Hey if you can give me some help thanks I got a final monday was given this practice test but slacked for the last 2 months.... I should be ashamed this stuff is so easy and I dont know it
4)
In a blood testing procedure, blood samples from 5 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 positive is 0.11, what is the probability that the mixture will test positive?
F) 0.11
G) 0.0121
H) 0.0000161
J) 0.442
K) 1.00
5)
There is a huge pile of buttons in which 30% are black, 15% are blue, 16% are orange, 22% are white, and the rest are clear. You close your eyes, choose a button at random, write down what color it is, and then put it back in the pile. What is the probability that the third button you choose is the first one that's blue?
A) 0.614
B) 0.135
C) 0.003
D) 0.108
E) 0.019
Solve the problem.
6)
A survey revealed that 34% of people are entertained by reading books, 47% are entertained by watching TV, and 19% are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV?
F) 0. 81
G) 0. 6
H) 0. 19
J) 1
K) 0. 62
7)
At a California college, 22% of students speak Spanish, 5% speak French, and 3% speak both languages. What is the probability that a student chosen at random from the college speaks Spanish but not French?
A) 0.2
B) 0.02
C) 0.17
D) 0.19
E) 0.24
Find the indicated probability.
8)
You draw a card at random from a standard deck of 52 cards. Find the probability that the card is a diamond given that it is a queen.
F) 0.25
G) 0.333
H) 0
J) 0.5
K) 0.077
10)
65% of students at one college drink coffee, and 12% of people who drink coffee suffer from insomnia. What is the probability that a randomly selected student drinks coffee and suffers from insomnia?
F) 0.77
G) 0.572
H) 0.692
J) 0.12
K) 0.078
11)
A sample of 4 different calculators is randomly selected from a group containing 50 that are defective and 25 that have no defects. What is the probability that all four of the calculators selected are defective?
A) 18.206
B) 0.063
C) 0.189
D) 0.811
E) 0.198
12)
A box contains 16 batteries of which 6 are still working. Anne starts picking batteries one at a time from the box and testing them. Find the probability that at least one of the first four works.
F) 0.115
G) 0.885
H) 0.008
J) 0.099
K) 0.847
13)
In one town in the Pacific Northwest, only 23% of days are sunny. A company's records indicate that on sunny days 2.1% of employees will call in sick.When it is not sunny, 1.4% of employees will call in sick. What percent of employees call in sick on a randomly selected day?
A) 1.561%
B) 0.483%
C) 1.75%
D) 2.1%
E) 1.078%
14)
A high school offers these statistics:
25% of incoming students come from single-parent homes.
75% of incoming students come from two parent homes.
42% of incoming students from single parent homes eventually go on to get a college education.
58% of incoming students from two parent homes eventually go on to get a college education.
What percent of incoming students eventually go on to get a college education?
F) 42%
G) 54%
H) 43.5%
J) 10.5%
K) 50%
Determine whether a probability model based on Bernoulli trials can be used to investigate the situation. If not, explain.
15)
You roll a die 4 times and need to get at least three 3's to win the game.
A) Yes
B) No. 3 is more than 10% of 4
C) No. The rolls are not in***endent of each other.
D) No. More than two outcomes are possible on each roll of the die.
E) No. The chance of a getting a 3 changes with each roll of the die.
16)
We record the blood types (O, A, B, or AB) found in a group of 300 people. Assume that the people are unrelated to each other.
F) Yes.
G) No.The chance of getting a particular blood group changes from one person to the next.
H) No. The chance of getting a particular blood group ***ends on the blood groups already recorded.
J) No, 300 is more than 10% of the population.
K) No. More than two outcomes are possible on each trial.
17)
We deal 6 cards from a deck and get 3 spades. How likely is this?
A) Yes.
B) No. The chance of getting a spade changes as cards are dealt.
C) No. The suit of each card is in***endent of the suits already obtained.
D) No. More than two outcomes are possible on each trial.
E) No. 3 is more than 10% of 6
Find the indicated probability.
18)
Suppose a computer chip manufacturer rejects 3% of the chips produced because they fail presale testing. What is the probability that the seventh chip you test is the first bad one you find?
F) 0.0250
G) 0.21
H) 0.0007
J) 0.03
K) 0.0219
19)
A tennis player makes a successful first serve 48% of the time. If she serves 8 times, what is the probability that she gets exactly 3 first serves in? Assume that each serve is in***endent of the others.
A) 0.1275
B) 0.0042
C) 0.2355
D) 0.7645
E) 0.1106
20)
A basketball player has made 70% of his foul shots during the season. If he shoots 6 foul shots in tonight's game, what is the probability that he makes none of the shots?
F) 0.3
G) 0.42
H) 0.1176
J) 0.18
K) 0.0007
Solve the problem.
21)
Suppose that 11% of people are left handed. If 38 people are selected at random, what is the mean of the number of right-handers in the group?
A) 3.72
B) 33.82
C) 4.18
D) 19
E) 1.93