A) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n for some constant A (n> 1). Find A. b) Let X be a continuous random variable that can assume values between 0 and 3, and assume its density function is fx(x)- B(x2 +1) with some constant B (0< x ,3). Find B.

a) The value of A = 2

b) The value of

Step-by-step explanation:

a)

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; for some constant A and n ≥ 1.

Then, let

This implies that:

A = 2

Thus, the value of A = 2

b)

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

where; B is constant.

Then, using the property of the probability density function:

Taking the integral, we have:

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

the answer is d

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!