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
i’m doing big ideas too smh. you will keep change flip. and change them to an improper fraction.
so improper fraction times (flipped) other fraction
√x + 11=15 x=16
√x= 15-11 x=16
Answer:
Car B has the better fuel economy.
Step-by-step explanation:
Calculate the fuel consumption for the two cars:
Car A: (450 km) / (40.5 L) = 1.11 km per L
Car B: (220 km) / (18.7 L) = 1.18 km per L
Car B goes further on one L of gasoline than Car A.