CANDIDATE A
18-34 53.7%
35-64 37.3%
65+ 8.9%
CANDIDATE B
18-34 17.6%
35-64 47.1%
65+ 35.3%
Answer:
t = -1 or 5/2
Step-by-step explanation:
To find t; we equate H(t) = 0
-16t^2+24t+40.0= 0
dividing through by 8 we have ;
-16t^2 / 8+ 24t/8+40.0/8=0
-2t^2 + 3t + 5=0
-2t^2 + 5t -2t + 5=0
By factorisation;
t(-2t + 5) +1 (-2t + 5)=0
This means;
(t + 1)(-2t +5)= 0
t + 1 = 0 or -2t + 5 = 0;
t= -1 ; -2t = -5
2t = 5
t = 5/2;
Hence t = -1 or 5/2
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