Answer:
a) P ( 3 ≤X≤ 5 ) = 0.02619
b) E(X) = 1
Step-by-step explanation:
Given:
- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:
Find:
a.Calculate the probability that 3 ≤X≤ 5
b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that
Solution:
- The CDF gives the probability of (X < x) for any value of x. So to compute the P ( 3 ≤X≤ 5 ) we will set the limits.
- The Expected Value can be determined by sum to infinity of CDF:
E(X) = Σ ( 1 - F(X) )
E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]
E(X) = 1
Divide numerator and denominator by the value which is equal to denominator...
Answer:
x = 12. 4¯
(the 4 is supposed to be under the line)
The line sgnifies that the number goes on forever, such as
12.444444444444 and so forth
anyways, youre going to use "cross multiply and divide" which means you multipy the two number on one side top, and the other bottom. Make sure its the one that does have the x!
I multipled 7 * 8 which equals 56, and the leftover number, which is 4.5 is what i divide. When we divide that we get our answer, which is x.
Hope this helped!!
Step-by-step explanation:
Answer:
Factors that will affect the weight of box and those which will not affect the weight have been described below under different headings-
Step-by-step explanation:
Factors affecting weight of the box -
- Size - the larger the will be the size of the box, more will be its weight.
- Material - the material used to make the box will also influence the weight because if lighter material is used then the weight of the box will be less as compared to the heavier material.
- Contents inside the box - if there are more contents filled in the box then it will increase the weight of box.
Factors that will not affect the weight of box -
- Colour - whatever be the colour of box, weight will not be influenced by it.
- Shape - the shape will also have no effect on weight cause it only denotes how the material is arranged to make the box.
- Design/Graphics - designs made on the box to make it more attractive will also have no effect on the weight of the box.
