A randomly selected car salesman's annual salary (in thousands) can be estimated by a random variablethat follows x² -distribution with 53 degrees of freedom. Let X be the salary of a randomly selected carsalesman.1. Describe the distribution of X:X-Select an answer (df=2. Use the random variable notation to express symbolically each of the following:40.9.An event in which the salary of a randomly selected car salesman is less thanThe probability of an event in which the salary of a randomly selected carsalesman is less than 40.9.The probability of an event in which the salary of a randomly selected carsalesman is less than 60 is equal to 0.76.3. Use technology to find the probability that the salary of a randomly selected car salesman is:i. less than 40.9:(round the answer to 2 decimal places)ii. more than 40.9:(round the answer to 2 decimal places)iii. between 49.9 and 57.5:(round the answer to 2 decimal places)iv. more than 153.9:(round the answer to 2 decimal places) v. less than 173.1:(round the answer to 2 decimal places)4. Find the 29-th percentile:X29%ון(round the answer to 2 decimal places)

1. Description of the Distribution of XThe distribution X∼χ2(df=53) indicates that the random…

Answered: A randomly selected car salesman's…

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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Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of light bulbs that burn out in the next week in a room with 20 bulbs. (b) The weight of a T-bone steak. ... (a) Is the number of light bulbs that burn out in the next week in a room with 20 bulbs discrete or continuous? OA. The random variable is continuous. The possible values are x = 0, 1, 2,..., 20. OB. The random variable is continuous. The possible values are 0≤x≤20. OC. The random variable is discrete. The possible values are x = 0, = 0, 1, 2,..., 20. O D. The random variable is discrete. The possible values are 0≤x≤20. (b) Is the weight of a T-bone steak discrete or continuous? O A. The random variable is discrete. The possible values are w= 1, 2, 3, .... OB. The random variable is continuous. The possible values are w=1, 2, 3, .... OC. The random variable is discrete. The possible values are w> 0. OD. The random variable is continuous.…
A small inn has 4 rooms. Let X represent the number of rooms that are rented out on any given Saturday. The following table describes the probability distribution of X. What is the mean of the random variable X? μX =
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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and a- 0.90 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is u= 4.70 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.70 grams? Use a- 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: H 4.7 g; right-tailed Ho: H= 4.7 g; H: < 4.7 g; left-tailed Ho: H- 4.7 g; H: 4.7 g; two-tailed (b) What sampling distribution will you use? Explain the rationale…
X is normally distributed with ?=14 and ?= 4. Find the probability that x is between 1 and 18.
Choose an American household at random and let the random variable ?X be the number of cars (including SUVs and light trucks) they own. Given is the probability distribution if we ignore the few households that own more than 5 cars. Number of cars 0 1 2 3 4 5 Probability 0.09 0.36 0.35 0.13 0.05 0.02 About what percentage of households have a number of cars within 2 standard deviations of the mean?
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is µ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use a = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right- tailed, or two-tailed test? O Ho: H 4.8 g; right-tailed O Ho: H = 4.8 g; H1: µ < 4.8 g; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of…

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