Chapter 5: Q T5.5. (page 336)
What is the probability that a student has a GPA under ?
Short Answer
The correct option is (b) 0.255.
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Chapter 5: Q T5.5. (page 336)
What is the probability that a student has a GPA under ?
The correct option is (b) 0.255.
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Scrabble In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 files. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Chait chooses her 7 tiles and is surprised to discover that all of them are vowels. We can use a simulation to see if this result is likely to happen
by chance.
(a) State the question of interest using the language of probability.
(b) How would you use random digits to imitate one repetition of the process? What variable would you measure?
(c) Use the line of random digits below to perform one repetition. Copy these digits onto your paper. Mark directly on or above them to show how you
determined the outcomes of the change process. 00694 05977 19664 65441 20903 62371 22725 53340
(d) In 1000 repetitions of the simulation, there were 2 times when all 7 tiles were vowels. What conclusion would you draw?
Due to a hit, A very good professional baseball player gets a hit about of the time over an entire season. After the player failed to hit safely in six straight at-bats, a TV commentator said, 鈥淗e is due for a hit by the law of averages.鈥 Is that right? Why?
Get rich Refer to Exercise 63.
(a) Find P(鈥渁 good chance鈥 | female).
(b) Find P(鈥渁 good chance鈥).
(c) Use your answers to (a) and (b) to determine whether the events 鈥渁 good chance鈥 and 鈥渇emale鈥 are
independent. Explain your reasoning.
In government data, a household consists of all occupants of a dwelling unit. Choose an American household at random and count the number of
people it contains. Here is the assignment of probabilities for your outcome:
The probability of finding people in a household is the same as the probability of finding people. These probabilities are marked ??? in the table of the distribution. The probability that a household contains 3 people must be
(a) (b) (c) (d) (e) between and, and we can say no more. 
Sampling senators The two-way table describes the members of the U.S. Senate in a recent year. Suppose we select a senator at random. Consider events D: is a democrat, and F: is female.
(a) Find P(D | F). Explain what this value means.
(b) Find P(F | D). Explain what this value means.

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