Question

A Uniform[0, 10] is a continuous random variable Y which assumes any value between [0, 10]...

A Uniform[0, 10] is a continuous random variable Y which assumes any value between [0, 10] with equal chance, with density f(y) = 1/10 for all y ∈ [0, 10] and zero everywhere else. Check that it satisfies the properties that a density function should have. Find its distribution function F(y) for all y ∈ (−∞,∞) and show that it satisfies the properties that a distribution function should have.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
WILL LIKE POST!!!!! 2. A continuous uniform random variable defined between 0 and 12 has a...
WILL LIKE POST!!!!! 2. A continuous uniform random variable defined between 0 and 12 has a variance of: Select one: a. 12 b. 24 c. 144 d. 6 5.A probability plot shows: Select one: a. Percentile values and best fit distribution. b. Percentile values of a proposed distribution and the sample percentages. c. Percentile values of a proposed distribution and the corresponding measurements. d. Sample percentages and percentile values. 7. Consider a joint probability function for discrete random variables X...
a continuous random variable X has a uniform distribution for 0<X<40 draw the graph of the...
a continuous random variable X has a uniform distribution for 0<X<40 draw the graph of the probability density function find p(X=27) find p(X greater than or equal to 27)
a) Suppose that X is a uniform continuous random variable where 0 < x < 5....
a) Suppose that X is a uniform continuous random variable where 0 < x < 5. Find the pdf f(x) and use it to find P(2 < x < 3.5). b) Suppose that Y has an exponential distribution with mean 20. Find the pdf f(y) and use it to compute P(18 < Y < 23). c) Let X be a beta random variable a = 2 and b = 3. Find P(0.25 < X < 0.50)
1. For which type of continuous distribution are the mean and the median always the same?...
1. For which type of continuous distribution are the mean and the median always the same? uniform and normal distributions only all of the above uniform distribution exponential distribution normal distribution 2. The skewness of a normal distribution is: negative zero positive something that varies 3. The standard normal probability distribution has a mean of ______ and a standard deviation of ______. 0, 1 1, 0 1, 1 0, 0 4. Any normal probability distribution can be converted to a...
A joint density function of the continuous random variables x and y is a function f(x,...
A joint density function of the continuous random variables x and y is a function f(x, y) satisfying the following properties. f(x, y) ≥ 0 for all (x, y) ∞ −∞ ∞ f(x, y) dA = 1 −∞ P[(x, y)  R] =    R f(x, y) dA Show that the function is a joint density function and find the required probability. f(x, y) = 1 8 ,   0 ≤ x ≤ 1, 1 ≤ y ≤ 9 0,   elsewhere P(0 ≤...
Y is a continuous random variable with a probability density function f(y)=a+by and 0<y<1. Given E(Y^2)=1/6,...
Y is a continuous random variable with a probability density function f(y)=a+by and 0<y<1. Given E(Y^2)=1/6, Find: i) a and b. ii) the moment generating function of Y. M(t)=?
A continuous random variable X has the following probability density function F(x) = cx^3, 0<x<2 and...
A continuous random variable X has the following probability density function F(x) = cx^3, 0<x<2 and 0 otherwise (a) Find the value c such that f(x) is indeed a density function. (b) Write out the cumulative distribution function of X. (c) P(1 < X < 3) =? (d) Write out the mean and variance of X. (e) Let Y be another continuous random variable such that  when 0 < X < 2, and 0 otherwise. Calculate the mean of Y.
A random variable Y follows a continuous uniform distribution from 0 to 4.   Express each question...
A random variable Y follows a continuous uniform distribution from 0 to 4.   Express each question using proper probability notation. Find probability by applying the area law i.e. draw the distribution, mark the event, shade the area, find the amount of shaded area. What is the probability random variable Y takes a value less than 3.2? P[Y < 3.2] =   What is the probability random variable Y falls below 1.2? P[Y < 1.2] =   What is the probability random variable...
Let X be a continuous random variable with a density function which is symmetric about 0....
Let X be a continuous random variable with a density function which is symmetric about 0. Show that E(X) = 0.
10pts) Let Y be a continuous random variable with density function f(y) = 1 2 e...
10pts) Let Y be a continuous random variable with density function f(y) = 1 2 e −|y| , −∞ < y < ∞ 0, elsewhere (a) Find the moment-generating function of Y . (b) Use the moment-generating function you find in (a) to find the V (Y ).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT