1. Suppose X is a continuous random variable taking values between 0 and 1 and having a probability distribution described by the following density curve.
The probability that X takes a value between 0 and 3/4 is
A. 0.875.
B. 0.75.
C. 3/8.
2. The weight of a medium size orange selected at random from a large bin of oranges at the local supermarket is a random variable with mean μ = 12 ounces and standard deviation σ = 1.2 ounces. Suppose we independently pick two oranges at random from the bin. The expected value of the sum of the weights of the two oranges, in pounds (1 pound = 16 ounces) is
A. 24.
B. 1.5.
C. 0.75.