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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

The equation of the least-squares regression line for predicting selling price from appraised value is

(a)price^=79.49+0.1126(appraised value)

(b)price^=0.1126+1.0466(appraised value)

(c)price^=127.27+1.0466(appraised value)

(d)pnice^=1.0466+127.27(appraised value)

(e)price^=1.0466+69.7299(appraised value).

In Chapter 3, we examined data on the body weights and backpack weights of a group of eight randomly selected ninth-grade students at the Webb Schools. Some Minitab output from least-squares regression analysis for these data is shown.

2. With such a small sample size, it is difficult to check several of the conditions for regression inference. Assume that the conditions are met. Construct and interpret a 95%confidence interval for the slope of the population regression line.

Ideal proportions Refer to Exercise 10.

(a) What height would you predict for a student with an arm span of 76 inches? Show your work.

(b) About how far off do you expect the prediction in part (a) to be from the student's actual height? Justify your answer.

The table below provides data on the political affiliation and opinion about the death penalty of 850randomly selected voters from a congressional district.

Which of the following does not support the conclusion that being a Republican and favoring the death penalty are not independent?

(a) 299494≠98356 (d) 299397≠77248

(b) 299494≠397850 (e) 397494850≠299

(c)494850≠299397

The previous Check Your Understanding (page 750) described some results from a study of body weights and backpack weights. Here, again, is the Minitab output from the least-squares regression analysis for these data.

2. Would a 99 % confidence interval for the slope β of the population regression line include 0? Justify your answer. (You don't need to do any calculations to answer this question.)
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