Question

Consider the probability that at least 77 out of 120 people will get the flu this winter. Assume the probability that a given person will get the flu this winter is 96%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

Answer 1

Answer:

Normal curve cannot be used as an approximation to the binomial probability.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 120

Probability person will get flu = 96% = 0.96

Condition for approximation to binomial distribution:

$np > 5\\n(1-p) > 5$

Verifying the conditions:

$120(0.96) = 115.2>5\\120(1-0.96) = 4.8 \not> 5$

Thus, the second condition is not satisfied.

Hence, normal curve cannot be used as an approximation to the binomial probability.