What is the difference between P(A|B) and P(A|B=x)?
What is the difference between RVs and events?
What is the difference between P(A|B) and P(A|B=x)? What is the difference between RVs and events?
X and Y are continuous RVs, both taking values between 0 and 2. If P(X<1 and Y<1) = 0.30 and P(X>1 and Y>1) = 0.35, what is P(X>1 and Y<1)
X and Y are continuous RVs, both taking values between 0 and 2. If P(X<1 and Y<1) = 0.30 and P(X>1 and Y>1) = 0.35, what is P(X>1 and Y<1)? 0.35 0.65 Not enough information 0.3
IS THIS CORRECT?
What is the difference between mutually exclusive events and collectively exhaustive events? Choose the correct choice below. O A. A set of events are mutually exclusive if the probability of each event in the set is not affected by the outcomes of the other events. A set of events are collectively exhaustive if at least one of the events must occur. OB. A set of events are mutually exclusive if they cannot occur at the same time....
(Sec 5.1) Suppose the joint pdf of two rvs X and Y is given by $15x2y for 0 < x sys1 f(x,y) = 10 otherwise (a) Verify that this is a valid pdf. (b) What is P(X+Y < 1)? (c) What is the probability that X is greater than .7? (Hint: it might help to find the marginal pdf first)
2. Let X and Y be independent integer-valued RVs with given distributions jezqj = 1. (a) Compute the probability P(X = IYI). (b) Compute the probability P(Y/X є Z).
2. Let X and Y be independent integer-valued RVs with given distributions jezqj = 1. (a) Compute the probability P(X = IYI). (b) Compute the probability P(Y/X є Z).
The symmetric difference of two events A and B, denoted by AΔB, is the set of outcomes which are in either of the events but not in their intersection. Using only the axioms of probability (finite additivity can be assumed), prove that P(AΔB) = P(A) + P(B) - 2P(A∩B).
If A and B are independent events, P(A)=0.11 , and P(B)=0.74 , what is P(B|A) ?
Classify the events as dependent or independent: Events A and B where P(A) = 0.5, P(B) = 0.2, and P(A and B) = 0.09 Independent or Dependent? 0.5 x 0.2=0.10 which does not equal 0.09, does this mean that the correct answer is dependent?
Consider two rvs Xand Ywith joint pdf f(x,y)-k-y, 0<y<x 1 Find the value of the pdf of U=X+ Y evaluated at u = 0.8. Hence, or otherwise, estimate P(0.8<XY<0.801)
Consider two rvs Xand Ywith joint pdf f(x,y)-k-y, 0
13. If the events X and Y are independent and P(X) = .4 and P(Y) = 5, what does P(XY) equal? (2) What is the probability of X or Y. (2) What is the conditional probability of Y given X? (2) If the events X and Y are independent and P(X) = .4 and P(Y)-3, what is the conditional probability of Y given X?(2) #4