Chapter 5: Q 5.43. (page 209)
Constract a venn diagram representing the event.
Part (a) .
Part (b).
Short Answer
Part (a) .

Part (b) .

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Chapter 5: Q 5.43. (page 209)
Constract a venn diagram representing the event.
Part (a) .
Part (b).
Part (a) .

Part (b) .

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World series. The World series in baseball is won by the first team to win four games ( ignoring the 1903 and 19919 - 1921 World series, when it was a best of nine). From the document World series history on the baseball Almanac website. as of November 2013, the length of the world series are as given in the following table.

Let X denote the number of games that it take to complete a world series, and let Y denote the number of games that it took to complete a randomly selected world series from among those considered in the table.
Part (a) Determine the mean and standard deviation of the random variable Y. Interpret your resuts.
Part (b) Provide an estimate for the mean and standard deviation of the random variable X. Explain your reasoning
A variable y of a finite population has the following frequency distribution:
| y | 1 | 2 | 3 | 4 |
| f | 2 | 2 | 10 | 6 |
Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained.
a. Determine the probability distribution of the random variable Y.
b. Use random-variable notation to describe the events that Y takes on the value 3, a value less than 3, and a value of at least 3.
c. Find P(Y = 3), P(Y <3), and P(Y ≥ 3). Interpret your results.
d. Construct a probability histogram for the random variable Y.
An experiment has 40 possible outcomes, all equally likely. An event can occur in 25 ways. The probability that the event is .
In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Occupations in Seoul. The population of Seoul was studied in an article by B. Lee and J. McDonald, "Determinants of Commuting Time and Distance for Seoul Residents: The Impact of Family Status on the Commuting of Women" (Urban Studies, Vol. 40, No. 7, pp. 1283-1302). The authors examined the different occupations for males and females in Seoul. The table at the top of the next page is a frequency distribution of occupation type for males taking part in a survey. (Note: M = manufacturing, N = nonmanufacturing.)
If one of these males is selected at random, find the probability that his occupation is
(a) service.
(b) administrative.
(c) manufacturing.
(d) not manufacturing.

Space Shuttles. The National Aeronautics and Space Administration (NASA) compiles data on space-shuttle launches and publishes them on its website. The following table displays a frequency distribution for the number of crew members on each shuttle mission from April 12, 1981 to July 8, 2011.
| Crew Size | 2 | 4 | 5 | 6 | 7 | 8 |
| Frequency | 4 | 3 | 36 | 28 | 63 | 1 |
Let X denote the crew size of a randomly selected shuttle mission between the aforementioned dates.
a. What are the possible values of the random variable X?
b. Use random-variable notation to represent the event that the shuttle mission obtained has a crew size of 7.
c. Find P(X = 4); interpret in terms of percentages.
d. Obtain the probability distribution of X.
e. Construct a probability histogram for X.
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