Question 7An online retailer has limited the maximum number of rolls of toilet paper per order to 6. The probabilitydistribution of the size of a random order of toilet paper, X, is as follows:123450.150.4Xi|P(X = x₂)0.13P(X=2)P(X-4)=0.16X=3P(X=2)P(X-4)=0.16X=30.16|P(X=2)P(X=4)=0.160.121. Use the random variable notation to express symbolically each of the following:60.04|X=32. Use the above probability distribution table to find the following:a. P(X = 6)b. P(X= 4 or X = 5)c. P(X < 6)The probability that the size of a random order of toilet paper is exactly2.TotalThe probability that the size of a random order of toilet paper is exactly14 is equal to 0.16.1An event in which the size of a random order of toilet paper is exactly 3.(Round the answer to 2 decimals)(Round the answer to 2 decimals)(Round the answer to 2 decimals)

Answered: An online retailer has limited the…

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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A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 What is the average number of blue cards drawn? What is the probability that at most one blue card is drawn?
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.
er Weapon Handgun Rifle Shotgun Unknown firearm Knives Hands, fists, etc. Other Probability 0.478 0.027 0.035 0.148 0.135 0.059 0.118 to 0 and less than or equal to 1, and the sum of the probabilities of all outcomes E 14 quiz
Let X be a B (10, 1/2) random variable. What is the probability that X = 5?
Nicole has purchased the life insurance policy for her fish for the price of $200 per year and Nicole will receive $4000 in case if her fish passes away. The insurance company estimated the probability of her fish passing away during the length of the policy to be 0.5%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) fish passes away fish survives 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.)
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 1. If we replaced the yellow card in the first deck with another blue card, what would be the probability of drawing two blue cards? 2. If we replaced the yellow card in the first deck with another blue card, what distribution would the variable X follow?
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.) $
The probability distribution of random variable, X, is defined as follows: X 0 1 2 3 4 Probability 0 .3 .1 .3 .3 The P(X = 0) =?

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