2. The following table gives the cumulative distribution function (cdf) of a discrete random variable X.I1234 5 6 7F(x) 0.12 0.23 0.34 0.68 0.75 0.88 1Determine all of the following:(a.) P(X > 3)(b.) P(X= 4)(c.) What value of X is least likely to occur?(d.) What is the probability mass function of X?(e.) Find ux.(f.) Find o.

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Answered: 2. The following table gives 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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Consider the table below gives the probabilities of the distribution of random variable X. Value of X P(X=x) (denoted by x) f(x) 0 1 2 3 4 567 00 8 0.14 b C 0.10 0.13 0.13 d 0.02 0.01 In reference to the table, suppose that b = f(1) =0.2 and c = f(2)= 0.06. What is the probability P(X ≥ 4) equal to?
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 18 15 19 13 11 15 18 15 12 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X = S = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. О Но: и 3D 14;B Hі: и 14; Hі: и %3D 14 Но: и 14 О Но: и 3D 14;B Hi: и # 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and o is…
O Three uncorrelated random variables X1, X, andX3 have means 1, - 3 and 1.5 and second moments 2.5, 11 and 3.5 respectively. Let Y = X1- 2X2+ 3X3 be a new random variable. Find (a) mean value (b) variance of Y.
Let X be the random variable with the following distribution: x: 1 2 3 4 5 P(X=x): k 0.04 0.3 0.2 0.3 Find the mean four decimal places
Q3. A random variable X is normally distributed with µ= 50 and o² = 25 . Find the %3D Probability (a) that it will fall between (i) 0 and 40 (ii) 55 and 100 (b) that it will be (i) large than 54 (ii) smaller than 57
1. A random variable x has the following distribution. Find the following: a. Missing entry for p(7) b. P(1< x <=4) c. P(3<= x <= 7) d. P(x>2) Using this table find the answers x 1 2 3 4 5 6 7 8 p(x) 0.05 0.10 0.20 0.05 0.10 0.20 0.10
Let X1, X2, ... be a sequence of random variables with finite mean u and non-zero variance o?. Let S, = X;. Which random variable has meanequal to 0 and variance - equal to 1? Select one: S-np O a. Zn Vno Sn-H O b. Zn Vno O c. Zn Vño O d. Zn Vno
26 - The random variable Z has a standard normal distribution. Which of the following is the z value such that P(Z<z)=0.1379? a) 1.09 B) -0.05 NS) -2.11 D) -1.09 TO) 2.11

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2. The following table gives the cumulative distribution function (cdf) of a discrete random variable X. x 12 3 4 5 6 7 F(x) 0.12 0.23 0.34 0.68 0.75 0.88 1 Determine all of the following: (a.) P(X≥ 3) (b.) P(X= 4) (c.) What value of X is least likely to occur?