Question

Statistics held by the Road Safety Division of the police show that
78% pf drivers being tested for their license pass at thr first
attempt has Binomial distribution. If a group of 120 drivers are
tested in one centre in a year, calculate a) the mean and standard
deviation number of the drivers pass at the first attempt b) the
probability that more than 99 pass at the first attempt by using
Normal Approximation

Answer #1

Solution:

We are given:

a) The mean and standard deviation of the drivers pass at the first attempt is:

b) We are required to find:

Now using the continuity correction factor, we have:

Using the z-score formula, we have:

Now using the standard normal table, we have:

**Therefore, the probability that more than 99 pass at the
first attempt by using Normal Approximation is 0.0968**

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