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Answer:
The probability that 121 or more Americans in the survey are afraid to fly is 0.1335.
Step-by-step explanation:
Let <em>X</em> denote the number of Americans afraid to fly.
The proportion of Americans afraid to fly is, <em>p</em> = 0.10/
A random sample of <em>n</em> = 1100 Americans are selected.
The random variable X follows a Binomial distribution with parameters n = 1100 and p = 0.10.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
Compute the probability that 121 or more Americans in the survey are afraid to fly as follows:
Thus, the probability that 121 or more Americans in the survey are afraid to fly is 0.1335.