25% of American adults are college graduates. Three American adults are randomly selected. If X denotes the number that the adult is college graduate: a) Construct a probability distribution b) Compute the expected value and standard deviation of the distribution.
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- Two candidates are running for president: John Democrat and Joe Republican. A recent survey concluded that John Democrat had a probability of 0.55 to win the election. One thousand people are interviewed at random about whom they would vote for. A random variable X is defined as the number of people who said they would vote for Joe Republican. Find the expected value of the random variable4. Discrete probability distributions #1 You may calculate the answers of the following questions using the appropriate probability distribution function from the equations in your textbook. (You will need to read the questions first to determine the appropriate distribution.) However, you may also determine these answers by using the Distributions tool. Select the appropriate distribution from the dropdown box in the upper left-hand corner. Set the parameters accordingly, and select the radio button in the lower left-hand corner depending on whether you want the probability of a single outcome (left) or a cumulative probability (right). Who's so vain? A survey conducted by the American Association of Motor Vehicle Administrators (AAMVA) and Stefan Lonce, author of LCNS2ROM- License to Roam: Vanity License Plates and the Stories They Tell, reveals that Virginia motor vehicle owners are the vainest. Approximately 16% of Virginia license plates are vanity plates. Select a Distribution…Use the data in the following table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects are randomly selected from those included in the table. Drove When Drinking Alcohol? No 3171 4430 Yes Texted While Driving 714 No Texting While Driving 172 If four different high school drivers are randomly selected, find the probability that they all drove when drinking alcohol. The probability that four randomly selected high school drivers all drove when drinking alcohol is (Round to six decimal places as needed.)
- Two coins are selected from a pocket that contains 3 nickels and 4 quarters. The random variable is the total value in cents of the 2 selected coins. Find the probability distribution. Find the expected value, variance, and standard deviation.IV. Solve the problem. (don't forget to attached the solution) The Xiaomi brand releases three cellphones that are tested at random. a. Construct the probability distribution of the random variable X (number of defective cellphones). Let G represent non-defective cellphones and, Let F be the defective cellphones. b. Create a histogram representing the distribution2. 46% of Canadians believe in ghosts. We randomly select a sample of 80 Canadians and ask them if they believe in ghosts. Let the random variable X be the number of Canadians in the sample who believe in ghosts. What is the approximate probability that there will be exactly 43 individuals who believe in ghosts in the sample?
- The number of calls received by a mountain search and rescue team in a day has a mean of 0.70. Find the probability that on a randomly selected day, they will receive fewer than two calls. O a. 0.844 O b. 0.156 O c. 0.122 O d. 0.348Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors. Give answer as a decimal. b) Find the probability of more than 4 Mexican-Americans among 12 jurors. Give answer as a decimal.A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 3 4 6. f 1 1 11 7 a. Determine the probability distribution of the random variable Y. 3 y P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 5, a value less than 5, and a value of at least 5. The event that Y takes on the value 5 can be represented as The event that Y takes on a value less than 5 can be represented as The event that Y takes on a value of at least 5 can be represented as { }. c. Find P(Y = 5), P(Y 5). %3D P(Y = 5) = (Type an integer or a decimal. Do not round.) P(Y<5) = (Type an integer or a decimal. Do not round.) P(Y 2 5) = (Type an integer or a decimal. Do not round.) LO