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:
47.1 cm
Step-by-step explanation:
The circumference of a circle is denoted by C = 2πr, where r is the radius.
Here, we see that the given radius is 7.5, so r = 7.5 cm. We also are given that we need to use the approximation 3.14 for π, so plug all these into the formula:
C = 2πr
C = 2 * 3.14 * 7.5 = 47.1
To round this to the nearest hundredth... well, there's no hundredth place, so we can leave this as is or just write 47.10 cm.
Thus, the circumference is 47.1 cm.
Answer:
The real solution is
.
Step-by-step explanation:
while 
So the equation becomes:



We know that
. So let's see what
gives us:
.
is the result we wanted.
is therefore a solution.
Answer:
150 CASH
Step-by-step explanation:
if you do 25 down and 12 dollar for 11 month you pay 7 more dollars