g Find the mean and the variance of the random variable X with probability function or density f(x) of a uniform distribution on [0, 8].

E(X) = 4

              V(X) =

Step-by-step explanation: An uniform distribution is a random variable X restricted to a finite interval [a,b] and has a constant function f(x) over this interval, i.e., the function is of form:

f(x) =  

The mean or expectation of an unifrom distribution is:

E(X) =

For the density function in interval [0,8], expectation value is:

E(X) =

E(X) =

E(X) =

E(X) =

E(X) =

E(X) = 4

Variance of a probability distribution can be written as:

V(X) =

For uniform distribution in interval [0,8]:

V(X) =

V(X) =

V(X) =

V(X) =

V(X) = - 16

V(X) =

The mean and variance are 4 and 16/3, respectively

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.