Question

A recent survey found that 40% of all air traffic controllers found their jobs extremely stressful....

A recent survey found that 40% of all air traffic controllers found their jobs extremely stressful. Suppose 12 air traffic controllers are selected at random.

A) what is the probability that exactly 5 of them consider their job extremely stressful?

B) what is the probability that 2 or more of them consider their job extremely stressful?

Math   Statistics-And-Probability   
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Answer #1

The probability that a randomly selected air traffic controller found his jobs extremely stressful = 0.4

Let X denotes the number of air traffic controllers who found their jobs extremely stressful out of 12 selected air traffic controllers.

X ~ Binomial(12, 0.4)

The probability mass function of X is

a) The probability that exactly 5 of them consider their job extremely stressful

b) The probability that 2 or more of them consider their job extremely stressful

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