Question

Asked Mar 12, 2019

d,e,f

Step 1

**Standard normal distribution:**

The standard normal distribution is a special case of normal distribution. The standard normal distribution will have mean 0 and standard deviation 1. If a random variable *y *follows normal distribution with mean (m) and standard deviation (s), then the standard normal variable *z *will be as given below:

Step 2

**d.**

**Find the value of x_{0} for which P(41 ≤ **

The random variable *x *follows normal distribution with mean 50 and standard deviation 3.

That is, m = 50 and s = 3.

The value of *x*_{0} for which *P*(41 ≤ *x *≤ *x*_{0}) = 0.8630 is obtained as **53.3** from the calculation given below:

Step 3

**e.**

**Find the value of x0 where 10% of the value x are less than x0:**

The value of *x*0 where 10% of the value *x *are less than *x*0 is obtained as **46.16** ...

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