Questions and answers for exam Preparation

MCQs

Random Variable And Probability Distributions

Total Questions : 83 | Page 8 of 9 pages

Question 71. The demand of products per day for three days are 21, 19, 22 units and their respective probabilities are 0.29, 0.40, 0.35. The profit per unit is $0.50 then the expected profits for three days are

21, 19, 22
21.5, 19.5, 22.5
0.29, 0.40, 0.35
3.045, 3.8, 3.85

Discuss Question

Answer: Option D. -> 3.045, 3.8, 3.85
Answer: (d).3.045, 3.8, 3.85

Question 72. In a negative binomial distribution of probability, the random variable is also classified as

discrete random variable
continuous waiting time random variable
discrete waiting time random variable
discrete negative binomial variable

Discuss Question

Answer: Option C. -> discrete waiting time random variable
Answer: (c).discrete waiting time random variable

Question 73. If the value of m in beta distribution is 35 and the value of n in beta distribution is 50 then the expected value of random variable x in beta distribution is

0.411
0.311
0.511
0.211

Discuss Question

Answer: Option A. -> 0.411
Answer: (a).0.411

Question 74. The normal distribution is also classified as

Gaussian distribution
Poisson distribution
Bernoulli's distribution
weighted average distribution

Discuss Question

Answer: Option A. -> Gaussian distribution
Answer: (a).Gaussian distribution

Question 75. The formula of mean of uniform or rectangular distribution is as

mean = 4(b + a) ⁄ 2b
mean = (b + a) ⁄ 2
mean = (b - 2a) ⁄ 4
mean = (2a + 2b) ⁄ 2a

Discuss Question

Answer: Option B. -> mean = (b + a) ⁄ 2
Answer: (b).mean = (b + a) ⁄ 2

Question 76. The probability which explains x is equal to or less than particular value is classified as

discrete probability
cumulative probability
marginal probability
continuous probability

Discuss Question

Answer: Option B. -> cumulative probability
Answer: (b).cumulative probability

Question 77. The types of probability distributions by taking their functions of considerations must include

posterior probability distribution
discrete probability distribution
continuous probability distribution
both b and c

Discuss Question

Answer: Option D. -> both b and c
Answer: (d).both b and c

Question 78. If the sample size is 6 and the population is 50 from which it is drawn without replacement and the elements for success are 22 then the variance of hyper geometric probability distribution is