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
Answer:
a)9:7 b) 9:16 c) 7:16
Step-by-step explanation:
the no of girls (320-180)=140
a) ratio of no of boys and girls=180/140=9/7=9:7
b)ratio of boys and total pupil=180/320=9/16=9:16
c) ratio of the girls and pupils=140/320=7/16=7:16
Answer:
110
Step-by-step explanation:
y = 11/6x where x is in minutes
there are 60 minutes in an hour
plug in 60 as x
11/6 *60 = 11*10 = 110
Ahhh bet your a female right?
Answer:
400-25π
Step-by-step explanation:
The circle and square have a radius of 10. Calculate the are of the circle, then divide by 4. Find the area of the square, then subtract the area from the area of the quarter circle you found previously.