4. (5 PTS) Data show that 7% of children in the general population have ear tubes by the age of 3. (Note: ear tubes are used for children with constant ear infections to help drain fluid from the ear so as to prevent or decrease infection.)

A simple random sample of n=150 children (3 years old) was taken from a county where there is a lack of medical access and facilities. From this sample, it was found that only 4 children had ear tubes.

4a)What type of distribution does X (the number of children with ear tubes) have? You do not have to include the verification of the criteria. [Hint: X~_____ (______, ______)]

4b)What is the=E(X)?

What is thethe standard deviation of X?

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4c) What is the probability of seeing 4 or fewer children with ear tubes from this sample? Does this probability seem unusual?

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