Question

In: Statistics and Probability

1 ) If a flight is on time 90% of the time, use a normal approximation...

1 ) If a flight is on time 90% of the time, use a normal approximation to the binomial to find the probability that between 175 and 190 out of a total of 200 flights will be on time.

2)- In a study done by Statistics Weekly, they found that 12% of people believe that there will eventually be a zombie apocalypse. Suppose we have a random sample of 500, would it be unusual to find 43 people who believe that there will eventually be a zombie apocalypse. Would it be unusual to find 70 people who believe that there will eventually be a zombie apocalypse?

in detail please

Solutions

Expert Solution

1) The normal approximation to Binomial distribution is .

The approximate distribution of number of flights on time is

The probability,

2) The normal approximation to the number of people who  believe that there will eventually be a zombie apocalypse is

The probability,

Since this probability is less than 0.05, it would be unusual to find 43 people who believe that there will eventually be a zombie apocalypse.

Similarly, for ,

Since this probability is less than 0.05, it would be unusual to find 70 people who believe that there will eventually be a zombie apocalypse.

orchestra answered 1 year ago
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