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A college administrator claims that probably 30% of students do not know the name of a single one of their professors. You decide to survey

A college administrator claims that probably 30% of students do not know the name of a single one of their professors. You decide to survey 20 random students and find that only two do not know the names of any of there professors. If the administrator is correct what would be the probability of getting exactly two in your survey?

Question 1 options:

about 15%

about 11%

about 6%

about 3%

Question 2 (1 point)

A college administrator claims that probably 30% of students do not know the name of a single one of their professors. You decide to survey 20 random students and find that only two do not know the names of any of there professors. What are your thoughts about the likely accuracy of this administrator's statement?

Question 2 options:

The administrator is unlikely to be correct.

The administrator is likely to be correct.

Not enough information to say if administrator is likely or unlikely to be correct.

Question 3 (1 point)

Consider that you work for a manufacturer of surgical paper. According to customer specifications, high quality paper should average no more than 3 small defects per 100 ft. You are the head of quality control and ask a recent hire (a KSU grad) to inspect a 100 foot sample of the paper. The new hire reports "Pretty close only six defects!" Ask the new hire to calculate the probability of finding six defects when the average is three. What probability will be reported?

Question 3 options:

.30

.25

.15

.05

Question 4 (1 point)

It is the last shot of the basketball game. The player at the foul line is a 60% shooter. He has to make two out of three shots to win. What is the probability that he will make exactly two shots?

Question 4 options:

.332

.432

.518

.578

Question 5 (1 point)

It is the last shot of the basketball game. The player at the foul line is a 60% shooter. He has to make two out of three shots to win. What is the probability that he will make two or more shots?

Question 5 options:

.648

.444

.360

.271

Question 6 (1 point)

The U.S. sends a three missile detection systems to Ukraine that each have a .75 probability of detecting an incoming missile. What is the probability that at least one of these three will detect an incoming missile. (Please pick the best(closest) answer.)

Question 6 options:

over 90%

over 95%

over 98%

over 99%

Question 7 (1 point)

A professor has calculated that he averages receiving 16 emails per eight hour day. He needs to rush out after his one hour class. What is the probability that he received no emails during that class?

Question 7 options:

about .112

about .135

about .193

about .227

Question 8 (1 point)

The student body of a large university consists of 65% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are male?

Question 8 options:

0.0036

0.1691

0.4278

0.0253

Question 9 (1 point)

Roth is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.

Number of

New Clients

Probability

0

0.05

1

0.10

2

0.15

3

0.30

4

0.25

5

0.10

6

0.05

The expected number of new clients per month is

Question 9 options:

6.

0.

3.1.

3.

Question 10 (1 point)

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The probability that there are less than 3 occurrences is

Question 10 options:

.0659.

.0948.

.1016.

.1239.

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