Answer each of the following problems.1. The numbers of cars sold per day at a local car dealership, along with its corresponding probabilities,is shown in the succeeding table. Compute the mean, variance, and the standard deviation of theprobability distribution.A.ProbabilityNumber of Cars SoldP(X)102/102.3/102/103.리10

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Answered: Answer each of the following problems.…

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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A. Construct the probability distribution for the random variables described in each of the following situations. Draw the corresponding histogram for each probability distribution.1. Random variable X which is equal or corresponds to 52. Random variable Y, which is equal or corresponds to 8
If the mean of the following probability distribution is 3.44, what is the variance?
Suppose we are interested in the relationship between an individual's brown hair and skin color. Based on a random sample of LIU students, we have the following joint probability distribution given by: X-degree of brown hair color 2 3 4 0.12 0.01 0.05 0.07 0.07 0.12 0.09 0.16 Y- degree of skin color 2 0.12 3 0.16 | 0.03 The probability that an individual with degree of brown hair 2 has a degree of skin color 1 is: None of these 0.263 0.167 0.3
1. The number of defective parts of a machine with its corresponding probabilities is shown below. Compute for the mean and variance. Number of defective parts (X) Probability P(x) 2 10 3 10 10 10 2. The number of computers sold per day at a local computer store, along with its corresponding probabilities, is shown in the table. Find the mean and the variance of the probability distribution. Number of Items Sold (X) Probability P(X) 0.1 0.2 0.3 0.2 4 0.2
Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 6.5 million visitors per day and a standard deviation of 3 million visitors per day. What is the probability that the web site has more than 1.5 million visitors in a single day? Question 3 options: 0.7545 0.5543 0.9522 0.3454
1. In the probability distribution below, the random variable X represents the number of students in classrooms on Mondays at 2 p.m. at SLCC. X P(x) xP(x) x²P(x) 25 0.25 26 0.41 27 0.16 28 0.18 a. Complete the table above. b. Compute the mean of the random variable. c. Compute the standard deviation of the random variable.
Suppose you choose a random sample of size 100 from a large population of household incomes, which might or might not be normally distributed. If the population mean and population standard deviation are, respectively, $50,000 and $15,000, which of the following is at least approximately true because of the central limit theorem? a. The probability that the sample mean will be between $48,500 and $51,500 is above 0.99. b. The probability that the sample mean will be between $48,500 and $51,500 is about 0.95. c. The probability that the sample mean will be between $47,000 and $53,000 is about 0.95. d. The probability that the sample mean will be between $47,000 and $53,000 is about 0.68.
3. Draw the probability distribution of the function, find the mean, variance, and standard deviation of the profit in the instance below: A store has a monthly sale of P23,540, which deviates by P3,876. Now, the profit is calculated as 28% of the sales subtracted by the operating cost of P,5324.
consider the following Probability Distribution for Sales table probability: .3 .24 .14 .21 .11 sales: 29 35 55 66 80 find E(x), variance and riskiness
Solve the following problems. 1. A bakeshop owner determines the number of boxes of hopia that are delivered each day. Find the mean of the probability distribution shown. Number of Boxes (X) Probability P (X) 35 0.10 36 0.20 37 0.30 38 0.30 39 0.10 2. The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.10, 0.20, 0.15, 0.30 and 0.25, respectively. Find the mean of the probability distribution using the formula. 3. Suppose your wallet contains ten P20 bills, five P50 bills, three P100 bills, one P500 bill, and one P1000 bill. Find the u of this distribution and interpret the result.
1. Complete the table below by finding the variance and standard deviation of the following probability distribution. P(X) X P(X) (xla X 19 0.2 20 0.2 21 0.3 22 0.2 23 0.1

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