1. It can take different values as a result of the outcomes of a random experiment.
A. Different variable
B. Random variable
C. Sample space
D. None of the above
2. These are the type of probability distribution
A. Normal distribution
B. Binomial distribution
C. Poison distribution
D. All of the above
3. When a random experiment is carried out, the totality of outcomes of the experiment forms a set which is known as ………… of the experiment.
A. Sample space
B. Distribution
C. Event
D. None of the above
4. Which of the following is an example of continuous random variable?
A. Temperature
B. Weight
C. Height
D. All of the above
5. A variable that can assume any value between two given points is called ___________
A. Uncertain random variable
B. Discrete random variable
C. Continuous random variable
D. Irregular random variable
6. Which of the following is an example of discrete random variable?
A. Number of students in a class
B. Temperature
C. Height
D. None of the above
7. For a continuous random variable x, the probability density function f(x) represents
A. The probability at a given value of x
B. The area under the curve to the right of x
C. The area under the curve at x
D. The height of the function at x
8. The ………….. Probability is allowed to take on only a limited number of values
A. Discrete
B. Continuous
C. Limited
D. None of the above
9. The variable may have infinite values.
A. Uncertain random variable
B. Discrete random variable
C. Irregular random variable
D. Continuous random variable
10. Which of the following is a discrete probability distribution?
A. Poisson Distribution
B. Binomial Distribution
C. Both (a) and (b)
D. Neither (a) nor (b)
11. In binomial distribution, each trial has only ………… possible outcomes
A. Three
B. Four
C. Two
D. None of the above
12. Which of the following is an assumption under Binomial distribution?
A. Each trial has only two possible outcomes Yes or No, success or failure, etc.
B. Regardless of how many times the experiment is performed, the probability of the outcome, each time, remains the same.
C. The trials are statistically independent.
D. All of the above
13. What is p in formula of binomial distribution, P(r) = nCr p r qn-r
A. Probability of failure
B. Probability of success
C. No. of successes desired
D. None of the above
14. A fair coin is tossed six times. What is the probability of obtaining four or more heads?
A. 0.434
B. 0.344
C. 0.943
D. 0.433
15. Which of the following is a characteristic of binomial distribution?
A. The form of the distribution depends upon the parameters p and n.
B. It is mainly applied when the population being sampled is infinite.
C. It can also be applied to a finite population, if it is not very small or the units sampled are replaced before the next trial is attempted.
D. All of the above
16. The incidence of a certain disease is such that on an average 20% of workers suffer from it. If 10 workers are selected at random, find the probability that Exactly 2 workers suffer from the disease
A. 0.502
B. 0.302
C. 0.7
D. 0.658
17. If the probability of defective bolts is 0.1, find the standard deviation for the distribution of defective bolts in a total of 50.
A. 6.71
B. 7.61
C. 8.71
D. 7.86
18. Which of the following is not a characteristic of the Poisson distribution?
A. It is a discrete probability distribution and it is the limiting form of the binomial distribution.
B. It is a negatively skewed distribution.
C. It consists of a single parameter m only. So, the entire distribution can be obtained by knowing this value only.
D. The range of the random variable is 0 ≤ r < ∞
19. 2% of the electronic toys produced in a certain manufacturing process turnout to be defective. What is the probability that a shipment of 200 toys will contain exactly 5 defectives?
A. 0.35
B. 0.516
C. 0.156
D. 0.25
20. Which of the following is a characteristic of normal distribution?
A. The curve has a single peak
B. The two tails of the normal probability distribution extend indefinitely but never touch the horizontal axis.
C. The mean, median and mode are the same value
D. All of the above