$15.08 because $45.24 ÷ 3
Answer: 0.3741
Step-by-step explanation:
Poison probability ;
P(x) = [U(^x) e(^-U)] ÷ x!
Where U = mean
Note: e = exponential symbol
Number of checks that year = 171
Number of days in a year = 365
U = 171/365 = 0.468
Average checks per day = 0.4685
Probability that at least one check was written per day is can be calculated by;
P(not 0) = 1 - P(0)
Therefore,
P(x) = [U(^x) e(^-U)] ÷ x!
P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!
P(0) = [ 1 * 0.6259] ÷ 1
P(0) = 0.6259
Therefore,
P(not 0) = 1 - 0.6259 = 0.3741
3 weeks = 21 days
Let Jerrad's vacation be X then Max's be 2X and Wesley's 4X
X+2X+4X=21
7X=21 devide by 7
X=3 so Jerrad had 3 days vacation
2*3= 6 Max had 6 days
4*3=12 Wesley had 12 days vacation
