In a study of helicopter usage and patient survival, among the 59 comma 45159,451 patients transported by helicopter,

261261 of them left the treatment center against medical advice, and the other 59 comma 19059,190 did not leave against medical advice. If 6060 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

enter your response here.

(Round to three decimal places as needed.)

2. In a certain country, the true probability of a baby being a boy

is 0.5390.539. Among the next five randomly selected births in the country, what is the probability that at least one of them is a girl?

The probability is

enter your response here.

(Round to three decimal places as needed.)

3. 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 tested positive,

given that he or she had the disease

Yes No Positive 135 7 Negative 17 141

The probability is approximately

enter your response here.

(Round to three decimal places as needed.)

4.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 tested

positive, given that he or she had the disease.

Yes No Positive 130 13 Negative 35 122 he probability is approximately

enter your response here.

(Round to three decimal places as needed.)

5.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.

_ No_(Did_Not_Lie) Yes_(Lied) Positive_test_results 14 44 Negative_test_results 32 12

The probability is

enter your response here.

(Round to three decimal places as needed.)

6.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._ No_(Did_Not_Lie) Yes_(Lied) Positive_test_results 11 44 Negative_test_results 30 10

The probability is

enter your response here.

(Round to three decimal places as needed.)

7. If you know the names of the remaining seven students in the spelling bee, what is the probability of randomly selecting an order and getting the order that is used in the spelling bee?

P(selecting the correct spelling bee

order)equals=

(Type an integer or a simplified fraction.)

8. In a small private school,

66

students are randomly selected from

1818

available students. What is the probability that they are the six youngest students?

The probability is

enter your response here.

(Type an integer or a simplified fraction.)

9.Winning the jackpot in a particular lottery requires that you select the correct two

numbers between 1 and 45 and, in a separate drawing, you must also select the correct single number between 1 and

30.

Find the probability of winning the jackpot.

The probability of winning the jackpot is

enter your response here.

(Type an integer or simplified fraction.)

10. Winning the jackpot in a particular lottery requires that you select the correct two

numbers between 1 and 63 and, in a separate drawing, you must also select the correct single number between 1 and

48. Find the probability of winning the jackpot.

The probability of winning the jackpot is

enter your response here.

(Type an integer or simplified fraction.)