Probability and Statistics MCQs Question and Answer in Engineering Maths

41

A fair dice is rolled twice. The probability that an odd number will follow an even number is

A) $$\frac{1}{2}$$ B) $$\frac{1}{6}$$ C) $$\frac{1}{3}$$ D) $$\frac{1}{4}$$

Discuss

Answer & Solution

Answer: Option D

No explanation is given for this question. Let's Discuss on Board

42

Two bags A and B have equal number of bails. Bag A has 20% red balls and 80% green bails. Bag B has 30% red bails. 60% green balls and 10% yellow balls. Contents of Bags A and B are mixed thoroughly and a ball is randomly picked from the mixture. What is the chance that the ball picked is red?

A) 20% B) 25% C) 30% D) 40%

Discuss

Answer & Solution

Answer: Option B

No explanation is given for this question. Let's Discuss on Board

43

If two fair coins are flipped and at least one of the outcomes is known to be a head, what is the probability that both outcomes are heads?

A) $$\frac{1}{3}$$ B) $$\frac{1}{4}$$ C) $$\frac{1}{2}$$ D) $$\frac{2}{3}$$

Discuss

Answer & Solution

Answer: Option A

No explanation is given for this question. Let's Discuss on Board

44

If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed is

A) 0.1517 B) 0.1867 C) 0.2666 D) 0.3646

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

45

Which one of the following statements is NOT true?

A) The measure of skewness is dependent upon the amount of dispersion B) In a symmetric distribution, the values of mean, mode and median are the same C) In a positively skewed distribution: mean > median > mode D) In a negatively skewed distribution: mode > mean > median

Discuss

Answer & Solution

Answer: Option D

No explanation is given for this question. Let's Discuss on Board

46

The probability that a thermistor randomly picked up from a production unit is defective is 0.1. The probability that out of 10 thermistors randomly picked up, 3 are defective is

A) 0.001 B) 0.057 C) 0.107 D) 0.3

Discuss

Answer & Solution

Answer: Option B

No explanation is given for this question. Let's Discuss on Board

47

In a game, two players X and Y are tossing a coin alternately. Whoever gets a 'head' first, wins the game and the game is terminated. Find the chance that player X will win the game if he starts?

A) $$\frac{1}{3}$$ B) $$\frac{1}{2}$$ C) $$\frac{2}{3}$$ D) $$\frac{3}{4}$$

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

48

A loaded dice has following probability distribution of occurrences

Dice Value	1	2	3	4	5	6
Probability	$$\frac{1}{4}$$	$$\frac{1}{8}$$	$$\frac{1}{8}$$	$$\frac{1}{8}$$	$$\frac{1}{8}$$	$$\frac{1}{4}$$

If three identical dice as the above are thrown, the probability of occurrence of values 1, 5 and 6 on the three dice is

A) same as that of occurrence of 3, 4, 5 B) same as that of occurrence of 1, 2, 5 C) $$\frac{1}{{128}}$$ D) $$\frac{5}{8}$$

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

49

Consider a Gaussian distributed random variable with zero mean and standard deviation σ. The value of its cumulative distribution function at the origin will be

A) 0 B) 0.5 C) 1 D) 10 σ

Discuss

Answer & Solution

Answer: Option B

No explanation is given for this question. Let's Discuss on Board

50

Two independent random variables X and Y are uniformly distributed in the interval [-1, 1]. The probability that max [X, Y] is less than $$\frac{1}{2}$$ is

A) $$\frac{3}{4}$$ B) $$\frac{9}{{16}}$$ C) $$\frac{1}{4}$$ D) $$\frac{2}{3}$$

Discuss

Answer & Solution

Answer: Option B

No explanation is given for this question. Let's Discuss on Board