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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

Does how long young children remain at the lunch table help predict how much they eat? Here are data on a random sample of 20toddlers observed over several months. 鈥淭ime鈥� is the average number of minutes a child spent at the table when lunch was served. 鈥淐alories鈥� is the average number of calories the child consumed during lunch, calculated from careful observation of what the child ate each day.

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Minitab output from a linear regression on these data is shown below.

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role="math" localid="1650519113387" c)Pz<0.3-0.4(0.4)(0.6)60

role="math" localid="1650519757907" d)Pz<0.3-0.4(0.4)(0.6)60

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