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Chapter 4: Q.24 (page 284)

Define P(x),or the probability ofx.

Short Answer

Expert verified

The probability that a Physics major will undertake post-graduate study forxyears is defined asP(x).

Step by step solution

01

Given Information

A physics teacher likes to know what percentage of physics students will undertake post-graduate study in the coming years. He is in knowledge of the following probability distribution:

02

Explanation

P(x)is defined as the probability that Physics major does post-graduate study for xnumber of years. By looking at the table we can say that probability that Physics major student will do post graduate for1year is 0.352years is 0.20and so on.

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Most popular questions from this chapter

A trainer is teaching a dolphin to do tricks. The probability that the dolphin successfully performs the trick is 35%, and the probability that the dolphin does not successfully perform the trick is 65%. Out of 20 attempts, you want to find the probability that the dolphin succeeds 12 times. State the probability question mathematically.

Ellen has music practice three days a week. She practices for all of the three days 85% of the time, two days 8% of the time, one day 4% of the time, and no days 3% of the time. One week is selected at random. What values does X take on?

Use the following information to answer the next six exercises: On average, a clothing store gets120 customers per day.

What is the probability that the store will have fewer than 12customers in the first two hours?

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.

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Approximately 8%of students at a local high school participate in after-school sports all four years of high school. A group of 60seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of

high school.

a. In words, define the random variable X.

b. List the values that Xmay take on.

c. Give the distribution ofX.X~_____(_____,_____)

d. How many seniors are expected to have participated in after-school sports all four years of high school?

e. Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all

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f. Based on numerical values, is it more likely that four or that five of the seniors participated in after-school sports

all four years of high school? Justify your answer numerically.
See all solutions

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