Let X - Geometric(p). Find EX by conditioning on the result of the first "coin toss.

Count the number of ways to get 12 by the 5-dice, i.e., to represent 12 = x₁ + x₂ + x3 + X4 + X5, where 1 ≤ x ≤ 6 (1+2+3+4+3 is different from 2+1+3+3+4).

Suppose that if a person travels to Europe for thefirst time, the probability that he will see London is 0.70, the probability that he will see Paris is 0.64, the proba-bility that he will see Rome is 0.58, the probability that he will see Amsterdam is 0.58, the probability that hewill see London and Paris is 0.45, the probability that hewill see London and Rome is 0.42, the probability that he will see London and Amsterdam is 0.41, the probabil-ity that he will see Paris and Rome is 0.35, the probability that he will see Paris and Amsterdam is 0.39, the proba-bility that he will see Rome and Amsterdam is 0.32, the probability that he will see London, Paris, and Rome is0.23, the probability that he will see London, Paris, and Amsterdam is 0.26, the probability that he will see Lon-don, Rome, and Amsterdam is 0.21, the probability that he will see Paris, Rome, and Amsterdam is 0.20, and theprobability that he will see all four of these cities is 0.12.What is the probability that a…

A number is chosen randomly from the first 25 natural numbers (1 to 25). If event A={a multiple of 4), what is the value of P(A')? Write you answer in decimal form.

We randomly create strings that contain n zeros and k ones. What is the probability of obtaining the string where no ones occurs together?

please help dont copy from google

D) Are the events male cheated and female right independent? Show the computations needed to justify your answer.

5Suppose that in the first half of a certain season, Dustin Pedroia of the Boston Red Sox batted .300 while Mike Napoli batted only .275. And further suppose that in the seocnd half, Pedroia batted .250 while Napoli batted only .240. Someone claims that Napoli had a higher batting average for the entire season than Pedroia. Is that possible, or must the claim be rejected outright?