Statistics & Data Analysis Mock Tests

The probability of getting a sum of 9 when two dice are thrown is:

If P(A) = 1/2, P(B) = 1/3, and P(A ∩ B) = 1/6, then A and B are:

Two dice are thrown. The probability that the sum is 7 is:

In a factory, machines A, B, and C produce 25%, 35%, and 40% of output. Defect rates are 5%, 4%, and 2%. If an item is defective, the probability it was produced by B is:

If a binomial distribution has mean = 6 and variance = 3, then n and p are:

A random variable X takes values −1, 0, 1 with probabilities 1/4, 1/2, 1/4 respectively. The variance of X² is:

What is the median of the data set 12, 15, 18, 20, 22, 25?

A factory has two machines A and B. Machine A produces 60% of the items and machine B produces 40%. Machine A produces 5% defective items and machine B produces 1% defective items. If a randomly selected item is defective, the probability that it was produced by machine B is: