Question

I. A child is picking fruit from a basket they can't see in. The basket contains 12 apples and 4 oranges. Which of the following would be considered a binomial random variable? Explain below what makes it binomial. Fruits are randomly selected, with replacement, until the child gets an apple. Let X the number of attempts it takes for the kid to get an apple. The child picks 3 fruits, one at a time with replacement, the number of apples and oranges is recorded. The child picks 3 fruits, one at a time with replacement, X = the number of apples the kid gets. The child picks 3 fruits, all at the same time with no replacement, X = the number of apples the kid gets. b. C. 'd

Answer 1

The random variable defined in c) is Binomial random variable.

As one fruit can be either apple or orange, so in one trial there are two possible outcomes only. Each trial is independent of other, since the process is done with replacement, and there are finite number of trials, as only 3 fruits are taken one at a time with replacement