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Chapter 5: Q 5.49. (page 209)
What does it mean three events to be mutually exclusive.?
.If three occurrences have no common consequences, they are said to be mutually exclusive.
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What does the probability distribution of a discrete random variable tell you?
Two random variables, X and Y, have standard deviations 2.4 and 3.6, respectively. Which one is more likely to take a value close to its mean? Explain your answer.
Committee Selection. Refer to the image below for each of the following events, list the outcomes that constitute the event, and describe the event in words.
a. (not A)
b. (B&D)
c. (B or C)
A committee consists of five executives, three women and two men. Their names are Maria (M), John (J), Susan (S), Will (W), and Holly (H). The committee needs to select a chairperson and a secretary. It decides to make the selection randomly by drawing straws. The person getting the longest straw will be appointed chairperson, and the one getting the shortest straw will be appointed secretary. The possible outcomes can be represented in the following manner.
Which of the following numbers could not possibly be a probability? Justify your answer.
Draw a venn diagram portraying four mutually exclusive events.
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