The random variables X and Y are jointly continuous, with a joint PDF of the form fX, Y(x, y)={cxy,0,if 0≤x≤y≤1,otherwise, where c is a normalizing constant. For x∈[0,0.5] , the conditional PDF fX|Y(x|0.5) is of the form axb . Find a and b .

The value of a and b are 8 and 1 respectively

Step-by-step explanation:

Conditional pdf of

Normalizing pdf of 1

We are given that PDF is of the form

So, on comparing 8x with

So, a = 8 , b = 1

So, the value of a and b are 8 and 1 respectively

b

step-by-step explanation:

the total is 23.97. 0.25% is off so you have to subtracting 25% from 100% and you will get 75% if you convert it to decimal you will get 0.75. you have to find the original because the formula is % times original = total.so you have the total and the % so you just have to plug it in.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.