In: Finance
Builtrite has calculated the average cash flow to be $16,000 with a standard deviation of $2,500. What is the probability of a cash flow being between $18,500 and $19,750? (Assume a normal distribution.)
Probability for 19750:
Particulars | Amount |
Expected Value | 19750.00 |
Mean Value | 16000.00 |
SD | 2500.00 |
Z = [ Expected Value - Mean Value ] / SD
= [ 19750 - 16000 ] / 2500
= [ 3750 ] / 2500
= 1.5
NT ( Z ) = NT (1.5 )
= 0.9332
I.e 93.32%
Probability for 18500 :
Particulars | Amount |
Expected Value | 18500.00 |
Mean Value | 16000.00 |
SD | 2500.00 |
Z = [ Expected Value - Mean Value ] / SD
= [ 18500 - 16000 ] / 2500
= [ 2500 ] / 2500
= 1
NT ( Z ) = NT (1 )
= 0.8413
I.e 84.13%
Probability of Cash flow between 18500 and 19750 = 93.32% - 84.13%
= 9.19%