Question 1The random variable X has probability distribution as shown in the table.i.XP(X)10.320.35a0.250.16Obtain:ii. P(X=1or X = 5)iii. P(3

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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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The random variable X has the probability distribution table shown below. 8. 10 12 14 P(X = x) 0.2 0.2 a a 0.2 (a) Assuming P(X 10) = P(X = 12), find each of the missing values. a = (b) Calculate P(X > 10) and P(6 10) P(6 < X < 12) :
1) Assuming 6 degrees of freedom, find the following probability. P(T > 1.7) = 2) Assuming 16 degrees of freedom, find the following probability. P(T < – 2.024) =
In a survey of 1132 people, 760 people said they voted in a recent presidential election. Voting records show that 64% of eligible voters actually did vote. Given that 64% of eligible voters actually did vote, (a) find the próbáblity that among randomly selected voters, at least 760 actually did vote. (b) What do the results from part (a) suggest? (a) P(X2760) = (Round to four decimal places as needed.) (b) What does the result from part (a) suggest? A. People are being honest because the probability of P(x2 760) is less than 5%. B. People are being honest because the probability of P(x2 760) is at least 1%. C. Some people are being less than honest because P(x>760) is less than 5%. O D. Some people are being less than honest because P(x2760) is at least 1%.
The random variable X is related to e2. Find P(X>0.4).
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If X is distributed t2s then what is the probability X is less than or equal to 1.7(Pr (X ≤ 1.70))? 0.70 0.92 0.05 0.95
Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=56 p=0.5 x=30 A)For n=56, p=0.5, and X=30, use the binomial probability formula to find P(X). B)Can the normal distribution be used to approximate this probability? A. No, because np(1−p)≤10 B. Yes, because np(1−p)≥10 C. Yes, because np(1−p)≥10 D. No, because np(1−p)≤10 C) Approximate P(X) using the normal distribution. Use a standard normal distribution table. A. P(X)=enter your response here (Round to four decimal places as needed.) B. The normal distribution cannot be used. D) By how much do the exact and approximated probabilities differ? A.enter your response here (Round to four decimal places as needed.) B. The normal distribution cannot be used. E)By…
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A random variable T follows Exponential distribution. Which of the following expression shows the Memoryless property of Exponential Distribution (choose the most appropriate answer): a). P(T > t + s| T < s) = P(T > t) b). P(T < t + s| T > s) = P(T < t) c). P(T < t + s| T > s) = P(T < s) d). Both a) and b)
Let X be a finite random variable with the expected value u = µx. Choose a correct variant below to fill in the blank in order to obtain a valid formula: Var(X) Select one: a. E(X²) b. E(X) c. [E(X)]²

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The random variable X has probability distribution as shown in the table. X P(X) 1 0.3 2 Obtain: ii. P(X=lor X = 5) iii. P(3