In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts (a) through (f) below.010.2870.105O A.XP(x)0.5-0.4-0.3+0.2-0.140-0320.288(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is 1 and each probability is between 0 and 1, inclusive.(b) Graph the discrete probability distribution. Choose the correct graph below.Q30.245B.0.5-0.4-0.3+0.2+0.1+40.0750(c) Compute and interpret the mean of the random variable x.The mean is activities.(Type an integer or a decimal. Do not round.)1D2(...)3O C.0.5-0.4-0.3-0.2+0.1-0-013✔D.0.5-0.4-0.3+0.2-0.1+0 123

Answer:- Given probability distribution table is, X 0 1 2 3 4 P(x) 0.287 0.105 0.288 0.245…

Answered: In the following 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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Find the expected value of the random variable X, where the probability distribution of X is given by the following table: |-30 - 10 0 | 5 P(X= x)|0.15|0.25 |0.05 |0.10|0.25|0.20 10 20
In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below.
Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by x 0 1 2 3 4 Px 0.34 0.39 0.17 0.06 0.04 1. Find P(3) 2. Find P(2 or fewer). 3. Find the probability that the standard is exceeded on at least one day. 4. Find the probability that the standard is exceeded on more than one day. 5. Compute the mean ux. Round the answer to two decimal places. 6.Compute the standard deviation σx. Round the answer to three decimal places.
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.
Consider the following discrete probability distribution. x 33 34 35 36 37 38 39 40 P(x) 0.02 0.06 0.10 0.20 0.24 0.26 0.10 0.02 (a) Find the probability that the random variable x is at most 38. Don't round. (b) Find the probability that the random variable x is at least 35. Don't round.
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?
Assume that 12 jurors are randomly selected from a population in which 80% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0001 4 0.0005 5 0.0033 6 0.0155 7 0.0532 8 0.1329 9 0.2362 10 0.2835 11 0.2062 12 0.0687 Find the probability of exactly 7 Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x=7)=P(x=7)= Find the probability of 7 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x≤7)=P(x≤7)= Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? no yes
The probability distribution of the random variable X is given in the following table. Random variable, x -2 -1 0 1 2 3 P(X = x) 0.10 0.15 0.05 0.20 0.15 0.35 Find the following probabilities. (a) P(X = 0)(b) P(X ≤ 0)(c) P(-1 < X ≤ 4)(d) P(X ≥ 1)
Suppose the probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station, is given in the following table. 1 4 p(x) 0.54 0.18 0.07 0.03 0.18 (a) Calculate the mean value of x. (b) What is the probability that x exceeds its mean value?
In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts (a) through () below. 3 0.099 P(x) 0.223 0.356 0.238 0.084 (a) Verify that this is a discrete probability distribution. This is a discrete probablity distribution because the sum of the probabilities is and each probability is (b) Graph the discrote probability distribution. Choose the correct graph below. O A O8. Oc. OD. 0.5 05- 0.5 0.5 04 04- 04 0.4 03 0.2- 0.3 0.3- 02 02 0.24 01- 01- 0.14 012 3 4 12 (c) Compute and interpret the mean of the random variable x. The mean is activities (Type an integer or a decimal. Do not round.) Ahinh nf the flnvatinn intnmentntinme of the mann ie nnennt
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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 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?

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