Answer:
a) c=3/4
b) for -1<x<1
F(x) = (3/4) ( x + (2-x^3)/3 )
c)
E(x)=0
Var(x) = 1/5
Step-by-step explanation:
Hi!
a)
In order to f(x) be a probability density function it must be normalized, which means that its integral must be equal to 1:
Since f(x) is zero for x>1 and x<-1
Therefore:
c=3/4
b)
The cumulative distribution fucntion F(x) can be obtained integrating f(x) from -∞ to x:
Since f(x) = 0 for x<-1
F(x) = 0 for x<-1
for -1<x<1:
for x>1
F(x)=1
c)
The mean E(x) can be found integrating xf(x)
We can easily infer that the mean must be zero, since f(x) is an even function and thus xf(x) is an odd function integrated in a simetric interval:
E(x) = 0
The variance of x, Var(x), can be evaluated integrating (x-E(x))^2f(x), since E(x)=0:
Since c=3/4
Var(x) = 1/5
Answer:
I think its
y=32
x=5
If I'm wrong, I am so sorry! I am just getting started, and I just wanted to help you
Step-by-step explanation:
The answer to the math probability question you are presenting above would be .475 or (47.5%). The value of 3 years multiplied by 1000 would equal to 3000, thus the person will listen to music 3000 hours a year - which is two standard deviations than the mean. Following the empirical rule, the answer would be .475.
Answer:
1215 minutes are the possible numbers he has used his phone in a month.
Step-by-step explanation:
He has a monthly fee of 14$ then to the least that he has been charged we need to substract the monthly fee as follows:
Monthly charged = 74,75-14
Monthly charged= 60,75$
Then he pays an additional 0,05 $/minute of use, to know the consume:
Minutes= 
Minutes= 1215 possible numbers of minutes he has used his phone.
-12.6 as a percent is -1260%
