Math help me please you will be mark as the brainiest I do not have much time left
1 answer:
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Given:
Total cheese = 12 pound
Cheese in each package = pounds
To find:
The number of cheese packages.
Solution:
We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.
Therefore, there are 24 number of cheese packages.
Answer:
a) I would use the following distribution fir the amount of applicants arriving in a 20 minute period
b) In a 50 hour period, we will expect to need 0.4679*50 = 23.3948 hours with the extra staff member
Step-by-step explanation:
a) For a total amount of arrivals in a 20 minute period i would use a Poisson distribution with parameter λ = 1.5 (the average). The distribution X is given by this formula
b) For one hour, the average will be 1.5*60/20 = 4.5 applicants. The distribution Y for the amount of applicants in one hour is given by the following formula
First, we want to find the probability of Y being greater then or equal to 5. We can obtain the probability of the complementary event and substract it from 1. That event is equal to the probability of Y being equal to 0,1,2,3 or 4
P(Y=0) = e^{-4.5}
P(Y=1) = e^{-4.5}* 4.5
P(Y=2) = e^{-4.5} * 4.5²/2 = e^{-4.5} * 10.125
P(Y=3) = e^{-4.5} * 4.5³/6 = e^{-4.5} * 15.1875
P(Y=4) = e^{-4.5} * 4.5⁴/24 = e{-4.5} * 17.08594
Thus,
P(Y < 5) = P(Y=0)+P(Y=1)+P(Y=2)+P(Y=3)+P(Y=4) = e^{-4.5} * (1+4.5+10.125+15.1875+17.08594) = 0.5321
Therefore,
P(Y ≥ 5) = 1-0.5321 = 0.4679
In a 50 hour period, we will expect to need 0.4679*50 = 23.3948 hours with the extra staff member.