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In: Statistics and Probability

Determine whether or not the random variable X is a binomial random variable. If so, give...

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.

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