5. (20 pts) Determine the expectation, variance, standard deviation, cumulative distribution function (c.d.f.), and median for...
(20 pts) Determine the expectation, variance, standard deviation, cumulative distribution function (c.d.f.), and median for each of the following: (c) f(x) for 40 〈 x 〈 100 (d) f(x) = 2e-x/2 for x > 0 _ 60
(25 pts) Determine the expectation, variance, standard deviation, and cumulative distribution function (c.d.f.) for each of the following: 0 f(x)0.44 0.360.150.04 0.01 (b) f(x) = f for x = 1, 2, 3, 4 (c) f(x)-345 for1,2,4,5 d) A random variable that represents the outcome of rolling one (fair) die. (e) A random variable that represents the outcome of rolling two (fair) dice.
Determine the expectation, variance, standard deviation, and cumulative distribution function (c.d.f.) for each of the following: (a) x 0 1 2 3 4 f(x) 0.44 0.36 0.15 0.04 0.01 (b) f(x) = x 10 for x = 1, 2, 3, 4 (c) f(x) = 2 5x2−30x+45 for x = 1, 2, 4, 5 (d) A random variable that represents the outcome of rolling one (fair) die. (e) A random variable that represents the outcome of rolling two (fair) dice.
PART E ONLY 2. (25 pts) Determine the expectation, variance, standard deviation, and cumulative distribution function (c.d.f.) for each of the following: f(x)0.44 0.36 0.15 0.04 0.01 (b) f(x) = 끊 for z = 1, 2, 3, 4 (c) f(x) = 5F-302145 (d) A random variable that represents the outcome of rolling one (fair) die. (e) A random variable that represents the outcome of rolling two (fair) dice for 1,2,4,5
2. Calculate multiplier k. Find mode Mo), median Me(x), mathematical expectation (the mean) M(x), variance (dispersion) D(x) and standard error σ(x) for continuous distributions having the given probability densities a) b) (x+9)2 0 x <-18 ρ(x) =-k= e 18 2π 0 x >0 Find asymmetry coefficient As() and excess Exa). Find distribution function f(x) and calculate probability that x -99].
2. Calculate multiplier k. Find mode Mo(x), median Me(x), mathematical expectation (the mean) M(x), variance (dispersion) D(x) and standard error σ(x) for continuous distributions having the given probability densities a) b) 0 x <-8 (x-4)2 0 x>0 Find asymmetry coefficient As(x) and excess Excx). Find distribution function f(x) and calculate probability that x e[-4:4]
PLEASE SHOW ALL WORK 10. The cumulative distribution function (c.d.f) of a random variable X is given by 1- Faro, -1/2, 1 0 otherwise. What is the probability that X will take a value greater than 2? A. 0.269 B. 0.950 C. 0.500 D. 0.368
8. Suppose the cumulative distribution function is F(x) {1-12 x21j. (3pts) Find the median, i.e. find x such that P(X x) = 0.5. a. b. (3pts) Find P(X > 2)
(15 pts) Determine the missing value(s) that would make the following valid probability distributions. f (x)-a + bx if 0 3 x <6. E(X) 2. Find a and b. (25 pts) Determine the expectation, variance, standard deviation, and cumulative distribution function (c.d.f) for each of the following: A random variable that represents the outcome of rolling two (fair) dice. (10 pts) In a game, a player flips a coin three times. The player wins S3 for every head that turns...
Determine the mean, median, and standard deviation of the following frequency distribution: (Round the final answers to 2 decimal places.) Class Frequency 0 to under 5 5 to under 10 10 to under 15 15 to under 20 20 to under 25 4 Mean Median Standard deviation