Application
b) Poisson Distribution
This set of Probability and Statistics Multiple Choice Questions & Answers (MCQs) focuses on “Probability Distributions – 1”.
a) Gaussian Distribution
b) Poisson Distribution
c) Rayleigh Distribution
d) Exponential Distribution
c) 1
2. What is the area under a conditional Cumulative density function?
a) 0
b) Infinity
c) 1
d) Changes with CDF
b) Only if random variables exhibit statistical independency
3. When do the conditional density functions get converted into the marginally density functions?
a) Only if random variables exhibit statistical dependency
b) Only if random variables exhibit statistical independency
c) Only if random variables exhibit deviation from its mean value
d) If random variables do not exhibit deviation from its mean value
d) Does not contain any common sample point
4. Mutually Exclusive events ___________
a) Contain all sample points
b) Contain all common sample points
c) Does not contain any sample point
d) Does not contain any common sample point
b) P (G) = 1 – P (H)
5. What would be the probability of an event ‘G’ if H denotes its complement, according to the axioms of probability?
a) P (G) = 1 / P (H)
b) P (G) = 1 – P (H)
c) P (G) = 1 + P (H)
d) P (G) = P (H)
d) Probability Distribution
6. A table with all possible value of a random variable and its corresponding probabilities is called ___________
a) Probability Mass Function
b) Probability Density Function
c) Cumulative distribution function
d) Probability Distribution
a) Continuous random variable
7. A variable that can assume any value between two given points is called ___________
a) Continuous random variable
b) Discrete random variable
c) Irregular random variable
d) Uncertain random variable
b) Discrete random variable
8. If a variable can certain integer values between two given points is called ___________
a) Continuous random variable
b) Discrete random variable
c) Irregular random variable
d) Uncertain random variable
c) ∑ x P(x)
9. The expected value of a discrete random variable ‘x’ is given by ___________
a) P(x)
b) ∑ P(x)
c) ∑ x P(x)
d) 1
c) ∫ X P(X)
If ‘X’ is a continuous random variable, then the expected value is given by ___________
a) P(X)
b) ∑ x P(x)
c) ∫ X P(X)
d) No value such as expected value
d) P(x) = – 0.5
. Out of the following values, which one is not possible in probability?
a) P(x) = 1
b) ∑ x P(x) = 3
c) P(x) = 0.5
d) P(x) = – 0.5
b) 13, 18
4. Find median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17.
a) 13, 6
b) 13, 18
c) 18, 15
d) 15, 16
a) True
E (XY)=E (X)E (Y) if x and y are independent.
a) True
b) False
a) 1/2
. A coin is tossed up 4 times. The probability that tails turn up in 3 cases is ______
a) 1/2
b) 1/3
c) 1/4
d) 1/6
a) m = np
In a Poisson Distribution, if ‘n’ is the number of trials and ‘p’ is the probability of success, then the mean value is given by?
a) m = np
b) m = (np)2
c) m = np(1-p)
d) m = p
b) Hypothesis
A statement made about a population for testing purpose is called?
a) Statistic
b) Hypothesis
c) Level of Significance
d) Test-Statistic
Null Hypothesis
If the assumed hypothesis is tested for rejection considering it to be true is called?
a) Null Hypothesis
b) Statistical Hypothesis
c) Simple Hypothesis
d) Composite Hypothesis
b) Statistical Hypothesis
A statement whose validity is tested on the basis of a sample is called?
a) Null Hypothesis
b) Statistical Hypothesis
c) Simple Hypothesis
d) Composite Hypothesis
c) Simple Hypothesis
A hypothesis which defines the population distribution is called?
a) Null Hypothesis
b) Statistical Hypothesis
c) Simple Hypothesis
d) Composite Hypothesis
a) We reject H0 if it is True
Type 1 error occurs when?
a) We reject H0 if it is True
b) We reject H0 if it is False
c) We accept H0 if it is True
d) We accept H0 if it is False
c) α
The probability of Type 1 error is referred as?
a) 1-α
b) β
c) α
d) 1-β
b) Research Hypothesis
Alternative Hypothesis is also called as?
a) Composite hypothesis
b) Research Hypothesis
c) Simple Hypothesis
d) Null Hypothesis
a) Right tailed
Consider a hypothesis H0 where ϕ0 = 5 against H1 where ϕ1 > 5. The test is?
a) Right tailed
b) Left tailed
c) Center tailed
d) Cross tailed
a) Test statistic
Which of the following is defined as the rule or formula to test a Null Hypothesis?
a) Test statistic
b) Population statistic
c) Variance statistic
d) Null statistic
b) Level of Significance
The rejection probability of Null Hypothesis when it is true is called as?
a) Level of Confidence
b) Level of Significance
c) Level of Margin
d) Level of Rejection