Question

Asked Mar 12, 2019

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a.b.c

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

**a.**

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

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*(*x *≤ *x*_{0}) = 0.8413 is obtained as **53** from the calculation given below:

Step 3

**b.**

**Find the value of x0 for which P(x **>

The value of *x*0 for which *P*(*x *> *x*0) = 0.025 is obtained as **58.88** from the calculation g...

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