Answered: 6. Suppose XX follows the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. Suppose X₁, ..., Xn are iid from a distribution with the pdf (e-(2-0) x > 0 f(x; 0) = for some 0 € R. Find the MLE of 0. 34 35 We went PATRULLA 15 2 271 34000 3 envelar 05352 25000- 0 otherwise
5.65. Find the mean µ, variance o², and standard deviation o of each distribution: 2 3 8 (a) (b) X f(x) X f(x) 1/4 -2 1/3 1/2 1/4 -1 7 1/2 1/6
Not sure how to answer questions C through E. Suppose that X has a (continuous) uniform distribution between 10 and 20 (a) Compute E (X). (b) Compute Var (X). (c) Compute P (X < 12). (d) Compute P (X > 12). (e) Compute P (X < 8 or X > 22).
3: Find the theoretical frequencies, by using a suitable distribution X 0 1 2 3 4P(X) 21 / 462 140 / 462 210 / 462 84 / 462 7 / 462
Let u = 44. A sample of 15 provided a sample mean xbar = 41 and a sample standard deviation s = 3.7 . Find P (xbar = 41). a. 0.001 < P (xbar < 41) < 0.0025 b. 0.0025 < P (xbar < 41) < 0.005 c. 0.02 < P (xbar < 41) < 0.025 d. 0.05 < P (xbar < 41) < 0.10
The profits of a mobile company are normally distributed with Mean of R.O (180) and standard deviatic of R.O (8). a. Find the probability that a randomly selected mobile has a profit greaterthan R.O ( 190). b. Any mobile phone which profit is greater than R.O (190) is defined as expensive. Find the probability that a randomly selected mobile has aprofit greaterthan R.O ( (200) given that it is expensive. Half of expensivemobile phones have aprofit greaterthan R.O h. Find the value of h. C.
Q2. The sampling distribution of means tends toward Normality only when the underlying populations is Normal. This is true of Central Limit Theorem. TrueB. FalseC. None of the above
2.Suppose that the return R (in dollars per share) of a stock has the uniform distribution on the interval [-3,7]. Suppose also, that each share of the stock costs $1.50. Let Y be the net return (total return minus cost) on an investment of 10 shares of the stocks. Compute E(Y).
5.2.1 The conditional probability distribution of Y given X = x is fy.0) = xe-y for y> 0, and the marginal probability distribution of X is a continuous uniform distribution over 0 to 10. a. Graph fyv) = xe¬w for y > 0 for several values of x. Determine: b. P(Y < 2|X = 2) d. E(Y |X = x) f. fr(y) c. E(Y | X = 2) e. fxy(x, y)
Q 4.3. A fair die is rolled until a 6 is obtained. Let Y be the total number of rolls and X the number of 1s. 1. Compute the distribution of Y. 2. For a fixed k ≥ 1, find the distribution of X given Y = k. 3. Compute E(X) and Var(X).
Suppose that follows a chi-square distribution with 18 degrees of freedom. Use the ALEKS calculator to answer the following. (a) Compute P(x² k) = 0.05. Round your answer to at least two decimal places. k=0

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6. Suppose XX follows the tt-distribution with 5 degrees of freedom: X∼t(5)X∼t(5). Find P(−0.5