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Problem 1

A pair of dice is rolled, and the number that appears uppermost on each die is observed.refer to this experiment and find the probability of the given event. The sum of the numbers is an even number.

Expert verified

The probability of the sum of the numbers being an even number when rolling a pair of dice is \(\frac{1}{2}\).

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Chapter 7

In a survey conducted in 2007 of 1004 adults 18 yr and older, the following question was asked: How are American companies doing on protecting the environment compared with companies in other countries? The results are summarized below: $$\begin{array}{lcccc} \hline \text { Answer } & \text { Behind } & \text { Equal } & \text { Ahead } & \text { Don't know } \\ \hline \text { Respondents } & 382 & 281 & 251 & 90 \\ \hline \end{array}$$ If an adult in the survey is selected at random, what is the probability that he or she said that American companies are equal or ahead on protecting the environment compared with companies in other countries?

Chapter 7

Quaurr CoNrroL. An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelectronic firms: \(\mathrm{A}, \mathrm{B}\), and C. The quality-control department of the company has determined that \(1 \%\) of the microprocessors produced by firm \(A\) are defective, \(2 \%\) of those produced by firm \(B\) are defective, and \(1.5 \%\) of those produced by firm \(\mathrm{C}\) are defective. Firms \(\mathrm{A}, \mathrm{B}\), and \(\mathrm{C}\) supply \(45 \%, 25 \%\), and \(30 \%\), respectively, of the microprocessors used by the company. What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?

Chapter 7

A nationwide survey conducted by the National Cancer Society revealed the following information. Of 10,000 people surveyed, 3200 were "heavy coffee drinkers" and 160 had cancer of the pancreas. Of those who had cancer of the pancreas, 132 were heavy coffee drinkers. Using the data in this survey, determine whether the events "being a heavy coffee drinker" and "having cancer of the pancreas" are independent events.

Chapter 7

Refer to the following experiment: Urn A contains four white and six black balls. Urn B contains three white and five black balls. A ball is drawn from urn A and then transferred to urn B. A ball is then drawn from urn B. What is the probability that the transferred ball was white given that the second ball drawn was white?

Chapter 7

The probabilitics that the three patients who are scheduled to receive kidney transplants at General Hospital will suffer rejection are $\frac{1}{2}, \frac{1}{3}\( and \)\frac{1}{10}$. Assuming that the cvents (kidney rejection) are indcpendent, find the probability that a. At least one paticnt will suffer rejection. b. Exactly two patients will suffer rejection.

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