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Chapter 12: Q. 16 (page 802)

Two six-sided dice are rolled and the sum of the faces showing is recorded after each roll. Let X=the number of rolls required until a sum greater than 7is obtained. If 100trials are conducted, which of the following is most likely to be part of the probability distribution of X?

Short Answer

Expert verified

Option (a) is most likely to be part of the probability distribution ofX.

Step by step solution

01

Given information

We have been given that two six-sided dice are rolled. We are asked to record the sum of the faces after each roll. It is also given that let X=the number of rolls required until a sum greater than 7is obtained.

We need to find the option which is most likely to be the probability distribution of Xif 100trials are conducted.

02

Explanation

The option (b) is incorrect because we cannot get a sum greater than 7by having 0rolls.

We have observed that it needs only 1roll to get a sum greater than 7in majority of the cases because the probability of doing this is very high and the probability of not doing this is more improbable on the first try.

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Most popular questions from this chapter

Following the debut of the new SAT Writing test in March 2005, Dr. Les Perelman from the Massachusetts Institute of Technology collected data from a set of sample essays provided by the College Board. A least-squares regression analysis was performed on these data. The two graphs below display the results of that analysis. Explain why the conditions for performing inference are not met in this setting.

Which of the following statements about the t distribution with degrees of freedom df is (are) true?

I. It is symmetric.

II. It has more variability than the t distribution with df+1degrees of freedom.

III. As df increases, the t distribution approaches the standard Normal distribution.

(a) I only (c) III only (e) I, II, and III

(b) II only (d) I and II

Park rangers are interested in estimating the weight

of the bears that inhabit their state. The rangers have data

on weight (in pounds) and neck girth (distance around

the neck in inches) for 10 randomly selected bears. Some

regression output for these data is shown below.

A bear was recently captured whose neck girth was 35inchesand whose weight was 466.35pounds. If this bear were added to the data set given above, what would be the effect on the value ofr2?

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(b) It would increase the value of r2because any point

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regression line.

(c) It would increase the value of r2because the added

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(d) It would have no effect on the value ofr2 because the

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SAT Math scores In Chapter 3, we examined data on the percent of high school graduates in each state who took the SAT and the state's mean SAT Math score in a recent year. The figure below shows a residual plot for the least-squares regression line based on these data. Are the conditions for performing inference about the slope 尾of the population regression line met? Justify your answer.

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