regression analysis of the transformed data. Give the equation of the least-squares regression line. Be sure to defne any variables you use.

c. Use your model to predict the number of surviving bacteria after 17minutes.

AP4.33 Here are boxplots of SAT Critical Reading and Math scores for a randomly selected group of female juniors at a highly competitive suburban school:

Which of the following cannot be justified by the plots?
a. The maximum Critical Reading score is greater than the maximum Math score.
b. Critical Reading scores are skewed to the right, whereas Math scores are somewhat skewed to the left.
c. The median Critical Reading score and the median Math score for females are about the same.
d. There appear to be no outliers in the distributions of SAT Critical Reading score.
e. The mean Critical Reading score and the mean Math score for females are about the same.

A survey firm wants to ask a random sample of adults in Ohio if they support an increase in the state sales tax from 5.75%to 6%, with the additional revenue going to education. Let p^denote the proportion in the sample who say that they support the increase. Suppose that 40%of all adults in Ohio support the increase. If the survey firm wants the standard deviation of the sampling distribution of p^to equal 0.01,how large a sample size is needed?

a.1500

b. 2400

c.2401

d.2500

e.9220
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