Question

In: Statistics and Probability

study on aggressive driving found that 43 % of drivers say that they have yelled at...

study on aggressive driving found that 43 % of drivers say that they have yelled at another driver. A random sample of 280 drivers in Halifax is selected and are asked whether they have yelled at other drivers.

1. What is the distribution of the number of sampled drivers who will say ”yes”, they have yelled at another driver? State only the name of the distribution.

2. What are the mean and standard deviation of the number of sampled drivers who will say "yes"?

The mean:

The standard deviation (Round to three decimals):

3. What is the probability that at least 135 drivers will say ”yes”, they have yelled at another driver? [Hint: use normal approximation]

4. What is the probability that at most 131 drivers will say ”yes”, they have yelled at another driver? [Hint: use normal approximation]

Expert Solution

1:

Let X is a random variable shows the number of drivers answered yes. Here X has binomial distribution with parameters as follow:

n = 280 and p=0.43

2:

3:

Using continuity correction factor, the probability that at least 135 drivers will say ”yes”, they have yelled at another driver is

4:

Using continuity correction factor, the probability that at most 131 drivers will say ”yes”, they have yelled at another driver is

orchestra answered 1 year ago

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