Question

Asked Sep 22, 2019

Step 1

It is given that *n=48*, *p=0.4*.

The required binomial probability, *P(X=12)* can be obtained by entering the formula **‘=BINOM.DIST(12,48,0.4,FALSE)’ **in EXCEL software.

Step 2

The normal distribution can be approximate this probability because,

Here, *np(1–p)* =11.52 which is greater than or equal to 10.

Therefore, **Option D** is correct.

Now consider the mean and standard deviation of the normal distribution.

Step 3

Therefore, the random variable *X *follows normal distribution with mean **19.2** and standard deviation **3.4**.

The required normal probability, *P(X=12)* can be obta...

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