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Chapter 3: Q.43 (page 217)
Q and R are independent events. and . Find P(R).
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At a college, of courses have final exams and of courses require research papers. Suppose that of courses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course requires a research paper.
a. Find the probability that a course has a final exam or a research project.
b. Find the probability that a course has NEITHER of these two requirements.
A jar of 150 jelly beans contains 22 red jelly beans, 38
yellow, 20 green, 28 purple, 26 blue, and the rest are orange.
Let B = the event of getting a blue jelly bean
Let G = the event of getting a green jelly bean.
Let O = the event of getting an orange jelly bean.
Let P = the event of getting a purple jelly bean.
Let R = the event of getting a red jelly bean.
Let Y = the event of getting a yellow jelly bean.
Find P(P).
In a recent issue of the IEEE Spectrum, engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted five days. Four lasted six days. One lasted seven days. One lasted eight days. One lasted nine days. Let X = the length (in days) of an engineering conference.
a. Organize the data in a chart.
b. Find the median, the first quartile, and the third quartile.
c. Find the percentile.
d. Find the percentile.
e. Construct a box plot of the data.
f. The middle of the conferences last from _______ days to _______ days.
g. Calculate the sample mean of days of engineering conferences.
h. Calculate the sample standard deviation of days of engineering conferences.
i. Find the mode.
j. If you were planning an engineering conference, which would you choose as the length of the conference: mean; median; or mode? Explain why you made that choice.
k. Give two reasons why you think that three to five days seem to be popular lengths of engineering conferences.
Draw two cards from a standard 52-card deck with replacement. Find the probability of getting at least one black card.
In words, explain what it means to pick one person from the study who is 鈥淛apanese American AND smokes cigarettes per day.鈥� Also, find the probability.
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