Answer:

Step-by-step explanation:
For
, we have two cases:

Using this, we can solve all four of the problems:




Answer:
0.5217
Step-by-step explanation:
Given that:
mean
= 5.8
Using Poisson Probability formula:


![= 1-[P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)]](https://tex.z-dn.net/?f=%3D%201-%5BP%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%3D2%29%2BP%28X%3D3%29%2BP%28X%3D4%29%2BP%28X%3D5%29%5D)
![= 1 -[\frac{(e^{-5.8}*5.8^0) }{ 0! } + \frac{(e^{-5.8}*5.8^1) }{ 1! } +\frac{(e^{-5.8}*5.8^2) }{ 2! } +\frac{(e^{-5.8}*5.8^3) }{ 3! } +\frac{(e^{-5.8}*5.8^4) }{ 4! } +\frac{(e^{-5.8}*5.8^5) }{ 5! } ]](https://tex.z-dn.net/?f=%3D%201%20-%5B%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E0%29%20%20%20%20%7D%7B%200%21%20%20%20%7D%20%2B%20%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E1%29%20%20%20%20%7D%7B%201%21%20%20%20%7D%20%2B%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E2%29%20%20%20%20%7D%7B%202%21%20%20%20%7D%20%2B%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E3%29%20%20%20%20%7D%7B%203%21%20%20%20%7D%20%2B%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E4%29%20%20%20%20%7D%7B%204%21%20%20%20%7D%20%2B%5Cfrac%7B%28e%5E%7B-5.8%7D%2A5.8%5E5%29%20%20%20%20%7D%7B%205%21%20%20%20%7D%20%5D)



∴ the probability that, in any hour, more than 5 customers will arrive =0.5217
4 products are being purchased.
Step-by-step explanation:
Given,
Time taken to select each product = 5 seconds
Time taken to complete check out process = 60 seconds
Total time taken for a transaction = 80 seconds
Let,
x be the number of products purchased.
Time taken for each product*Number of product + Time for check out process = total process

Dividing both sides by 5

4 products are being purchased.
Keywords: variable, division
Learn more about division at:
#LearnwithBrainly
Answer:
$15 is 37.5% of $40.
Step-by-step explanation:
The answer is additive property