# MCQs & True or False Questions: Probability

1. A random variable is assigned numerical values based on the outcomes of an experiment -

TRUE OR FALSE

2. For a binomial distribution, each trial has a known number of successes. For example, a 4 question multiple choice test can only have zero, one, two, three or four successes

TRUE OR FALSE

3. To construct a binomial probability distribution, the number of trials and the probability of success must be known.

TRUE OR FALSE

4. The Poisson probability distribution is a continuous probability distribution.

TRUE OR FALSE

5. If we measure the weight of an eggnog carton, the variable is referred to as being a discrete random variable?

TRUE OR FALSE

6. If the variance of a probability was computed to be 3.6 grams - what is the standard deviation?

0.6

1.9

6.0

12.96

7. _____% of data on a normal curve line between 1 and -1 standard deviation points of the mean

68, 95, 99+

8. ____% of data on a normal curve line between 2 and -2 standard deviation points of the mean

a. 68, 95, 99+

9. ____% of data on a normal curve line between 3 and -3 standard deviation points of the mean

a. 68, 95, 99+

10. Areas within a continuous probability distribution (the % of the higher) represents probabilities

TRUE OR FALSE

11. Asymptotic means that the normal curve gets closer and closer to the X-axis but never actually touches it.

TRUE OR FALSE

12. The mean (m) divides the normal curve into two identical halves.

TRUE OR FALSE

13. The shape of any uniform probability distribution is -

Negatively Skewed

Positively Skewed

Rectangular

Bell Shaped????

14. The mean of any uniform probability distribution is

(b-a)/2

(a + b)/2

ox/n

no

15. At a downtown office of FNB, there are five tellers (A, B, C, D & E) How many different sample of 2 tellers are possible?

17. HRC is surveying a sample of 60 firms in order to study health care costs for clients. One of the items tracked is the annual deductible that employees must pay. The state bureau of labor reports the mean of this distribution to be $502 with a population standard deviation of $100. Calculate the likelihood that the sample mean is between $477 and $527.

.8132

.5327

.0254

.9476

18. A credit card determined that customer can charge between 100 and 1100 per month. Given the average monthly charge is uniformly distribution, what is the average monthly charge?

600, 720, 645, 585?

19. 18. A credit card determined that customer can charge between 100 and 1100 per month. Given the average monthly charge is uniformly distribution, what is the standard deviation of the monthly amount charged?

290.88, 288.67, 255.75 or 299.33

20. A group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time students spends studying per week. Based on a random sample, they surveyed 144 students. Statistics showed that students studied an average of 20 hours per week with a standard deviation of 10 hours.

What is the standard error of the mean? .83, .10., .5 or .2?

21. What is the probability that a sample mean would exceed 20 hours per week?

1.0, .5, 1.96 or cannot determine with the information given

22. What is the probability of finding a sample mean less than 18 hours?

.4820, .4920, .0080 or .0180

23. What is the probability the average student study time is between 18 and 22 hours?

0.9640, 0.0160. 0.0360 or 0.9840?

24. Based on the central limit thermo, the size of the sampling error is:

Directly related to the sample size?

Directly related to the population mean?

Inversely related to the sample size?

Inversely related to the population standard deviation?

See attached file.

#### Solution Summary

The solution provides answers to multiple choice and true or false questions on binomial and normal probabilities. Relevant workings are also included.