Chapter 5

A survey of 100 randomly selected high school students determined that 23 play organized sports. (a) What is the probability that a randomly selected high school student plays organized sports? (b) Interpret this probability Choose the correct answer below: A. If 1,000 high school students were sampled, it would be expected that about ____ of them play organized sports. B. If 1,000 high school students were sampled, it would be expected that exactly ____ of them play organized sports.

(a) 0.23 (b) A - 230

In a certain game of chance, a wheel consists of 58 slots numbered 00, 0, 1, 2, ...., 56. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. Complete parts (a) through (c) below. (a) determine the sample space. (b) determine the probability that the metal ball falls into the slot marked 4. Interpret this probability. A. if the wheel is spun 1,000 times, it is expected that about ___ of those times result in the ball landing in slot 4. B. if the wheel is spun 1,000 times, it is expected that exactly ____ of those times result in the ball not landing in slot 4. (c) determine the probability that the metal ball lands in an odd slot.

(a) {00,0,1,2,...,56} (b) 0.0172; A - 17 (c) 0.4828

Which of the following numbers could be the probability of an event? 0.21, 1.45, 0.09, 0, 1, -0.5

0.21, 0.09, 0, 1

Suppose you toss a coin 100 times and get 68 heads and 32 tails. Based on these results, what is the probability that the next flip results in a tail? The probability that the next flip results in a tail is approximately ____.

0.32

According to a certain country's department of education, 39.5% of 3-year-olds are enrolled in day care. What is the probability that a randomly selected 3-year-old is enrolled in day care. The probability that a randomly selected 3-year-old is enrolled in day care is ____.

0.395

Let the sample space be S = {1,2,3,4,5,6,7,8,9,10}. Suppose the outcomes are equally likely. Compute the probability of the event E = {1,4,7,9} P(E) = ____

0.4. (4/10=0.4)

If E and F are disjoint events, then P(E or F) = A. P(E) + P(F) B. P(E and F) C. P(E) D. P(E) + P(F) - P(E and F) E. P(F)

A. P(E) + P(F)

What do we call an outcome with the probability of 0? A. impossible event B. certain event C. not so unusual event D. unusual event

A. impossible event

If E and F are not disjoint events, then P(E or F) = A. P(E and F) - P(E) - P(F) B. P(E) + P(F) - P(E and F) C. P(E) + P(F) D. P(E) + P(F) + P(E and F)

B. P(E) + P(F) - P(E and F)

A(n) ____ is any collection of outcomes from a probability experiment. A. Experiment B. Event C. Sample Space D. Outcome

B. event

T/F: In a probability model, the sum of the probabilities of all outcomes must equal 1.

True