A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23, 0.3, 0.2 the expected value is 3 True .a False .b
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- The probability distribution below is for the random variable X = the number of credits taken by a randomly selected first-year student at a large state university. Credits 14 15 16 17 Probability 0.05 0.65 0.20 0. 10 Show that the probability distribution of X is valid.please give me a justification on why youchose that answerLet X denote the random variable given by the number of boys in a family of five children. Find the probability distribution if a girl is as likely as a boy. (Round your answers to four decimal places.) Random variable, x 0 1 2 3 4 5 6 P(X = x)
- 1/12 1/6 1/10 172 3. P(w) 1/2 1/5 1/5 4. Find the mean of the probability distribution of the random variable X, which 10 can take only the values 1, 2, and 3, given that P(1) -, P(2) -, and P(3) - 5. The probabilities of a machine manufacturing 0, 1, 2, 3, 4, and 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005 respectively. Find the mean of the probability distribution. B. Determine the Variance and Standard Deviation of each random variable. Write your answer in your answer sheets. 1. 1 2 3 4 P(x) 1 1 5 4 6 8 2. P(z) 0.6 0.1 0.2 0.1 m 1 3 5 7 3. P(m) 40% 25% 15% 20% 4. The random variable X, representing the number of nuts in a chocolate bar has the following probability distribution. Compute the variance and standard deviation. X 1 2 4 5 P(x) 1 3 3 2 1 10 10 10 10 10 5. The number of items sold per day in a sari-sari store, with its corresponding probabilities, is shown in the table below. Find the variance and standard deviation of the probability…i need the answer quickly10. Expected value Find the expected value of each random variable: b. P(X= z) X Chapter 14: Exercises P(X = x) 100 0.1 0 0.2 200 C 0.2 1 0.4 300 0.5 2 0.4 400 0.2 TD -
- q16- If Z is a standard normal random variable, then P(-2.28 ≤ Z ≤ -1.96 ) is: Select one: a. 0.0250. b. 0.0146. c. -0.0104. d. 0.0137.HelpA random sample of 3 households is selected. The probabilities that certain number of households have a pet dog are listed. prob. of households with a dog P(x) probability that x households have %3D x (# of households) a dog 0.036 1 0.219 2 0.444 0.301 a) Does this table describe a probability distribution? Give a reason for your answer. Do not simply say yes/no b) What is the mean? Show work Edit View Insert Format Tools Table BIUA e Pv: 12pt v Paragraph v DELL