3. Suppose that X has an exponential distribution with a mean of 10. Determine the following:(a) P(X < 5)(b) P(X < 20|X > 15)(c) Compare the results in parts (a) and (b) and comment on the role of memoryless property.

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Answered: 3. Suppose that X has an exponential…

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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A random sample of n, 20 winter days in Denver gave a sample mean pollution index x, = 43. Previous studles show that o,- 10. For Englewood (a suburb of Denver), a random sample of n, - 19 winter days gave a sample mean pollution Index of x, = 37. Previous studies show that g, -13. Assume the pollution Index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. (a) what is the level of significance? State the null and alternate hypotheses. (b) what sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with known standard devtations. O The standard normal. We assume that both population…
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The net weight in pounds of a packaged chemical herbicide is uniform for 49.75 < x < 50.75 pounds. Determine the following: a. Mean and variance of the weight packages b. P(X < 50.2) a. E(X) = 50.25, V(X) = 0.0208, P(X < 50.2) = 0.7 O b. NONE O c. E(X) = 50.0, V(X) = 0.0833, P(X < 50.2) = 0.55 O d. E(X) = 50.25, V(X) = 0.0833, P(X < 50.2) = 0.45
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3. Suppose that X has an exponential distribution with a mean of 10. Determine the following: (a) P(X < 5) (b) P(X < 20|X > 15) (c) Compare the results in parts (a) and (b) and comment on the role of memoryless property.