If the project is finished within 26 weeks of its start, the project manager will receive a bonus of $1,000; and if the project is finished within 27 weeks of its start, the bonus will be $500. Find the probability of each bonus. (Round Mean, Standard Deviation, z-value to 2 decimal places and Probability to 4 decimal places.) Path Mean Std. Dev. a-d-e-h 24.33 1.35 a-f-g 15.50 1.26 b-i-j-k 14.83 1.02 c-m-n-o 26.17 1.66 Probability ($1,000) .4099

(a) Probability of $1,000 bonus = 0.4099

(b) Probability of $500 bonus = 0.6742

1. path a-d-e-h

Mean = 24.33      Standard Deviation = 1.35         z-value = 1.23  

2. Path a-f-g

Mean =  15.50    Standard Deviation = 1.26  z-value =   8.35

3. Path  b-i-j-k

Mean = 14.83      Standard Deviation =  1.02 z-value =  11.02

4. Path c-m-n-o

Mean =  26.17   Standard Deviation = 1.66  z-value =  -0.10

Step-by-step explanation:

See the attached for the calculations

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .