Find the expected value E(X) of the following data. Round your answer to one decimal place.x56789P(X = x) 0.2 0.20.10.2 0.3

xP(x)50.260.270.180.290.3Expected value = ?

Answered: Find the expected value E(X) of the…

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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Terri Vogel, an amateur motorcycle racer, averages 129.69 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.25 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the proportion of her laps that are completed between 127.93 and 130.17 seconds. c. The fastest 4% of laps are under seconds.d. The middle 60% of her laps are from seconds to seconds.
Q.8
The following table shows the hot dogs bought from a street vendor over the course of eight days ("Demand"). Also shown is the temperature for each day in degrees Celsius. Temperature (°C) 22 12 22 18 7 14 18 21 Demand 47 28 36 41 16 25 41 33 R2=0.719 Calculate the test statistic. F= (Round to two decimal places as needed.)
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1.3 In a recent survey, 10,000 households were randomly selected. One of the questions on the survey asked how many TVs they had. The results are given in the table below. Number of TVs to number of households # of TVs # of Households P(X=x) 0 160 1 3140 2 3790 3 1920 4 780 5 210 Total 10,000 e) What is the average number of TVs in a household?
Terri Vogel, an amateur motorcycle racer, averages 129.45 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.29 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N()b. Find the proportion of her laps that are completed between 130.57 and 132.63 seconds. c. The fastest 3% of laps are under seconds.d. The middle 50% of her laps are from seconds to seconds.
Send data to Excel Observed frequency fo Expected frequency ƒE 2 (fo-fe) ƒE Winter Spring Summer 35 1 ☐ 23 37.50 5.607 44 37.50 Fall 48 П 1.127 1 Total 150 X

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Find the expected value E(X) of the following data. Round your answer to one decimal place. X 5 6 7 8 9 P(X = x) 0.2 0.2 10 0.1 0.2 0.3