Probability Distribution Quiz | Probability Distribution Objective Type Questions and Answers

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Questions
21 Which of the following statement is not true for an exponential distribution with parameter λ?
A the distribution is completely determined once the value of λ is known
B the area under the curve is equal to one
C the distribution is a two-parameter distribution since the mean and standard deviation are equal
D standard deviation = 1 / λ

Answer: the distribution is a two-parameter distribution since the mean and standard deviation are equal
22 Indicate which of the statements below does not correctly apply to normal probability distributions:
A they all have the same mean and standard deviation
B for the standard normal distribution µ = 0 and σ = 1
C they are all unimodal (ie: have a single mode)
D they are all symmetrical

Answer: they all have the same mean and standard deviation
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23 Which probability distribution is appropriate for a count of events when the events of interest occur randomly, independently of one another and rarely?
A poisson distribution
B normal distribution
C uniform distribution
D exponential distribution

Answer: poisson distribution
24 The mean for the exponential distribution equals the mean for the Poisson distribution only when the former distribution has a mean equal to
A 1.0
B 2.0
C 0.5
D the means of the two distributions can never be equal

Answer: 1.0
25 In a popular shopping centre, the waiting time for an ABSA ATM machine is found to be uniformly distributed between 1 and 5 minutes. What is the probability of waiting between 2 and 3 minutes to use the ATM?
A 0.40
B 0.25
C 0.50
D None

Answer: 0.25
26 What is the area under a conditional Cumulative density function ?
A 1
B Infinity
C Changes with CDF
D 0

Answer: 1
27 The expected value of a discrete random variable ‘x’ is given by
A ∑ x P(x)
B P(x)
C ∑ P(x)
D 1

Answer: ∑ x P(x)
28 If ‘X’ is a continuous random variable, then the expected value is given by
A ∫ X P(X)
B ∑ x P(x)
C P(X)
D No value such as expected value

Answer: ∫ X P(X)
29 Which of the following distributions is suitable to model the length of time that elapses before the first employee passes through the security door of a company?
A uniform
B poisson
C normal
D exponential

Answer: exponential
30 If E(x) = 2 and E(z) = 4, then E(z – x) =
A 6
B 0
C 2
D Insufficient data

Answer: 2
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