The probability distribution of a random variable X is given.14х10111213151/81/82/81/8Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.)Р(Х 3 х)2/81/8meanvariancestandard deviation

The mean of the variable X obtained as given below: Here, X denote the observation.

Answered: The probability distribution of a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Excel Inferences of population variance(s): Buyer’s Digest CaseBuyer’s Digest rates thermostats manufactured for home temperature control. In arecent test, 10 thermostats manufactured by ThermoRite were randomly selected andplaced in a test room that was maintained at a temperature of 68oF. The temperaturereadings of the ten thermostats are shown below:Thermostat 1 2 3 4 5 6 7 8 9 10Temperature 67.4 67.8 68.2 69.3 69.5 67.0 68.1 68.6 67.9 67.2 Buyer’s Digest gives an “acceptable” rating to a thermostat with a temperature variance of 0.5 or less. Given significance level of α = 0.05, use a formal hypothesis test to determine whether the ThermoRite products are “acceptable” in the quality measured in the variance. r the ThermoRite’s claim is valid.
Find E(X), Var(X), and the standard deviation of X, where X is the random variable whose probability table is given in the table below. Outcome 1 2 3 1 1 Probability 5 5 What is the expected value of the random variable X associated with the probability table given in the problem statement? E(X) = 12 5 (Type an integer or a simplified fraction.) What is the variance of the random variable X? Var(X) = (Type an integer or a simplified fraction.) 35 ■ . = C (-) Moro
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Measuring lung function: One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV1. Assume the mean FEV1 for 10 -year-old boys is 2.1 liters and that the population standard deviation is =σ0.4 . A random sample of 35 10 -year-old boys who live in a community with high levels of ozone pollution are found to have a sample mean FEV1 of 1.98 liters. Can you conclude that the mean FEV1 in the high-pollution community differs from 2.1 liters? Use the =α0.10 level of significance and the P -value method with the TI-84 calculator. Part: 0 / 4 0 of 4 Parts Complete Part 1 of 4 State the appropriate null and alternate hypotheses. :H0 :H1 This hypothesis test is a ▼(Choose one) test.
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The heights of college students are normally distributed. (Use the Empirical Rule 68-95-99.7) 1.lf we measured 2,000 students how many would we expect to have heights that are within 1 standard deviation of the mean? 2.lf we measured 2,000 students how many would we expect to have heights that are within 3 standard deviation of the mean?
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The probability distribution of a random variable X is given. 14 х 10 11 12 13 15 1/8 1/8 2/8 1/8 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) Р(Х 3 х) 2/8 1/8 mean variance standard deviation