Answer Happy

1. A company that makes candy claims there are approximately 24 individual pieces in a regular- sized bag of candy. However, because of variability in the manufacturing process, the actual amount in each bag varies randomly. Let the random variable X represent the number of pieces of candy in a randomly selected bag and suppose that X has the following probability distribution. X 24 26 23 9 25 0.15 P(X = x) 0.7 0.05 a. Find the value of q that makes this a legitimate probability distribution. b. Is X a discrete or continuous random variable? Explain. c. What is the proportion of bags of candy that have more than 24 pieces? Write as a probability relating to X using proper probability notation. d. Find the mean of X. Interpret this number in terms of the problem. e. Calculate the variance of random variable X.