Chapter 5: Q. 5.69. (page 211)
Housing Units. Refer to 5.65. Among the events A, B, C, and D, identify the collection of events that are mutually exclusive.
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Let A and B be events of a sample space.
Part (a) Suppose that A and (not B) are mutually exclusive. Explain why B occurs when A occurs.
Part (b) Suppose that B occurs whenever A occurs Explain why A and (not B) are mutually exclusive.
Compute.
An experiment has 40 possible outcomes, all equally likely. An event can occur in 25 ways. The probability that the event is .
Interpret each of the following probability statements, using the frequentist interpretation of probability.
(a) The probability of being dealt a pocket pair in Texas hold'em is 0.059.
(b). If a balanced dime is tossed three times, the probability that it will come up heads all three times is 0.125.
In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Graduate Science Students. According to Survey of Graduate Science Engineering Students and Postdoctorates, published by the U.S. National Science Foundation, the distribution of graduate science students in doctorate-granting institutions is as follows.
Frequencies are in thousands. Note: Earth sciences include atmospheric and ocean sciences as well.
A graduate science student who is attending a doctorate-granting institution is selected at random. Determine the probability that the field of the student obtained is
(a) psychology.
(b) physical or social science.
(c) not computer science.
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