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. to + 2 4 P(x) 0.416 0.313 0.105 0.063 0.103 (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. O A. OC. OD. 0.5- 0.5- 0.5- 0.- 0.4- 0.4- 1 0.4- 0.4- 0.3- 0.2- 0.3- 0.3- 0.3- 0.2- 0.1- 0.2- 0.2- 0.1- 0.1- 0.1- 0- 2 3 2 3 2 4 (c) Compute and interpret the mean of the random variable x. The mean is activities. (Type an integer or a decimal. Do not round.)

The following table presents the probability distribution of the number of vacations Xtaken last year for a randomly chosen family. Find the probability that a family took at least 3 vacations last year. Show your work x 0 1 2 3 4 p(x) 0.05 0.69 0.17 0.07 0.02   a.0.09  b.0.07  c.0.26  d.0.91

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 (aj 3 4 P(x) 0.314 0.261 0.204 0.083 0.138 (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 less than or equal to 1. greater than 0 and less than 1. between 0 and 1, inclusive. greater than or equal to 0. Enter your answer in the answer box and then click Check Answer. Clear All parts remaining MacBook Air

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…

Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: 1 3 4 8 P(X = x) |0.252 0.286 0.13 0.188 0.082 0.038 0.02 0.003 0.001 a. What is the probability that a randomly selected student changed his or her major at least once? b. What is the probability that a randomly selected student changed his or her major at most twice? c. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times? (Round your answer to three decimal places.)

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.

Assume that 12 jurors are randomly selected from a population in which 76% of the people are Mexican- Americans. Refer to the probability distribution table below and find the indicated probabilities. P(a) 0+ 1 0+ 0+ 0.0003 4. 0.0018 0.0092 6. 0.034 7 0.0924 8 0.1828 9. 0.2573 10 0.2444 11 0.1407 12 0.0371 Find the probability of exactly 5 Mexican-Americans among 12 jurors. P(x = 5) = 0.0092 Find the probability of 5 or fewer Mexican-Americans among 12 jurors. P(x < 5) = 3205 Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? yes O no Question Help: O Message instructor Submit Question 12 MAR tv 19 MacBook Air 11 F4 F5 F7

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.

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 () below. to 1 2 3 4 P(x) 0.299 0.084 0.131 0.213 0.273 (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. YA. O B. OC. OD. 0.5- 04 Q 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- 0.1- 0.1- 0- 0 1 0- 0 1 4 012 3 4 ó i 2 3 (c) Compute and interpret the mean of the random variable x. The mean is activities. (Type an integer or a decimal. Do not round.)

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.