Statistics & Data Analysis Mock Tests

Three cards are drawn successively without replacement from a well-shuffled deck of 52 cards. The probability that all three are spades is:

The standard deviation of the data 1, 1, 1, 1, 1 is:

A factory has three machines A, B, and C producing 40%, 30%, and 30% of the total output. The defect rates are 2% for A, 3% for B, and 4% for C. If a randomly selected item is defective, the probability that it was produced by machine A is

The number of ways to choose 3 items from 8 distinct items is:

A bag contains 5 red and 3 blue balls. Two balls are drawn one after the other without replacement. Given that the first ball is red, find the probability that the second ball is blue.

If P(A) = 0.6, P(B) = 0.5, and P(A ∪ B) = 0.8, then P(A|B) is:

A fair die is rolled twice. Given that the sum of the outcomes is 10, the probability that the first outcome is 4 is:

If P(A) = 1/3, P(B) = 1/2, and A and B are independent, then P(A ∩ B) equals: