Use the binomial function to answer the following questions (there is no data set here):
Suppose a shipment of 410 components contains 70 defective and 340 non-defective computer components. From the shipment you take a random sample of 20. When sampling with replacement (binomial), determine the probability of obtaining:
a. Exactly two defective components in the sample of 20.
b. Four or more defective components in the sample of 20.
c. Four or less defective components in the sample of 20.
d. Between one and four (inclusive) defective components.
e. More than three defective components.
f. What are the mean and variance of this discrete random variable?