Given the Joint Probability Distribution: a. What is the value of the constant? b. Are the random variables independen?
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Given the Joint Probability Distribution:
a. What is the value of the constant?
b. Are the random variables independen?
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- Need help with part d). Thank you :)For the experiment described below, let x determine a random variable, and use knowledge of probability to prepare a probability distribution. Two names are drawn from a hat, signifying who should go pick up pizza. five of the names are on the swim team and six are not. The number of swimmers selected is counted.A random sample of adults was asked about their highest education level completed. The distribution of results is shown in the table. What is the probability that the highest level of education of an adult is a high school diploma, given that they have completed at least one of the education levels shown? 0.04 0.16 0.47 0.84
- In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table is based on their responses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, the numerical values of the random variable x are not associated with probabilities. D. No, the sum of all the probabilities is not equal to 1. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. μ= (Round to one decimal place as needed.) B. The table does not show a probability distribution. Find…Let a random variable X have the t, distribution. What is the distribution of X?? Select one: O a. x O b. FAThe probability is 0.35 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. Only typing answer Please explain step by step
- If z is a standard normal random variable, find the probability.The probability that z lies above 1.12In 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.A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.02. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: a. 0.3127 b. 0.5846 c. 0.5364 d. 0.404 e. 0.4773
- A newspaper company classifies its customers by gender and location of residence. The research department has gathered data from a random sample of 1830 customers. The data is summarized in the table below. Gender and Residence of Customers Residence Apartment Dorm With Parent(s) Sorority/Fraternity House Other Males Females 158 241 64 125 232 211 227 246 150 176 What is the probability that a customer is male? Express your answer as a fraction or a decimal number rounded to four decimal places. Copy DataIf z is a standard normal random variable, find the probability.The probability that z lies above 2.13The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…
