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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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. 3 4 P(x) 0.299 0.084 0.131 0.213 0.273 .... Q Q 0.5- 0.5- 0.4- 0.5- 0.5- 0.4- 0.4- 0.4- 0.3- 0.3- 0.3- 0.3- 0.2- 0.2- 0.2- 0.2- 0.1- 0.1- 0.1 0.1- 0- 0- 1 3 2 3 01 2 3 4 4 (c) Compute and interpret the mean of the random variable x. The mean is 2.077 activities. (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? 'A. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. OB. The observed value of an experiment will be equal to the mean of the random variable in most experiments. OC. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. O D. The observed value of an experiment will be less than the mean of the random…
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. 0 1 Q 12 | 0.446 0.241 X P(x) 2 0.142 3 0.061 4 0.110 (c) Compute and interpret the mean of the random variable x. The mean is activities. (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. OB. The observed value of an experiment will be equal to the mean of the random variable in most experiments. OC. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. OD. The observed value of an experiment will be less than the mean of the random variable in most experiments. (d) Compute the standard deviation of the random variable x. The standard deviation is activities.…
Suppose the pmf of a random variable X is as given in the accompanying table. What is the probability that X < 3? 3 0.2 6. 0.1 p(x) 0.3 0.4 Select one: a. 0.3 b. 0.8 C. 0.9 d. 0.5 e. 0.2
In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.t You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical profile regarding the most recent six shark attacks, all of which were nonfatal. Let r be the number of nonfatal attacks out of a random sample of six shark attacks. (a) Make a histogram for the probability distribution of r. 0.35 0.35 0.30 0.30 0.25 0.25 3 0.20 * 0.20 0.15 0.15 0.10 0.10 0.05 0.05 3 6. 2 4 0.35 0.35 0.30 0.30 0.25 0.25 0.20 0.20 0.15 0.10 0.10 0.05 0.05 3 6. 3 6. (b) What is the probability all six shark attacks are nonfatal? (Round your answer to three decimal places.) (c) What is the probability that three or more of the six shark attacks are nonfatal? (Round your answer to three decimal places.) (d) What is the expected number of nonfatal shark attacks out of the six? What is the standard deviation of the r-probability distribution? (Round your…
A dental clinic wants to properly handle their walk-in and appointment customers. According to the assistant's daily data collection of last year's activity, the probability distribution for x (the number of walk-in customers per day) is as shown in the table. What is the probability that exactly 3 customers will walk in?
A volunteer ambulance service handles 0 to 5 service calls on any given day. The probability distribution for the number of service calls is as follows: 1 3 4. f (x) 0.15 0.20 0.20 0.30 0.10 0.05 Based on this probability distribution: The volunteer ambulance service has a chance of handling at least 3 calls on a particular day. • The most likely number of service calls that the volunteer ambulance will handle on a given day is calls. Note: Input both of your answers rounded off to two decimal places. 2.
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. 1 2 3 4 P(x) 0.096 0.396 0.135 0.063 0.310 ..... (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is and each probability is between 0 and 1, inclusive. (b) Graph the discrete probability distribution. Choose the correct graph below. A. В. C. D. 0.5- 0.5- 0.5- 0.5- 0.4- 0.4 0.4- 0.4- 0.3- 0.3- 0.3 0.3- 0.2- 0.2- 0.2- 0.2- 0.1- 0.1- 01- 0.1- to to to 0- 0- 0- 0- 1 1 3 1 3 4 1 2 3 4 (c) Compute and interpret the mean of the random variable x. The mean is activities. (Type an integer or decimal. Do not round.) Which of the following interpretations of the mean is correct? A. The observed value of an experiment will be equal to the mean of the random variable in most experiments. B. As the number of…
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.
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.
enmath.com SCore: 27T S75 answered Question 4 Assume that 12 jurors are randomly selected from a population in which 81% of the people are Mexican- Americans. Refer to the probability distribution table below and find the indicated probabilities. P(x) 0+ 0+ 2. 0+ 3. 0+ 0.0004 0.0025 0.0123 0.0449 8 0.1195 0.2265 0.2897 11 0.2245 12 0.0798 Find the probability of exactly 6 Mexican-Americans among 12 jurors. P(x = 6) = Find the probability of 6 or fewer Mexican-Americans among 12 jurors. P(x < 6) = Does 6 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? O no O yes Check Answer 12 étv MacBook Air 14567090

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