Question

g Builtrite has calculated the average cash flow to be $16,000 with a standard deviation of $4000. What is the probability of a cash flow being greater than $11,000? (Assume a normal distribution.)

Answer 1

Answer:

89.44%

Explanation:

As we know that:

Z = (Cash Flow - Mean) / Standard Deviation

Here

Cash flow is the observed value which is the lower limit here and is $11,000

Mean is the average value of the sample and is $16,000

Standard Deviation is $4,000

By putting values, we have:

Z = ($11,000 - $16,000) / $4,000

= -1.25

The Z value lower than -1.25 is 0.1056 or 10.56%

This means that the probability of cash flow lower than $11,000 is 10.56% and the probability of cash flow greater than $11,000 will be

Probability of cash flow = (1- 0.1056) = 0.8944  which is 89.44%