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Chapter 12: Q. AP4.16 (page 829)

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 to obtain a sum greater than 7. If 100trials are conducted, which of the following is most likely to be the result of the simulation?

a.

b.

c.

d.

e.

Short Answer

Expert verified

The correct answer is option (a).

Step by step solution

01

Given information

X=the number of rolls required to obtain a sum greater than 7.

100 trials are conducted

02

Explanation

Two six-sided dice are tossed, with the sum of the faces shown being recorded after each roll.

Then, any choice other than (a) is invalid, because a sum higher than 7cannot be rolled with 0rolls.

Because the probability of getting a total larger than7 is extremely high, and not doing so on the first try gets increasingly implausible, the majority of trials only require one roll. As a result, option (a) is the proper choice.

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Most popular questions from this chapter

Could mud wrestling be the cause of a rash contracted by University of Washington students? Two physicians at the university鈥檚 student health center wondered about this when one male and six female students complained of rashes after participating in a mud-wrestling event. Questionnaires were sent to a random sample of students who participated in the event. The results, by gender, are summarized in the following table.

Here is some computer output for the preceding table. The output includes the observed counts, the expected counts, and the chi-square statistic.

From the chi-square test performed in this study, we may conclude that

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c. there is absolutely no evidence of any relationship between the gender of an individual participating in the event and the subsequent development of a rash.

d. development of a rash is a real possibility if you participate in mud wrestling, especially if you do so regularly.

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c. Use your model from part (b) to predict the abundance of black bears, which have a body mass of 92.5 kg.

d. Here is a residual plot for the linear regression in part (b). Do you expect your prediction in part (c) to be too large, too small, or about right? Justify your answer.

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