d. 6e. None8. Let X have a negative binomial distribution with r and P-0.6. If the mean of X is 5 then r equala. 1.8b. 0.83c. 3d. 9e. None10. The variable X has a uniform distribution on th2113Assume that X has an exponential distribution. If Var (4-)=20. Then E(X) isb.0a. 200.5d. 10e. None

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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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3. If X has an exponential distribution with λ=2. Calculate the following The value of x such that P(X<x)=0.05 corresponds to x=?
For A-D: A certain breed of pigs has weights that are normally distributed with a population mean of 350 lbs. and a standard deviation of 25 lbs. A) If ONE pig is selected at random, find the probability (to nearest 0.0001) that its weight will be 335 lbs or less. B) If ONE pig is selected at random, find the probability (to the nearest 0.0001) that its weight will be between 335 and 360 lbs. [Hint: you're dealing with a band area in the middle of the normal bell curve]. C) What weight (to the nearest pound) represents the 33rd percentile in this group of pigs? [Hint: Find the z-score corresponding to a probability of 0.3300 and substitute it into the z-score formula. Then algebraically solve for X which will be the desired weight at the 33rd percentile.] D) If a group of 4 pigs is selected at random, find the probability (to the nearest 0.0001) that the mean weight of the group will be 335 lbs or less.
Suppose that x has an exponential distribution with θ =1.5. Find P(x > 1
The lifetime of a certain type of TV remote control is given by Y . Suppose Y has approximately exponential distribution with mean 8 years. a) Find the probability that a remote control of this type will last more than 15 years. b) Find the probability that of eight such remote controls at least one will last more than 15 years. c) What should the warranty period for these remote controls be if the manufacturer wants 85% of the remote controls to last beyond the warranty period? d) What is the moment generating function of Y .
(β) For λ = 3/14.(i) Find the probability P(X > 1).(ii) Find the expectation E(X).(iii) Find the variance Var(X). give your answer correct to three decimal places.
1. A researcher reports an F-ratio with df(between) = 3 and df(within) = 28. How many treatment conditions were compared in the experiment? If samples have an equal number of participants, how many are in each treatment? 2. A researcher obtains an F = 4.10 with df = 2, 14. Is this value sufficient to reject the null with α = .05? Is it sufficient enough to reject the null with α = .01?
A random sample of n1 = 16 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 15. For Englewood (a suburb of Denver), a random sample of n2 = 14 winter days gave a sample mean pollution index of x2 = 37. Previous studies show that ?2 = 17. 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. H0: ?1 < ?2; H1: ?1 = ?2H0: ?1 = ?2; H1: ?1 > ?2 H0: ?1 = ?2; H1: ?1 ≠ ?2H0: ?1 = ?2; H1: ?1 < ?2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.The standard normal. We assume that both population…
A poll found that 35% of adults do not work at all while on summer vacation. In a random sample of 9 adults, let x represent the number who do not work during summer vacation. Complete parts d thorugh e. d. Find P(x=5). (round to 4 decimal places) P(x=5) = _____ e. Find the probability that 2 or fewer of the 9 adults do not work during summer vacation. (round to 4 decimal places) P(x≤2) = _____
A sample is selected from a normal population with µ = 40 σ = 10. If the sample mean of M = 46 produces a z-score of z = +3.00, then how many scores are in the sample?
A random sample of n1 = 12 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 15. For Englewood (a suburb of Denver), a random sample of n2 = 16 winter days gave a sample mean pollution index of x2 = 37. Previous studies show that ?2 = 11. 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. What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)=__ (c)Find (or estimate) the P-value. (Round your answer to four decimal places.=__
A random sample of n1 = 14 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 13. For Englewood (a suburb of Denver), a random sample of n2 = 10 winter days gave a sample mean pollution index of x2 = 35. Previous studies show that ?2 = 11. 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. what is the sample test statistic find or estimate p value
The time for the first widget to be manufactured each morning is random between 1 and 3 seconds with a pdf of f(x)=1/162(x-3)^2(x+6) for 0 < x < 6What is the cumulative distribution function, F(x)? What is the probability of a widget being made earlier than 4 s?Answer to four decimal places What is the probability of a widget being made later than 1.3 s?Answer to four decimal places

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8. Let X have a negative binomial distribution with r and P-0.6. If the mean of X is 5 then r equal a. 1.8 b. 0.83 c. 3 d. 9 e. None Assume that X has an exponential distribution. If Var (4-4)=20. Then E(X) is a. 20 b.0 c. 5 d. 10 e. None 10. The variable X has a unifa