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
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
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.
Two six-sided dice are rolled and the random variable x is the sum of the values produced by each die. a. List the possible outcomes for the variable x, determine the probability for each outcome, and calculate the expected value of x. b. Calculate the variance of x. c. Calculate the standard deviation of x. a. List the possible outcomes for the variable x. Choose the correct answer below. O A. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 О В. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ОС. 1,2, 3, 4, 5, 6 O D. 3, 4, 5, 6, 7, 8, 9, 10, 11 Determine the probability for each outcome. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or fractions.) O A. P(1) =. P(2) = P(3) = P(4) = P(5) = P(6) = О В. Р/2)- P(3) = , P(4) = , P(5) = P(6) = P(7) = P(8) = P(9) = , P(10)= P(11) = P(12) = %3D O C. P(3) = P(4) = , P(5) = , P(6) = ,P(7) = P(8) = P(9) = P(10) = P(11) = O D. P(1)= , P(2) = , P(3) = P(4) = , P(5) = P(6) = P(7) = P(8) = P(9) = P(10) = P(11) = P(12)…
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
Answer 1&2 plz
Megan has purchased the insurance policy from an insurance company to cover the value of hers new car in case if it gets totaled for the price of $1500 per year. Megan's car worth $20000 and the probability of her totaling the car during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) car is totaled car is not totaled 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one week is given by the following table. x 1 p(x) 2 3 4 5 0.06 0.10 (a) Find the mean value of x (the mean number of systems sold). 0.11 0.30 6 7 8 0.29 0.12 0.01 0.01 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is A typical deviation from the mean number of systems sold in one week is (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?

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