My dear student you posted multiple questions as per HOMEWORKLIB RULES I have solved the first five questions.thank you.
With explanation please. True or false section (W rite down the question AND the auswer in...
1- True or false section Write down the question AND the answer in your answer booklet) a. The expected value of a product of two independent random variables is E(XY) EQEY ipt b. A continuous random variable is a random variable that can assume only countable values cThe slope of CDF of any RV could not have negative values. d The expectation fa randomvariable uniformiydistributedover (-2,8)s equalto5__ It e If a and b are constants and X is a random...
True or False With explanation please. f. If a and b are constants and X is a randoin variable , then,ar(aX +b)-apa (X) t l' g. Tickets numbered from 2 to 11 are mixed up and then a ticke is draw X 1 n at random. The probability that the ticket drawn has prime number is 2/11. N If the covariance of two random variables is pasitive and the first number is negative then most probably the secoud number will...
True or False With explanation please. 1- True or false: a. If A is an event of a sample space with P(A)-P(AS), then P(A)-0.5 b. Under certain conditions, it is possible that the sum of the probabilities of all the sample points in a sample space is less than one P(A or B)-P(A)+P(B) P(A and B) P(A).P(B) by its own probability and then adding all the products together; that is P deviation of σ. If x is converted to the...
True or False With explanation please. I 1f two events arerntítuall kThe expected value of the sum of two independent random variables is E(X+Y) exclusive-they-realsoindependent.>,JeEJLF pt. Apt EXHEY If a, b are constants and X is a random variable and YeaX+b, then
With explanation please. swer the following questions: 12pts.)True or false section(Write down BOTH QUESTION ANDANSWER at your answer booklet DON'T GUESS): a. You throw a dice and toss a coin simultaneously. The sample space of this experiment contains 8 different values. 2 b. A CRV has uniform distribution from-4 to 8. Its variance is 4/31F) Ip c. The probability of a certain event is 1. d. If A and B are two disjoint events, where PIA 0.1 and PBI-0.4 then...
True or False With explanation please. 1- True or falso: a. The expectation of a random variable uniformly distributed over (a, b) is equal to (6-a) b. If the random variable X is applied to the input of a Half-wave rectifier, So the output is x>0, xs0., th cterized as r=g(X): g(x)-10. x, en - X) If a and b are constants and X is a random variable and Y-aX+b, then f v) d. If a and b are constants...
With explanation please. 12 pts./True or false section(Write down BOTH QUESTION ANDANSWER at your answer booklet DON'T GUESS You throw a dice and toss a coin simultaneously. The sample space of this experiment contains 8 different values. a. t 12 b. ACRV has uniform distribution from-4 to 8. Its variance is 4/3. c. | The probability of a certain event is 1. d. If A and B are two disjoint events,where PIA1-0.1 and PIB-0.4 then PIA or BI-0.5 e. The...
Part 2. Random Variables 4. Two independent random variables Xand y are given with their distribution laws 0.3 0.7 0.8 0.2 Pi Find the distribution law and variance for the random variable V-3XY 5. There are 7 white balls and 3 red balls in a box. Balls are taken from the box without return at randomm until one white ball is taken. Construct the distribution law for the number of taken balls. 6. Let X be a continuous random variable...
True or False With explanation please. e. If two events are mutually exclusive, they are àl f. The mean of a discrete random variable X is penide found by multiplying each possible value of X by its own probability and then adding all the products together; that is XPO g. Two events A and B are said to be independent if P(A and B)y- PIA)-P(B) h. Assume that X is a normally distributed random variable with a mean ofμ and...
Hi, please help me with this exercise, please explain me step by step and please write with very very good calligraphy. Thank you very much. * From an urn containing 4 white balls and 3 black balls 3 balls are removed with replacement. Following this, a coin is thrown as many times as black balls have been removed and the amount of heads obtained is evaluated. We define X as the random variable that represents the quantity of black balls...