1. Find the indicated probability.
In a survey of 300 college graduates, 63% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected without replacement for follow-up survey, what is the probability that 4 or fewer of them entered a profession closely related to their college major?
A. 0.207
B. 0.0512
C. 0.149
D. 0.793
2. Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Choosing eight marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the colors of the marbles chosen.
A. Not binomial: there are too many trials
B. Not binomial: the trials are not independent
C. Procedure results in binomial distribution
D. Not binomial: there are more than two outcomes for each trial
3. The probability that a radish seed will germinate is 0.7. A gardener plant seeds in batches of 8. Find the standard deviation for the number of seeds germinating in each batch.
A. 1.7
B. 2.8
C. 1.3
D. 16.8
4. Find the mean for the binomial distribution which has stated values of n and p. Round answer to the nearest tenth.
N=1632; P=0.57
A. 939.9
B. 937.5
C. 922.7
D. 930.2
5. According to a college survey, 22% of all students work full time. Find the mean for the number of students who work full time in samples of size 16.
A. 0.2
B. 3.5
C. 4.0
D. 2.8
6. Lab tech is a company that manufactures microscopes and other laboratory instruments. On occasion, one of the microscopes is defective when it comes off of the production line. The probability that a microscope is defective is 0.17%. Find the probability that the first defective microscope comes after the first 100 microscopes off of the production line.
A. 0.156
B. 0.818
C. 0.742
D. 0.844
7. Assume that a procedure yields a geometric distribution where the probability of success is 90%. Use the geometric probability formula to find the probability the the first success occurs on the second trial.
A. 0%
B. 4%
C. 5%
D. 9%
8. Assume that a procedure yields a geometric distribution where the probability of success is 19%. Use the geometric probability formula to find the probability the the first success occurs on the third trial.
A. 0.125
B. 0.207
C. 0.469
D. 0.544
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My answers 1. B 2. D 3. C 4. B 5. B 6. A 7&8 I’m not sure
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