Answer:
a) 3/64 = 0.046 (4.6%)
b) 63/64 = 0.9843 (98.43%)
c) 1/64 = 0.015 (1.5%)
d) 1/4 = 0.25 (25%)
Step-by-step explanation:
in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then
∑f(x)*Δx = 1
if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...
then Δx=1 and
∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1
then f represents a probability mass function
a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)
b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)
c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)
d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)
Answer:
He didn’t have enough money for the groceries
Step-by-step explanation:
He started out with $10
He spent $3.49 on a gallon of milk
He spent $1.14 on 3 pounds of oranges each
He spent $3.46 on cereal
The total cost would be $10.37!
Answer:
( 
,
)
Step-by-step explanation:
The equation of a midpoint is as follows:
The x-coordinate:
x1 = 7, x2 = -8
7+(-8) = -1
Divide by 2 to get the x-midpoint
-1/2
The y-coordinate
y1 = -4, y2 = -5
-4 + (-5) = -9
Divide by 2 to get the y-midpoint
-9/2
You get:
( ,)
Answer:
the correct information is 15
