Please write the whole steps with explanation. Thank you. Exercises 125 Marks] The Probability Mass Function,...
#5 please 2. Find the probability distribution function for the random variable representing picking a random real number between -1 and 1. (This is a piecewise defined function.) 3. Compute the mean of the random variable with density function if x>0 ed f(r) = if r < 0. 0 4. Compute the mean of the random variable with density function 2e (1 - cos x) if x >0 if r<O. f (x) = 5 Compute the variance and standard deviation...
Please answer the following statistics problem and show all your steps thoroughly! Thank you! Question 5 (10 marks) Suppose that (X, Y) have joint probability function f(x,y) specified by the following table: f(x,y) 0 0.2 0.15 1 Х 2 0.3 0 1 0.1 0.1 3 0.05 0.1 у 2 a) (2 marks) Find the marginal distribution of X and Y (display in a table) b) (2 marks) Find the conditional distribution of Y given X=3. (display in a table)...
Verify that the distribution shown in table is a probability mass function. Calculate the expected value and variance of the random variable X using the probability mass function. X Pr(X) -0.5 0.20 2 0.10 5 0.70
6. Here is the graph of the probability density function (pdf) fx for a continuous random variable X 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 6 10 (a) Sketch the cumulative distribution function (cdf) of X. Label the vertical axis appropriately. (b) Which is larger, P(X 2) or P(X 6)? Explain how you know c) Which is larger, P(1.999 X 2.001) or P(5.999 s X .00)? Explain how you know (d) Which is larger, P(1s X S3) or P(5...
Please use matlab, post the code, and dont just write the code by hand. Thank you! 4 [3 points] Use the function f(x on the interval [5, 5] and the 11 points below to find a N-10 Lagrange polynomial, using MATLAB. You will need to write code for and plot the polynomial as a function of x, but you do not have to write the polynomials down by hand 5 0 2 3 4 5 f(x) | 0.0399 | 00623...
function: Suppose the random variable X has the following cunulative distribution 0 if-00<z<-8 0.1 if 8-6 0.71 if -1Kz<5 Parts (a) through (d) below will be hand-graded. See instructions in Question O of this assignment. a. Draw the cumulative distribution function. b. Find and draw the pmf of X. c. What is the expected value of X? Submit Answer Tries o/s d. What is the variance of X? Submit Answer Tries 0/5 e. What is P(X 2.5)? Submit Answer Tries...
PLEASE ANSWER ALL QUESTION 1 1 points Save Answer A random variable is a uniform random variable between 0 and 8. The probability density is 1/8, when 0<x<8 and O elsewhere. What is the probability that the random variable has a value greater than 2? QUESTION 2 1 points Save Answer The total area under a probability density curve of a continuous random variable is QUESTION 3 1 points Save Answer X is a continuous random variable with probability density...
For Exercises 3-15 to 3-18, verify that the following functions are probability mass functions, and determine the requested probabilities. 3-15. x 2 x)1/8 2/8 2/8 2/8 18 (a) P(Xs 1) (c) P(-1 X (b) P(X-2) (d) P(X--1 1) or X= 2) 3-28. The data from 250 endothermic reactions involving sodium bicarbonate are summarized as follow Final Temperature Conditions 266 K 271 K 274 K Number of Reactions 70 80 100 33. Determine the cumulative distribution function for the random variable...
2. Counting cards in blackjack (as seen in movies such as Rainman, The Hangover and 21) consists in keeping track of a count: the higher the count, the more likely it is for the next card drawn to be a high card. One version of this uses the following setup: . the cards 2, 3, 4, 5, 6 are given the value +1, e the cards 7, 8, 9 are given the value 0, e the cards 10, J, Q,...
The humidity level, X, in Tropicana Field in Tampa at the time of a night game ranges from 40% to 100 %. (.40 to 1.00) The random variable X has cumulative distribution F with the following definition: F(x) 0 for x < 40, F(x)= 5(X-.4)(2-x) for .4 s x 1.0, F(x)=1 for x 2 1.0. a) What is the probability density function for X for .4 s xs 1.0? 1-5(x-4)(2-x) 5(2-x)+5(x-0.4) 5(2-x)-5(x-0.4) Odnorm(x,2,.4 b) What is the probability that X>0.5?...