approximating normal distribution
Ten percent of Americans are allergic to ragweed. Suppose a random sample of 200 people is selected.
1. Identify n
2. Identify p (Round to 2 decimal places)
3. Identify 1 – p (Round to 2 decimal places)
4. Evaluate np and n(1 – p). Is it appropriate to use the
np = n(1 – p) = Enter Y or N
If your answer to part (d) above is “yes” answer the following questions.
5. What is the mean and standard deviation of the approximating normal distribution? (Round to 2 decimal places)
µ = σ =
6. Find the
7. Find the probability that at most 10 will be allergic to ragweed (Round to 4 decimal places)
8. Find the probability at least 10 will be allergic to ragweed (Round to 4 decimal places)
9. Find the probability that less than 10 will be allergic to ragweed (Round to 4 decimal places)
10. Find the probability that more than 10 will be allergic to ragweed (Round to 4 decimal places)
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