An appliance dealer sells three different models of upright freezers with storage spaces of 14.5, 16.9, and 20.1 cubic feet. Let $ x $ denote the amount of storage space purchased by the next customer, with the following probability distribution:\[\begin{array}{c|ccc}x & 14.5 & 16.9 & 20.1 \\\hlinep(x) & 0.2 & 0.5 & 0.3 \\\end{array}\]**(a)** Calculate the mean (in cubic feet) of $ x $.The calculated mean is 16.95 cubic feet.Calculate the standard deviation (in cubic feet) of $ x $. (Round your answer to three decimal places.)The standard deviation is not provided in the text.**(b)** If the price of the freezer depends on the size of the storage space, $ x $, with the formula:\[ \text{Price} = 25x - 8.5 \]What is the mean price paid (in dollars) by the next customer?The mean price paid is not provided in the text.**(c)** What is the standard deviation of the price paid (in dollars)? (Round your answer to the nearest cent.)The standard deviation of the price paid is not provided in the text.**Graph/Diagram Explanation:**There is a table provided showing the probability distribution of storage space (in cubic feet) for different models of upright freezers. This helps in calculating expected values and variability in the context of statistics.

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Answered: An appliance dealer sells three…

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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Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
A pencil company has four extruders for making pencil lead. The maintenance manager has determined from historical data that the following table describes the distribution of the number of extruders down (out of operation) on any given day: y 0 1 2 3 4 P(y) 0.5 0.3 0.1 0.05 0.05 a. Find the probability that three or more extruders are down. b. Find the probability that fewer than one extruder is down. c. Find the expected number of extruders down. d. Find the population variance and the population standard deviation for the number of extruders down.
Suppose that the number of traffic accident claims received in a month is modeled by Poisson distribution with intensity λ = 4. Assume that each traffic accident claim takes values $150, $300 or $450 equally likely. Calculate the probability that the total traffic accident claim amounts to exactly $1500.
The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) through (c) below. Number of Accidents Daily (X) P(X=xi) 0 0.23 1 0.29 2 0.17 3 0.12 4 0.08 5 0.07 6 0.04 a. Compute the mean number of accidents per day. μ=nothing
Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0)= 0.62, P(1)= 0.21, P(2)= 0.13, P(3)= 0.03, P(4)= 0.01, with negligible probability for higher values of x. Find the long-term average number of homes the real estate agent expects to sell each month.
What type of distribution does Y follow? A. Exponential B. Poisson C. Uniform D. Binomial E. Bernoulli
A student who is taking a stats class was assigned to watch the cars driving along Pereira Drive and count the number of people who are in each cars. Let Y be the number of people in a given car that the student observe. The following table shows the cdf of Y: 1 3 4 P(Y < y) 0.06 0.32 0.71 0.88 1 (a) What is the probability that a given car has 2 people in it? (b) What is the probability that a give car has 3 or more people in it. (c) What is the expected number of people in a given car that the student observe.
An appliance dealer sells three different models of upright freezers having 11.5, 14.9, and 20.1 cubic feet of storage space. Let x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution. X p(x) 11.5 14.9 20.1 0.2 0.5 0.3 (a) Calculate the mean (in cubic feet) of x. cubic feet Calculate the standard deviation (in cubic feet) of x. (Round your answer to three decimal places.) cubic feet (b) If the price of the freezer depends on the size of the storage space, x, such that Price = 25x8.5, what is the mean price paid (in dollars) by the next customer? $ (c) What is the standard deviation of the price paid (in dollars)? (Round your answer to the nearest cent.) $
A survey of almost 44,000 two-child families yielded the accompanying table. The probability distribution of x, the number of boys in a two-child family is given below. Find E(x) and give a practical interpretation of its value. Gender Configuration Proportion D Girl-girl (GG) Boy-girl (BG) Girl-Boy (GB) 0.215 0.267 0.256 P(x) 0.215 0.523 0.262 Boy-boy (BB) 0.262 Choose the correct answer below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. If a very large number of households were sampled, on average, there would be E(x) = boys. O B. If a very large number of two-child households were sampled, on average, there would be E(x) = boys. of getting a family with a boy. %3D O C. If a very large number of two-child households were sampled, there would be a probability of E(x) = O D. In the sample of 44,000 households, each household had E(x) = boys.

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