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Chapter 5: Q. 54 (page 329)
Union and intersection Suppose C and D are two events such that P(C), P(D), and
P(C 鈭� D). Find P(C 鈭� D).
The P is.
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Teachers and college degrees Select an adult at random. Define events D: person has earned a college degree, and T: person鈥檚 career is teaching. Rank the following probabilities from smallest to largest. Justify your answer.
Keep on tossing The figure shows the results of two different sets ofcoin tosses.
Explain what this graph tells you about chance behavior in the short run and the long run.
A basketball player claims to make of her shots from the field. We want to simulate the player taking sets of shots, assuming that her claim is true.
To simulate the number of makes in shot attempts, you would perform the simulation as follows:
a. Use random one-digit numbers, where are a make and are a miss.
b. Use random two-digit numbers, where are a make and are a miss.
c. Use random two-digit numbers, where are a make and are a miss.
d. Use random one-digit numbers, where is a make and are a miss.
e. Use random two-digit numbers, where are a make and are a miss.
Bull鈥檚-eye! In a certain archery competition, each player continues to shoot until he or she misses the center of the target twice. Quinn is one of the archers in this competition. Based on past experience, she has a probability of hitting the center of the target on each shot. We want to design a simulation to estimate the probability that Quinn stays in the competition for at least shots. Describe how you would use each of the following chance devices to perform one trial of the simulation.
a. Slips of paper
b. Random digits table
c. Random number generator
Gender and political party In January, of U.S. senators were Republicans and
the rest were Democrats or Independents. Twenty-one percent of the senators were
females, and of the senators were male Republicans. Suppose we select one of these
senators at random. Define events R: is a Republican and M: is male.
a. Find P(R 鈭� M). Interpret this value in context.
b. Consider the event that the randomly selected senator is a female Democrat or
Independent. Write this event in symbolic form and find its probability.
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