Question

Hypoglycemia is the most common serious side effect of insulin. It occurs in approximately 16% of Type I and 10% of Type II diabetic patients. Consider a sample of 100 Type II diabetics taking insulin. Round to 4 decimal places

(a) P (more than 16 having hypoglycemia) =

Answer 1

To find the probability of more than 16 Type II diabetics having hypoglycemia, you can use the concept of binomial distribution. Use the formula P(X > x) = 1 - P(X <= x), where X is the number of Type II diabetics having hypoglycemia.

Step-by-step explanation:

To find the probability of more than 16 Type II diabetics having hypoglycemia, we can use the concept of binomial distribution. The formula for probability in a binomial distribution is P(X > x) = 1 - P(X <= x), where X is the number of Type II diabetics having hypoglycemia. In this case, x = 16.

We can use a binomial probability calculator to find the probability. Plugging in the values, we get P(X > 16) = 1 - P(X <= 16) = 1 - (P(X = 0) + P(X = 1) + ... + P(X = 16)).

Using the formula P(X = k) = (n choose k) * p^k * (1 - p)^(n - k), where n is the sample size, p is the probability of success, and k is the number of successes, we can calculate the probabilities for each k and add them up.