# Multiple choice questions on probability

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1) A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is selected from this program to be interviewed about the introduction of a new fast food outlet on ground floor of the campus building, what is the probability that all four students selected are undergraduate students.

A) 0.0256 (B) 0.0625 (C) 0.16 (D) 0.25

2) What type of probability distribution will most likely be used to analyze the number of cars with defective radios in the following problem?

From an Inventory of 48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed. The sales manager of one dealership wants to predict the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

A)Binomial (B) Poisson (C) Normal distribution (D) Hypergeometric distribution

3)Given a normal distribution with u=100 and s=10, what is the probability that X>75?

A)0.99 (B) 0.25 (C) 0.49 (D) 0.45

4)The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.50 liter. Bottle that contain less than 95% of the listed net content(1.90 liters in this case) can make the manufacturer subject to penalty by the state office of consumer affairs whereas bottles that have a net content above 2.10 liters may cause excess spillage upon opening. What proportion of the bottle will contain below 1.90 liters or above 2.10 liters

A) 0.0228 (B) 0.0456 (C) 0.5456 (D) 0.9544

5) If the outcomes of a random variable follow a Poisson distribution, then their.

A) mean equals the standard deviation (B) median equals the standard deviation (C) mean equals the variance (D) median equals the variance

6) The local police department must write, on average, 5 tickets a day to keep department revenues at the budgeted levels. Suppose the number of tickets written per day allows a Poisson distribution with a mean of 6.5 tickets per day. What of the following statements is the best interpretation of the value of the mean?

A) The number of tickets that is written most often is 6.5 tickets per day (B) half of the days have less than 6.5 tickets written and half of the days have more than 6.5 tickets written(C) If sample all day, the arithmetic average or expected number of tickets written would be 6.5 tickets per day.(D) The mean has no interpretation since 0.5 tickets can never be written; it must be a whole number

7) An on the job injury occurs once every 10 days, at an Automobile plant. What is the probability that the next on the job injury will occur within 10 days.

A) .9513 (B) .8647 (C) .6500 (D) .6321

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Answers/ Explanations to 7 multiple choice questions on probability, probability distribution, normal distribution, Poisson distribution

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1) A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is selected from this program to be interviewed about the introduction of a new fast food outlet on ground floor of the campus building, what is the probability that all four students selected are undergraduate students.

A) 0.0256 (B) 0.0625 (C) 0.16 (D) 0.25

Answer: (B) 0.0625

probability that a student is undergraduate= 1/2 as the campus program evenly enrolls undergraduate and graduate students

Therefore probability that all four students are undergraduate = p xp x p x p = 1/2 x 1/2 x 1/2 x 1/2 = 1/16= 0.0625

2) What type of probability distribution will most likely be used to analyze the number of cars with defective radios in the following problem?

From an Inventory of 48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed. The sales manager of one dealership wants to predict the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

A)Binomial (B) Poisson (C) Normal distribution (D) Hypergeometric distribution

Answer: a) Binomial

This is a binomial ...

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