Answer:
0.33
Step-by-step explanation:
Given the following :
P(speeding) = p(s) = 0.75
P(being stopped) = p(t)
P(speeding and gets stopped) = p(s n t) = 0.25
Find the probability that he is stopped, given that he is speeding is written as P(t | s) ;
P(t | s) = p(s n t) / p(s)
P(s n t) = 0.25
P(s) = 0.75
Hence,
P(t | s) = 0.25 / 0.75
P(t | s) = 0.33
Answer:
3
Step-by-step explanation:
the slope of the line is 3
Answer:
2 units of X and 5 units of Y
Step-by-step explanation:
(a) Utility is maximized when (MUx / Price of X) = (MUy / Price of Y)
This condition holds for the following cases
1. X = 4 (MUx / Px = 8 / 4 = 2) and Y = 6 (MUy / Px = 4 / 2 = 2)
2. X = 2 (MUx / Px = 16 / 4 = 4) and Y = 5 (MUy / Px = 8 / 2 = 4)
For the first case Total cost = 4 x $4 + 6 x $2 = $(16 + 12) = $28 (Budget is exceeded).
In the second scenario, Total cost = 2 x $4 + 5 x $2 = $(8 + 10) = $18 (budget is exhausted).
Optimal case contains X = 2 units, Y = 5 units.
Answer: 9 diagonals
Step-by-step explanation: