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In the scenario below, X is a count. You observe the sex of the next 40 children

ID: 3235432 • Letter: I

Question

In the scenario below, X is a count. You observe the sex of the next 40 children born at a local hospital, X is the number of girls among them. Does X have a Binomial distribution? no Yes Give your reasons. Mark all that apply. The trials are not independent of each other. The number of trials is not fixed. There are only two possible outcomes for each trial, girl or boy. There are a fixed number of trials, 40. The probability of the child being a girl changes from child to child. We assume the probability of each child being a girl is the same. There are several possible outcomes for each trial. The trials are Independent. In a taste test of a generic soda versus a brand name soda. 15% of tasters can distinguish between the colas, 35 tasters are asked to take the taste test contains the brand name soda. The tests are done independently in separate locations, so that the tasters do not interact with each other during the test. (a) The count of correct guesses in 35 taste tests has a Binomial distribution What are n and p?

Explanation / Answer

Yes, it is indeed binomial

The following are the reasons

Option 3: There are only two possibilities

Option 4: There are a fixed number of trials

Option 6: We assume probability of each child being a girl is same

Option 8: The trails are independent