StatisticsName ______

Ch. 4ReviewDate _____

Directions: CompleteALL of the following problems.

Section I: Show necessary work – you may leave probability answers in fraction OR decimal form.

  1. In a poll, respondents were asked whether they had ever been in a car accident. 479 respondents indicated that they had been in a car accident and 169 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident?
  1. In a blood testing procedure, blood samples from 4 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests negative is 0.94, what is the probability that the mixute will test positive?
  1. A bin contains 79 light bulbs of which 10 are defective. If 4 light bulbs are randomly selected from the bin without replacement, find the probability that all the bulbs selected are good ones.
  1. Pollsters are concerned about declininglevels of cooperation among persons contacted in surveys. A pollster contacted 84 people in the age bracket and finds that 73 of them respond and 11 refuse to respond. When 275 people in the age bracket are contacted, 255 respond and 20 refuse to respond. Assumethat 1 of the 359 people is randomly selected. Find the probability of getting someone in the age bracket or someone who refuses to respond.
  1. From the U.S. Census Bureau data, we know that 60% of those who are eligible to vote actually do vote. If a pollster surveys 10 people who are eligible to vote, what is the probability that they all vote?
  1. There are 10 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?
  1. If the board of directors must select a president, vice president, treasurer, and a secretary, how many different slates of candidates are possible?
  1. Evaluate:

1) 2)3)

  1. A tourist in France wants to visit 10 different cities. How many different routes are possible? What is the probability that they choose the quickest route?
  1. When betting on odd in roulette, there are 38 equally likely outcomes, but only 1, 3, 5,…37 are winning outcomes.

(A)Find the probability of winning when betting on odd.

(B)Find the actual odds against winning with a bet on odd.

(C)Casino pay winning bets according to odds described as . What is your net profit if you bet $5 on even and you win?

Hint: Actual odds against an event occurring are.

Payoff odds against event

  1. The table below describes the smoking habits of a group of asthma sufferers. If someone is randomly selected what is the probability thatthe person chosen is a woman given that the person is a light smoker?

/ 327 / 82 / 72 / 481
/ 366 / 70 / 64 / 500
/ 693 / 152 / 136 / 981

Section II: Multiple Choice: Choose the one alternative that best completes the statement or

answers the question.

1. On a multiple choice test, each question has 4 possible answers. If you make a random guess

on the first question, what is the probability that you are correct?

(A) (B) (C) (D)

2. Among the contestants in a competition are 37 women and 20 men. If 5 winners are

randomly selected, what is the probability that they are all men?

(A) (B) (C) (D)

3. When a quarter is tossed four times, 16 outcomes are possible.

HHHHHHHTHHTHHHTT

HTHHHTHTHTTHHTTT

THHHTHHTTHTHTHTT

TTHHTTHTTTTHTTTT

Here, for example, HTTH represents the outcome that the first toss is head, the next two tosses are tails, and the fourth toss is heads. The event A is defined as follows.

event the first two tosses are heads. Describe the complement of the given event .

(A) The event the first two tosses are not both heads

(B) The event that exactly one of the first two tosses is tails

(C) The event the first two tosses are tails

(D) The event the last two tosses are heads

4. If you are told that a mystery person’s name begins with a consonant, would it be “unusual”

to guess the first letter of that person’s name? Consider an event to be “unusual” if its probability is less than or equal to 0.05

(A) Yes(B) No