The following table gives a Probability Distribution for a random variable X, which represents the numberof siblings of a randomly chosen student at Duquesne:# siblings (x)012. What is P(X = 3)?234567P(X = x)0.210.320.250.140.050.010.010.011. Confirm that this is a proper probability distribution by checking the sum of all of the probabilities.3. What is P(X ≤ 3)? What is the event "X ≤ 3" in words? What outcomes are included in this event?

Answered: The following table gives a Probability…

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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For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX? xx P(x)P(x) 1 0.2077 2 0.0943 3 0.3281 4 0.1105 5 0.3232 A. yes B. noIs it correct answer B?
A random sample of 3 households is selected. The probabilities that certain number of households have a pet dog are listed. prob. of households with a dog P(x) probability that x households have %3D x (# of households) a dog 0.036 1 0.219 2 0.444 0.301 a) Does this table describe a probability distribution? Give a reason for your answer. Do not simply say yes/no b) What is the mean? Show work Edit View Insert Format Tools Table BIUA e Pv: 12pt v Paragraph v DELL
For familiés with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(x) 1 0.2862 0.0776 3. 0.1155 4 0.0491 0.3974 O no O yes 2.
The mean height of women in a country (ages 20 −29) is 63.6 inches. A random sample of 55 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ= 2.65
Find the probability P(Ec) if P(E)=0.17.
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.) $
Suppose that the random variable x, shown below, represents the number times . P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 19 a| P(x) 0 0.2749 Rectangular Snip 1 0.2522 2 0.2511 3 0.1494 4 0.0455 0.0269 6+ 0.0000 a) What is the probability that a randomly selected person has received two tickets in a three-year period? P(x = 2) %3D b) What is the probability that a randomly selected person has received four tickets in a three-year period? P(x = 4) c) What is the probability that that a randomly selected person has received more than five tickets in a three-year period? P(x > 5) = d) What is the probability that that a randomly selected person has received three or less tickets in a three-year period? P(x < 3)
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