Chapter 5: Q 5.104 (page 223)
Provide an example (other than one discussed in the text) of a random variable that does not arise from a quantitative variable of a finite population in the context of randomness.
The real number between 0 and 1 is referred to as a random variable.
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Die and coin. Consider the following random experiment : First , roll a die and observe the number of dots facing up: then toss a coin the number of times that the die shows and observe the total number of heads. Thus , if the die shows three dots facing up and the coin (which is then tossed tree times) comes up heads exactly twice, then the outcome of the experiment can be represent as (3,2).
Part (a) Determine a sample space for this experiment.
Part (b) Determine the events that the total number of heads is even.
What does it mean for two or more events to be mutually exclusive?
Poker Chips. A bowl contains 12 poker chips-3 red, 4 white, and 5 blue. If one of these poker chips is selected at random from the bowl, what is the probability that its color is
(a) red? (b). red or white? (c). not white?
E is an event and Find.
Explain what is wrong with the following argument: When two balanced dice are rolled, the sum of the dice can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12, giving 11 possibilities. Therefore the probability is that the sum is 12.
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