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Chapter 3: Q. 119 (page 231)
Given events G and H: P(G) = 0.43; P(H) = 0.26; P(H AND G) = 0.14
a. Find P(H OR G).
b. Find the probability of the complement of event (H AND G).
c. Find the probability of the complement of event (H OR G).
a.
b.role="math" localid="1650389369124"
c.
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Use the following information to answer the next ten exercises. Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, prefer life in prison without parole over the death penalty for a person convicted of first degree murder. of all Californians are Latino. In this problem, let: 鈥� C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.
Find P(L).
Yand Zare independent events.
a. Rewrite the basic Addition Rule using the information that Y and Z are independent events.
b. Use the rewritten rule to findP(Z) if and
In a box of assorted cookies, contain chocolate and contain nuts. Of those, contain both chocolate and nuts. Sean is allergic to both chocolate and nuts.
a. Find the probability that a cookie contains chocolate or nuts (he can't eat it).
b. Find the probability that a cookie does not contain chocolate or nuts (he can eat it).
Use the following information to answer the next four exercises. Table 3.15 shows a random sample of musicians and how they learned to play their instruments.
Find P(musician is a female OR is self taught).
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.
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