Given that, 20% of the products of a company are defective. Use the Binomial distribution to find the following probabilities:
a. In a package of 7 products exactly 4 are non-defective.
b. In a package of 6 exactly 2 are defective.
c. Less than 2 in a package of 6 are defective.
d. At least 2 in a package of 6 are defective. (Hint: ? P(xi) = 1.0, use it for d. )
e. More than 6, in a package of 8 are non-defective.
f. Write the Excel statements for parts a, b, c, d, and e.
g. For a shipment of 900 products, find the mean, variance and standard deviation of number of non-defective products.