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Chapter 5: Q 5.1. (page 200)
Roughly speaking, What is an experiment? an event?
An experiment is a procedure with a predetermined set of outcomes.
An experiment's event is a collection or set of its results.
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Dice. When one die is rolled, the following six outcome are possible;
List the outcome constituting
A = event the die come up even
B = event the die come up 4 or more
C event the die come up at most 2, and
D= event the die come up 3.
Dice. The random variable Y is the sum of the dice when two balanced dice are rolled. Its probability distribution is as follows
Part (a) Find and interpret the mean of the random variable.
Part (b) Obtain the standard deviation of the random variable by using one of the formulas given in definition 5.10
Part (c) Construct a probability histogram for the random variable, locate the mean: and show one, two, and three standard deviation intervals.
Love Stinks? J. Fetto, in the article "Love Stinks" (American Demographics, Vol. 25. No. 1. pp. 10-11), reports that Americans split with their significant other for many reasons-including indiscretion, infidelity, and simply "growing apart." According to the article, 35% of American adults have experienced a breakup at least once during the last 10 years. Of nine randomly selected American adults, find the probability that the number, X, who have experienced a breakup at least once during the last 10 years is
(a) exactly five; at most five; at least five.
(b) at least one; at most one.
(c) between six and eight, inclusive.
(d) Determine the probability distribution of the random variable X.
(e) Strictly speaking, why is the probability distribution that you obtained in part (d) only approximately correct? What is the exact distribution called?
ASU Enrollment Summary. According to the Arizona State University Enrollment Summary, a frequency distribution for the number of undergraduate students attending Arizona State University ( ASU ) in the Fall 2012 semester, by class level, is as shown in the following table. Here , 1 = freshman , 2 = sophomore , 3 = junior , and 4 = senior.
| Class level | 1 | 2 | 3 | 4 |
| No. of students | 9,652 | 11,115 | 17,302 | 21,114 |
Let X denote the class level of a randomly selected ASU undergraduate.
(a) What are the possible values of the random variable X?
(b) Use random-variable notation to represent the event that the student selected is a junior ( class - level 3 ).
(c) Determine P ( X = 3 ), and interpret your answer in terms of percentages.
(d) Determine the probability distribution of the random variable X.
(e) Construct a probability histogram for the random variable X.
In Exercises 9鈥�12, refer to the exercise identified. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favours heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favours heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).
Exercise 8 鈥淧ulse Rates鈥�
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