Modeling Process Quality MCQ

Test your knowledge with important Modeling Process Quality MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Modeling Process Quality MCQs on Bissoy. Bissoy App

• For a variable distributed log-normally with θ=6, ω=1.2; what is the probability that the variable exceeds a value of 500?
  ক

  0.4290

  খ

  0.5710

  গ

  0.4990

  ঘ

  0.4937
• Which of these will not be distributed on a discrete distribution?
  ক

  The number of houses in a colony

  খ

  The number of bedrooms in a house

  গ

  The number of scratches on a car hood

  ঘ

  The diameter of a car tire
• If the shape parameter of the gamma distribution is twice the scale parameter, what will be the value of the mean of the distribution?
  ক

  1.5

  খ

  2

  গ

  4

  ঘ

  1
• Exponential distribution is a special case of gamma distribution.
  ক

  True

  খ

  False
• The mean of the gamma distribution is given by _________
  ক

  μ=1/λ

  খ

  μ=r/λ

  গ

  μ=r2/λ

  ঘ

  μ=1/r
• The mean of the exponential distribution used in reliability engineering is used as mean time to failure.
  ক

  True

  খ

  False
• The exponential distribution is used in reliability engineering as a model of the time to failure of a system. The parameter λ is called _____ in this application.
  ক

  Failure rate

  খ

  MTF

  গ

  Hazard rate

  ঘ

  MTBF
• (1-e-λ
  ক

  is the cumulative ______ distribution. ] Gamma

  খ

  Normal

  গ

  Lognormal

  ঘ

  Exponential
• The relationship between the mean and variance of the exponential distribution is expressed by _____
  ক

  μ = λσ2

  খ

  μ = σ2/λ

  গ

  σ2=λ2 μ

  ঘ

  σ2=μ/λ2
• The variance of lognormal distribution is given by ____
  ক

  σ2 = e2θ+w (\(e^{w^{2}}\)-1)

  খ

  σ2 = e2θ+w2 (ew-1)

  গ

  σ2 = e2θ+w2 (\(e^{w^{2}}\)-1)

  ঘ

  σ2 = e2θ+w2 (\(e^{w^{2}}\)-2)
• For mean=7 and standard deviation=2, what will be probability that a variable, which follows normal distribution, will have a value less than or equal to 10?
  ক

  0.93319

  খ

  0.94520

  গ

  0.96409

  ঘ

  0.91924
• Which one of these is not one of the conditions for the binomial distribution?
  ক

  Only two outcomes must be there for an event

  খ

  Independent trials must be there

  গ

  Trials must be more than 4

  ঘ

  The probability of failure must be constant
• The display of possible outcomes of an event with their corresponding probabilities is called ____________
  ক

  Probability Plot

  খ

  Contingency table

  গ

  Bayesian Table

  ঘ

  Frequency Plot
• For a experiment following binomial distribution, the mean is 54.3, and the number of independent trials is 121. What will be the probability of failure?
  ক

  0.55123

  খ

  0.51000

  গ

  0.44877

  ঘ

  0.45700
• The mean of a Poisson distribution is _____
  ক

  Greater than λ

  খ

  Lesser than λ

  গ

  Equal to λ

  ঘ

  Having no relation with λ
• Let us take Bernoulli trial of tossing a coin. If there are 70 independent trials, and finding a head is a success, what will be the variance?
  ক

  17.5

  খ

  18.5

  গ

  4.8

  ঘ

  4.18
• The independent trials which have either a “success” or a “failure” as an outcome, are called ____
  ক

  Normal trials

  খ

  Bernoulli trials

  গ

  Poisson’s trials

  ঘ

  Hyper geometric trials
• The mean of hyper geometric probability distribution is expressed as _____
  ক

  μ=nD/N

  খ

  μ=np

  গ

  μ=r/p

  ঘ

  μ=nN/D
• Which of these is not a discrete probability distribution?
  ক

  Hyper geometric Distribution

  খ

  Binomial Distribution

  গ

  Normal Distribution

  ঘ

  Poisson Distribution
• For evaluation probability of measurement of length of a part being a certain value, discrete probability distributions can be used.
  ক

  True

  খ

  False
• For a Pascal distribution; r=3 and the probability of success is 0.7895. What will be the value of “σ”?
  ক

  1.0131

  খ

  3

  গ

  1.0065

  ঘ

  1.7320
• Bernoulli trials are a part of _____ probability distribution.
  ক

  Poisson

  খ

  Binomial

  গ

  Hyper geometric

  ঘ

  Normal
• Which of the expression represents the mean of Pascal distribution?
  ক

  r/p

  খ

  np

  গ

  nD/N

  ঘ

  np(1-p)
• Lognormal distributions are a part of discrete distributions.
  ক

  True

  খ

  False
• When r=1 in a Pascal distribution, what is this case called?
  ক

  Negative binomial distribution

  খ

  Positive binomial distribution

  গ

  Hyper geometric distribution

  ঘ

  Geometric distribution
• When is Pascal distribution, called negative binomial distribution?
  ক

  When r>0 but not necessarily an integer

  খ

  When r<0 but an integer

  গ

  When r>3 and an integer

  ঘ

  When r=0 and an integer
• In sample fraction defective, the ̂ symbol represents that ______
  ক

  p ̂ is an estimate of the true value of binomial parameter p

  খ

  It is the “raised to power” operator

  গ

  It is having no significance

  ঘ

  It is the true value of binomial parameter p
• For 9 Bernoulli trials, what will be the mean of trials when the probability of failure is 0.56?
  ক

  5.04

  খ

  1.74

  গ

  3.96

  ঘ

  2.82
• For a Poisson distribution, parameter λ is having a value of 7. What is the variance for the distribution?
  ক

  2.64

  খ

  2.78

  গ

  7

  ঘ

  14
• Which of these gives a correct definition of continuous distributions?
  ক

  Probability distribution of the variable being measured which takes on random values

  খ

  Probability distribution of the variable being measured which takes on values dependent over a calculated mechanism

  গ

  Probability distribution of the variable which takes some certain values such as integers

  ঘ

  Probability distribution of the variable being measured that takes values on continuous scale