In: Statistics and Probability
Determine whether or not the random variable X is a binomial
random variable. If so, give the values of n and p. If not, explain
why not.
a. X is the number of dots on the top face of fair die that is
rolled.
b. X is the number of hearts in a five-card hand-drawn (without
replacement) from a well-shuffled ordinary deck.
c. X is the number of defective parts in a sample of ten randomly
selected parts coming from a manufacturing process in which 0.02%
of all parts are defective.
d. X is the number of times the number of dots on the top face of a
fair die is even in six rolls of the die.
e. X is the number of dice that show an even number of dots on the
top face when six dice are rolled at once.