Question

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 probability that the level of support for corporate sustainability of a randomly selected senior manager is less than 40 points:**

Denote the random variable *x *as level of support for corporate sustainability.

Given that the variable *x *follows normal distribution with mean 67.755 and standard deviation 26.871.

That is, *E*(*x*) = 67.755 and *S.D*(*x*) = 26.871.

Here, the requirement is that the level of support for corporate sustainability of a randomly selected senior manager should be less than 40 points.

That is, *x *< 40.

The probability that the level of support for corporate sustainability of a randomly selected senior manager is less than 40 points is obtained as **0.15151** from the calculation given below:

Step 3

**b.**

**Find the probability that the level of support for corporate sustainability of a randomly selected senior manager lies between 40 and 120 points:**

Here, the requirement is that the level of support for corporate sustainability of a randomly selected senior manager should lie between 40 and 120 points....

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