We would be looking at the first question here as:
Q1) We are given here that: P(accident) = 0.02
The probability that in 100 months, he will have at least one accident is computed here as:
= 1 - Probability of no accidents in 100 months
= 1 - (1 - 0.02)100
= 1 - 0.98100
= 0.8674
Therefore 0.8674 is the required probability here.
Show your work for each problem. 1) The probability of a driver will have an accident...
The probability distribution of random variable X is given below. What is E[X]? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable X is given below. What is σ2x? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable X is given below. Let Y = 4X − 5 be a new random variable. What is σ2y? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable...
1) a) Determine the probability distribution of the following base The Houston Astros and the Washington Nationals are getting ready to play a 3-game series. The probability Nationals win any individual game against the Astros is 40%. The outcome of every game in the series must end in the Nationals winning or losing there is no tying in baseball!), and every game outcome is independent of every other game outcome. Fill out the following probability distribution table for X, when...
1) Let ?? ∈ {−1,0,1} represet
the outcome of games that your favorit soccer team plays; −1 for a
loss, 0 for a tie and 1 for a win. Also, let ?? ∈ {0, 1} represent
whether the game was played at home (1) or away (0). The following
table shows the conditional probability of ??|??: ( picture)
a. Show whether ?? and ?? are independent or not.
b. If the proportion of games that the team plays away from...
Consider the random variable Y, whose probability density function is defined as: if 0 y1 2 y if 1 y < 2 fr(v) 0 otherwise (a) Determine the moment generating function of Y (b) Suppose the random variables X each have a continuous uniform distribution on [0,1 for i 1,2. Show that the random variable Z X1X2 has the same distribution = as the random variable Y defined above.
Consider the random variable Y, whose probability density function is defined...
please type your answer
Show all work, and staple your work together. Draw all trees. You take your significant other to the carnival. There are many games to play, each game costs $5. You have a chance to win a stuffed bear for your significant other. The games are as follows: A-You draw 1 card from a standard deck of 52 cards, and flip a coin. You win if the card is a CLUB or you get TAILS on the...
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Probability statistics problems
Answer all questions to get UPVOTE
Thanks
Let X have a logistic distribution with pdf f(x) = (1 + e-x)2 < r< 0. (1+e-x)2 (a) Show that Y=tex 1+e-x has a U(0,1) distribution. (b) Explain how you can generate random samples of X using uniform random samples over (0,1).
Suppose that random variables X and Y have a joint uniform distribution over the following range: 0 < y < x/3 < 1. a) Find the probability that Y > 1/2 b) Find the marginal density function fx(x)
Problem #7: Suppose that the random variables X and Y have the following joint probability density function. f(x, y) = ce-5x – 3y, 0 < y < x. (a) Find P(X < 2, Y < 1.). (b) Find the marginal probability distribution of X. Problem #7(a): Problem #7(b): Enter your answer as a symbolic function of x, as in these examples Do not include the range for x (which is x > 0).
The answer mean is 1/3, variance is 1/18
Problem 44.15 Suppose that X has a continuous distribution with pdf. fx (x) = 2x on (0,1) and 0 elsewhere. Suppose that Y is a continuous random variable such that the conditional distribution of Y given X- is uniform on the interval (0, x). Find the mean and variance of Y.
2. Suppose that (X,Y) has the following joint probability density function: f(x,y) = C if -1 <r< 1 and -1 <y<1, and 0 otherwise. Here is a constant. (a) Determine the value of C. (b) Are X and Y independent? (Explain why or why not.) (c) Calculate the probability that 2X - Y > 0 (d) Calculate the probability that |X+Y| < 2 3. Suppose that X1 and X2 are independent and each is standard uniform on (0,1]. Let Y...