In order from least to greatest ---- -2.15, -2.105, 17/7, 2.7
Answer:
A) 0 , B) 0.0199 , C) 200
Step-by-step explanation:
Let X denotes no. of computers fail on day
X ~ Bin (n = 4 , p = 0.05)
A] P (X = x) = (n c x) p^x q^n-x
P (X = 4) = (4 c 4) (0.005)^4 (0.995)^0
(0.05)^4 ~ 0
B] P (X <u>></u> 1) = 1 - P (X < 1) = 1 - P (X = 0)
1 - { ( 4 c 0) (0.005)^0 (0.995)^ 4 }
1 - (0.995)^ 4 ~ 0.0199
C] Let Y depict mean number of days until a specific computer fails
Y ~ Geom (p = 0.005)
Mean = E (Y) = 1/p = 1/0.05 = 200
$2500/2 = 1250. 1250/2 = 625. 625/2 = 312.5. 312.5/2 = 156.25. 156.25/2 = 78.125. 78.125/2 = 39.0625 Add all the end numbers up = 2460.9375. 2460.9375/2 = 1230.46875. 2460.9375 - 1230.46875 = 1230.46875. Therefore, she payed back 1230.46875, meaning she had 1230.46875 left in her account. Hope i helped! :D
