MCQOPTIONS

Explore topic-wise MCQs in Statistical Quality Control.

This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Statistical Quality Control knowledge and support exam preparation. Choose a topic below to get started.

1.	The rule of multiplication of probability is possible only _____________
A.	When events are independent
B.	When events are mutually exclusive
C.	When events are Bayesian
D.	When events are Empirical
Answer» B. When events are mutually exclusive

2.	If a card is chosen from a deck of cards, what is the probability that it is either 7 or 9?
A.	4/52
B.	7/52
C.	9/52
D.	8/52
Answer» E.

3.	The cumulative distribution function for the lognormal distribution is given by _____a) \(\phi[\frac{ln⁡(a)-\theta}{\omega}]\) b) \(\phi[\frac{ln⁡(a)-\theta}{a}]\) c) \(\phi[\frac{ln⁡(a)-\omega}{\omega}]\) d) \(\phi[\frac{ln⁡(
A.	\(\phi[\frac{ln⁡(a)-\theta}{\omega}]\)
B.	\(\phi[\frac{ln⁡(a)-\theta}{a}]\)
C.	\(\phi[\frac{ln⁡(a)-\omega}{\omega}]\)
D.	\(\phi[\frac{ln⁡(a)-\theta}{\theta}]\)
Answer» B. \(\phi[\frac{ln⁡(a)-\theta}{a}]\)

4.	The exponential distribution is given by _____
A.	f(x)=xeλ
B.	f(x)= e-λx
C.	f(x)= λe-λx
D.	f(x)=ew
Answer» D. f(x)=ew

5.	For a lognormal random variable, what is the value of mean?
A.	\(μ=e^{\theta+\frac{w^2}{2}}\)
B.	\(μ=e^{\frac{w^2+\theta}{2}}\)
C.	\(μ=e^{w+\frac{\theta^2}{2}}\)
D.	\(μ=e^{\theta+w^2}\)
Answer» B. \(μ=e^{\frac{w^2+\theta}{2}}\)

6.	If a variable x is having its value equal to the exponential function of another variable w, i.e. “x=exp⁡(w)”, and w has normal distribution; the distribution of x is called _______
A.	Normal distribution
B.	Exponential distribution
C.	Lognormal distribution
D.	Gamma distribution
Answer» D. Gamma distribution

7.	The central limit theorem is true for _______ distribution.
A.	Normal distribution
B.	Lognormal distribution
C.	Exponential distribution
D.	Gamma distribution
Answer» B. Lognormal distribution

8.	Which of these is true for the normal distributions?
A.	\(μ_y = a_1 μ_1 + a_2 μ_2 +⋯+ a_n μ_n\)
B.	\(μ_y = a_1 μ_1^2 + a_2 μ_2^2 +⋯+ a_n μ_n^2\)
C.	\(μ_y^2 = a_1^2 μ_1^2 + a_2^2 μ_2^2 +⋯+ a_n^2 μ_n^2\)
D.	\(σ_y^2 = a_1^2 σ_1^2 + a_2^2 σ_2^2 +⋯+ a_n^2 σ_n^2\)
Answer» B. \(μ_y = a_1 μ_1^2 + a_2 μ_2^2 +⋯+ a_n μ_n^2\)

9.	The probability that the normal random variable x is less than or equal to some value a is said to be the _____
A.	Standard normal distribution
B.	Lognormal distribution
C.	Exponential distribution
D.	Cumulative normal distribution
Answer» E.

10.	“ϕ(∙)” is said to be cumulative distribution function of _________
A.	Standard binomial distribution
B.	Standard normal distribution
C.	Standard exponential distribution
D.	Standard gamma distribution
Answer» C. Standard exponential distribution

11.	Which of these equations describe the normal continuous distribution?
A.	\(f(x)=\frac{1}{\sigma \sqrt{2π}} e^{-0.5(\frac{x-μ}{σ})^2}, -\infty < x < -\infty\)
B.	\(f(x)=\frac{1}{\sqrt{2π}} e^{-0.5(\frac{x-μ}{σ})^2}, -\infty < x < -\infty\)
C.	\(f(x)=\frac{1}{\sigma \sqrt{π}} e^{-0.5(\frac{x-μ}{σ})^x}, -\infty < x < -\infty\)
D.	\(f(x)=\frac{1}{\sigma \sqrt{2π}} e^{-0.5(\frac{x-μ}{σ})^x}, -\infty < x < -\infty\)
Answer» B. \(f(x)=\frac{1}{\sqrt{2π}} e^{-0.5(\frac{x-μ}{σ})^2}, -\infty < x < -\infty\)

12.	The rule of multiplication of probability is possible only ____
A.	When events are independent
B.	When events are mutually exclusive
C.	When events are Bayesian
D.	When events are Empirical
Answer» B. When events are mutually exclusive

13.	Which of these distributions has an appearance of bell-shaped or unimodal curve?
A.	Lognormal distributions
B.	Normal distribution
C.	Exponential distribution
D.	Cumulative exponential distributions
Answer» C. Exponential distribution

14.	Which of these is a continuous distribution?
A.	Pascal distribution
B.	Lognormal distribution
C.	Binomial distribution
D.	Hyper geometric distribution
Answer» C. Binomial distribution

15.	Which of these cannot be shown on the continuous distributions?
A.	Length dimension measurement of a box
B.	Volume measurement of the box
C.	Area measurement of one face of the box
D.	Number of defects on the surface of the box
Answer» E.