Question
1)A certain group of women has a 0.63%rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does
1)A certain group of women has a 0.63%rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?
What is the probability that the woman selected does not have red/green color blindness?
2)In a study of helicopter usage and patient survival, among the
51,869 patients transported by helicopter, 257 of them left the treatment center against medical advice, and the other 51,612 did not leave against medical advice. If 40 of the subjects transported by helicopter are randomly selected without replacement, what is the probability that none of them left the treatment center against medical advice?
The probability is?
3) Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among
146 subjects with positive test results, there are 28 false positive results. Among 150 negative results, there are 2 false negative results.
How many subjects were included in the study?
The total number of subjects in the study was?
4)Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.
Drive-thru Restaurant | ||||
A | B | C | D | |
Order Accurate | 319 | 267 | 246 | 132 |
Order Not Accurate | 38 | 54 | 39 | 15 |
If three different orders are selected, find the probability that they are all from Restaurant
C.
The probability is ?.
5)Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.
Drive-thru Restaurant | ||||
A | B | C | D | |
Order Accurate | 317 | 265 | 232 | 128 |
Order Not Accurate | 31 | 54 | 38 | 15 |
If two orders are selected, find the probability that they are both from Restaurant D.
Assume that the selections are made with replacement. Are the events independent?
Assume that the selections are made without replacement. Are the events independent?
Assume that the selections are made with replacement. Are the events independent?
The probability of getting two orders from Restaurant D is ____.
6) Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.
Drive-thru Restaurant | ||||
A | B | C | D | |
Order Accurate | 310 | 269 | 232 | 133 |
Order Not Accurate | 32 | 59 | 38 | 13 |
If one order is selected, find the probability of getting an order that is not accurate or is from Restaurant C. Are the events of selecting an order that is not accurate and selecting an order from Restaurant C disjoint events?
The probability of getting an order from Restaurant C or an order that is not accurate is ____.
7) Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.
Drive-thru Restaurant | ||||
A | B | C | D | |
Order Accurate | 319 | 274 | 244 | 123 |
Order Not Accurate | 30 | 60 | 32 | 10 |
If one order is selected, find the probability of getting an order from Restaurant A or an order that is accurate. Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events?
The probability of getting an order from Restaurant A or an order that is accurate is ____.
8)Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.
Drive-thru Restaurant | ||||
A | B | C | D | |
Order Accurate | 338 | 262 | 233 | 135 |
Order Not Accurate | 38 | 60 | 37 | 18 |
If one order is selected, find the probability of getting food that is not from Restaurant A.
The probability of getting food that is not from Restaurant A is _____.
9)In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it found that
P(D)=0.680, where D is directly in person. If someone is randomly selected, what does PD represent, and what is itsvalue?
What does PD represent?
A.PD is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.
B. PD is the probability of randomly selecting someone who chooses a direct in-person encounter as the most fun way to flirt.
C. PD is the probability of randomly selecting someone who did not participate in the survey.
D. PD is the probability of randomly selecting someone who did not have a preference in regards to the most fun way to flirt.
P(D)=
10) Find the indicated complement. A certain group of women has a 0.39% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?
What is the probability that the woman selected does not have red/green color blindness?
11) Assuming boys and girls are equally likely, find the probability of a couple having a baby girl when their fourth child is born, given that the first three
children were allgirls.
The probability is _.
12) In a certain country, the true probability of a baby being a girl is 0.488. Among the next four randomly selected births in the country, what is the probability that at least one of them is a boy?
The probability is ___.
13) Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randomly selected (with replacement). Find the probability that for one such phone number, the last four digits include at least one 0.
The probability is _.
14)Based on a poll, 66% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among four randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond?
The probability that at least one of them is careful about personal information is ___.
15) In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table
Purchased Gum | Kept the Money | ||
Students Given Four Quarters | 25 | 15 | |
Students Given a $1 Bill | 17 | 32 |
Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.
The probability is ____.
16)
The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests negative, given that he or she had the disease. | The individual actually had the disease | ||
---|---|---|---|
Yes | No | ||
Positive | 136 | 5 | |
Negative | 38 | 121 |
The probability is approximately ______.
17)
The accompanying table shows the results from a test for a certain disease. Find the probability of selecting a subject with a negative test result, given that the subject has the disease. What would be an unfavorable consequence of this error? | The individual actually had the disease | |||
---|---|---|---|---|
Yes | No | |||
Positive | 348 | 5 | ||
Negative | 10 | 1176 |
The probability is _____.
18)
The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That is, find the probability that the subject lied, given that the test yields a positive result.
Did the Subject Actually Lie? |
No (Did Not Lie) | Yes (Lied) | |
Positive test results | 14 | 42 |
Negative test results | 31 | 8 |
The probability is?
19) Assume that there is a 4% rate of disk drive failure in a year.
a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive?
b. If copies of all your computer data are stored on
three independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?
a. With two hard disk drives, the probability that catastrophe can be avoided is
20)Testing for a disease can be made more efficient by combining samples. If the samples from three people are combined and the mixture tests negative, then allthree samples are negative. On the other hand, one positive sample will always testpositive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.2, find the probability of a positive result for three samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary?
The probability of a positive test result is?
21) To reduce laboratory costs, water samples from six public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.009 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from six public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary?
The probability of a positive test result is?
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