Answer:
<u>37.5 parcels </u>in 5 minutes. Round down to 37, if required for the purpose of the calculation.
Step-by-step explanation:
Let M and K be the rates Michael and Kate can pack parcels, in parcels/minute, or p/m.
M = (10/3)p/m
K = (7/2)p/m
When they work together for 5 minutes, we can calculate the numbers of parcels each pack.
Michael: ((10/3)p/m)*(5m) = 20 p
Kate: ((7/2)p/m)*(5m) = 17.5 p
Total = 37.5 parcels
20
This is a binomial distribution
n = 100; p = 1/5
E(x) = np = (100)(1/5) = 20
