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MCQs

Random Variable And Probability Distributions

Total Questions : 83 | Page 6 of 9 pages
Question 51. The probability of failure in binomial distribution is denoted by
  1.    p = q +1
  2.    p = q - 1
  3.    q = 1 + p
  4.    q = 1 - p
 Discuss Question
Answer: Option D. -> q = 1 - p
Answer: (d).q = 1 - p
Question 52. The value which is used to measure the distance between mean and random variable x in terms of standard deviation is called
  1.    z-value
  2.    variance
  3.    probability of x
  4.    density function of x
 Discuss Question
Answer: Option A. -> z-value
Answer: (a).z-value
Question 53. The variance of binomial probability distribution is larger in value if
  1.    q is greater than 0.5
  2.    p and q are equal
  3.    p and q are greater than 0.5
  4.    p is greater than 0.5
 Discuss Question
Answer: Option B. -> p and q are equal
Answer: (b).p and q are equal
Question 54. In the normal distribution, the normal curve becomes more wider and more flatter because of
  1.    small value of variance
  2.    large value of variance
  3.    large value of standard deviation
  4.    small value of standard deviation
 Discuss Question
Answer: Option C. -> large value of standard deviation
Answer: (c).large value of standard deviation
Question 55. The binomial probability distribution is classified as skewed to left if
  1.    p > 0.5
  2.    q > 0.5
  3.    p < 0.5
  4.    q < 0.5
 Discuss Question
Answer: Option A. -> p > 0.5
Answer: (a).p > 0.5
Question 56. If the μ is equal to 4 then the variance of exponential probability distribution is
  1.    0.0625
  2.    0.085
  3.    0.0925
  4.    0.0725
 Discuss Question
Answer: Option A. -> 0.0625
Answer: (a).0.0625
Question 57. If the parameter μ is 11 and the n of the gamma distribution is 50 then the variance of gamma distribution is
  1.    0.713
  2.    0.613
  3.    0.513
  4.    0.413
 Discuss Question
Answer: Option D. -> 0.413
Answer: (d).0.413
Question 58. For the Gamma distribution, if the value of n is equal to 15 and the value of μ is 7 then the expected value for this distribution is
  1.    3.14
  2.    2.14
  3.    4.14
  4.    5.14
 Discuss Question
Answer: Option B. -> 2.14
Answer: (b).2.14
Question 59. If the value of m in beta distribution is 5 and the value of n is 25 then the standard deviation of beta distribution is
  1.    0.067
  2.    0.057
  3.    0.047
  4.    0.077
 Discuss Question
Answer: Option A. -> 0.067
Answer: (a).0.067
Question 60. The probability of success increases in the binomial probability distribution if the value of
  1.    p increases
  2.    p decrease
  3.    q increases
  4.    q decreases
 Discuss Question
Answer: Option A. -> p increases
Answer: (a).p increases

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