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⇱ Quiz about Probability Quiz

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Question 1

Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2, or 3, the die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6?

  • 10/21

  • 5/12

  • 2/3

  • 1/6

Question 2

Consider a random variable X that takes values +1 and −1 with probability 0.5 each. The values of the cumulative distribution function F(x) at x = −1 and +1 are

  • 0 and 0.5

  • 0 and 1

  • 0.5 and 1

  • 0.25 and 0.75

Question 3

A class of 24 students occupies a classroom containing 4 rows of seats, with 7 seats in each row. If the students seat themselves randomly, what is the probability that the 5th seat in the 4th row is empty?

  • 1/7

  • 1/6

  • 1/2

  • 1/5

Question 4

A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card?

  • 1/5

  • 4/25

  • 1/4

  • 2/5

Question 5

Consider a finite sequence of random values X = { x1, x2,..., xn}. Let μx be the mean and σx be the standard deviation of X. Let another finite sequence Y of equal length be derived from this as yi = a*xi + b, where a and b are positive constants. Let μy be the mean and σy be the standard deviation of this sequence. Which one of the following statements is INCORRECT?

  • Index position of mode of X in X is the same as the index position of mode of Y in Y.

  • Index position of median of X in X is the same as the index position of median of Y in Y.

  • μy = aμx+b

  • σy = aσx+b

Question 6

If the difference between expectation of the square of a random variable (E[X²]) and the square of the expectation of the random variable (E[X])² is denoted by R, then?

  • R = 0

  • R < 0

  • R >= 0

  • R > 0

Question 7

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?

  • 1/3

  • 1/4

  • 1/2

  • 2/3

Question 8

What is the probability that divisor of 1099 is a multiple of 1096?

  • 1/625

  • 4/625

  • 12/625

  • 16/625

Question 9

Consider a company that assembles computers. The probability of a faulty assembly of any computer is p. The company therefore subjects each computer to a testing process.This testing process gives the correct result for any computer with a probability of q. What is the probability of a computer being declared faulty?

  • pq + (1 - p)(1 - q)

  • (1 - q) p

  • (1 - p) q

  • pq

Question 10

An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value is odd is 90% of the probability that the face value is even. The probability of getting any even numbered face is the same. If the probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?

  • 0.453

  • 0.468

  • 0.485

  • 0.492

There are 55 questions to complete.

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