Download Final review ch 4 SHORT ANSWER. Write the

Final review ch 4
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Find the indicated probability.
1) A class consists of 46 women and 37 men. If a student is randomly selected, what is the
probability that the student is a woman?
2) The table below shows the soft drinks preferences of people in three age groups.
cola root beer lemon-lime
under 21 years of age 40
25
20
between 21 and 40 35
20
30
over 40 years of age 20
30
35
1)
2)
If one of the 255 subjects is randomly selected, find the probability that the person is over 40
years of age given that they drink root beer.
3) The probability that Luis will pass his statistics test is 0.56. Find the probability that he will
fail his statistics test.
3)
4) A bin contains 62 light bulbs of which 10 are defective. If 6 light bulbs are randomly
selected from the bin with replacement, find the probability that all the bulbs selected are
good ones.
4)
Solve the problem.
5) How many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and
if the sequence may not end in 000? Repetition of digits is allowed.
5)
6) A committee of 17 members is voting on a proposal. Each member casts a yea or nay vote.
On a random voting basis, what is the probability that the final vote count is unanimous?
6)
7) A gumball machine had 7 red and 5 yellow gumballs left. You put in pennies until you
empty the machine. How many different sequences of red and yellow gumballs can come
out of the machine?
7)
From the information provided, create the sample space of possible outcomes.
8) Friskie is having her fifth litter. The prior litters have either been three normal pups or two
normal pups and a runt. Assume the probability of either outcome is 50%.
8)
Are the events mutually exclusive, yes or no?
9) Draw one ball colored red from a bag.
Draw one ball colored blue from the same bag.
9)
Solve the problem.
10) If you flip a coin three times, the possible outcomes are: HHH HHT HTH HTT THH THT
TTH TTT. What is the probability of getting at least two tails?
10)
11) In a certain lottery, five different numbers between 1 and 20 inclusive are drawn. These are
the winning numbers. To win the lottery, a person must select the correct 5 numbers in the
same order in which they were drawn. What is the probability of winning?
1
11)
Answer the question.
12) In a certain town, 20% of people commute to work by bicycle. If a person is selected
randomly from the town, what are the odds against selecting someone who commutes by
bicycle?
Solve the problem.
13) A firm uses trend projection and seasonal factors to simulate sales for a given time period.
It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales
rise a lot. The simulator generates the following output.
12)
13)
0112201120 212122120 12220310212 1
Estimate the probability that sales will rise moderately.
14) A state lottery involves the random selection of six different numbers between 1 and 26. If
you select one six number combination, what is the probability that it will be the winning
combination?
Find the indicated probability.
15) The table below describes the smoking habits of a group of asthma sufferers.
Light Heavy
Nonsmoker smoker smoker Total
Men
329
39
45
413
Women
323
31
34
388
Total
652
70
79
801
14)
15)
If two different people are randomly selected from the 801 subjects, find the probability
that they are both women.
Is Event B dependent or independent of Event A?
16) A: A bird lands on your head.
B: The bird lays an egg.
Find the indicated probability.
17) A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 10
wood and 19 graphite are defective and one racket is randomly selected from the sample,
find the probability that the racket is wood or defective.
17)
18) A study conducted at a certain college shows that 58% of the school's graduates find a job
in their chosen field within a year after graduation. Find the probability that among 7
randomly selected graduates, at least one finds a job in his or her chosen field within a year
of graduating.
18)
19) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing
an ace or a 6?
19)
Use the relative frequency approach to estimate the probability of the event.
20) In a certain class of students, there are 12 white boys, 4 Hispanic girls, 9 white girls, 4 black
boys, 4 Hispanic boys and 3 black girls. If the teacher calls upon a student to answer a
question, what is the probability that the student will be Hispanic?
2
16)
20)