Question * Let X and Y be two random variables such that Cov(X,Y) =–3 . Then co(5X+3,-2Y-2)=-20 cov(-3X+5,-3Y+5)=-18 cov(3X+5,-2Y+5)=18 None of these

Q: You toss a five sided die 100000 times and it lands on 1 exactly 26000 times . If the probability of…

A: Probability is defined as the total number of favorable cases of an event divided by the total…

Q: Just a regular student: Alex, your friend and a hard-working student with anxiety is enrolled in a…

A: Given that,  X~ Uniform (3.5, 5) There are total 12 quizzes in a course (X1, X2,...,X12) Q. a) The…

Q: Consider you go to a COVID vaccination centre to get yourself vaccinated. Let the random variable X…

A: We have given exponential distribution and we have to find cdf and it's graph.

Q: A_____ is one that may take on only accountable number of distinct values such as 0 1 2 3 4 etc.…

A: The discrete random variable takes values in integer only. For example : Number of people in class.…

Q: Suppose that a random variable X can take the values {0, 1, 2 ,3,4,5,8,9} all with equal…

A: Mean =(summation Xi)/n = (0+1+2+3+4+5+8+9)/8 =4 Standard deviation=√E(X2)-mean2

Q: 1. A continuous random variable may assume only integer values in an interval only fractional values…

A: given statement: A continuous random variable may assume

Q: The Poisson random variable is a discrete random variable with infinitely many possible values.…

A: Poisson distribution: A discrete random variable 'X' assuming onlynon negative values is said to…

Q: Suppose we know that a discrete random variable X takes values  {1, 2, 3, 4, 5, 6, ....}, then the…

A:

Q: A certain virus infects 5% of the population . A test used to detect the virus in  a person is…

A: Given that: A certain virus infects 5% of the population. Let “A” be the event infected by the virus…

Q: We have a red and a blue fair 4 sided die. Our random experiment is tosses of both dies…

A: Given:

Q: Construct a random variable X such that its first 2n moments exist

A: The objective is to construct the random variable X such that its first 2n moments exist and the…

Q: Two balls are to be drawn in succession without replacement from an urn containing 5 red balls and 6…

A: Given that there are 5 red balls and 6 blue balls. We'll pick 2 balls in succession without…

Q: Consider an electronic circuit with all sources turned off. In order to study the "thermal noise" or…

A: The value of k is first computed by using the property that the sum of all probabilities across the…

Q: (1 point) It is known that a certain lacrosse goalie will successfully make a save 87.68% of the…

A: here we use binomial distribution with parameter n = 12 P= 0.8768

Q: Accidentally, two depleted batteries get into a set of five batteries. To remove the two depleted…

A: Given information: At least two tests but not more four tests are needed to find two depleted…

Q: Two balls are drawn in succession without replacement from a box containing 5 pink balls and 6 red…

A:

Q: Random variable X is uniform distributed in (- 1,3), EIX)

A:

Q: The properties of a joint distribution function for two random variables X and Y are given as (1)…

A:

Q: A 4-sided die is fair and the sides are numbered 1, 2, 3, 10.  This die is rolled twice and the…

A: The four sided die has numbers 1, 2, 3, 10.

Q: (i) at least two (ii) at most two such minor fault in the next 100 such flights.

A: Let X be the random variable representing the number of flights that have a minor fault. And the…

Q: here are two random variables, X and Y. X equals vith probability 50% and X equals 2 with…

A: Since the question has multiple sub parts we will solve the first part only. Please resend the…

Q: Failures of two computers occur at random and independently. On average the first computer fails 1.2…

A:

Q: 1. An n sided die is rolled. Each face has a unique label from 1 to n. Let, X be the random variable…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Let X be a Poisson random variable with parameter λ. Show that the probability that X is even is…

A: Given that, X be a Poisson random variable with parameterλ. We need to show that the probability…

Q: a.     A discrete random variable can be described by the Binomial distribution if it satisfies four…

A: Introduction:  Binomial distribution:  The binomial distribution is one of the type of discrete…

Q: Just a regular student: Alex, your friend and a hard-working student with an xiety is enrolled in a…

A: Given information: X~Uniform3.5, 5 Here, a=3.5. b=5.  (d) Here, need to find the probability that…

Q: You randomly throw a dart at a circular dartboard with radius R. It is assumed that the dart is…

A:

Q: True or False 1. The sum of the probabilities of all values of the random variable must be equal to…

A:

Q: An n sided die is rolled. Each face has a unique label from 1 to n. Let, X, be the random variable…

A: Given: Number of sides in a die = n Each face is labelled from 1 to n. X is the number on the die

Q: In a semiconductor manufacturing process, two semiconductors from a lot are tested. Each of the two…

A:

Q: Tay-Sachs disease is a rare fatal genetic disease occurring chiefy in children, especially of Jewish…

A:

Q: Chi-Sq- 5.348 + **** + 0.024 + 15.912 + 1.459 + 0.019 + 0.413 + 2.544 + 2.816 + 7.003 + 0.709 +…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: TABLE 13-6 Let X and Y be two random variables each X -1 ! luking three values -1, 0 and 1, and…

A:

Q: Hypotheses for a test are given, as well as some information about the sample. Indicate where the…

A: It is given that the null and alternative hypotheses are: H0: ρ=0 vs Ha: ρ<0

Q: a random variable has probability distribution: x= 0,1,2,3,4,5,6,7…

A: Given information: x 0 1 2 3 4 5 6 7 P(x) 0 k 2k 2k 3k k^2 2k^2 7k(k+1) Total probability…

Q: A probability distribution gives the possible values of the random variable and the probabilities of…

A:

Q: If the random variable X is distributed according to the Binomial distribution X-Bin(5,0.6). then…

A: INTRODUCTION :  BINOMIAL DISTRIBUTION :  A discrete random variable x is said to follow binomial…

Q: is rolled repeatedly until a 6 falls uppermost. Let the random variable X denote the number of times…

A: A game of rolling a die will stop only when the a player will get 6 .  The game can stop in 1 throw…

Q: POLYGRAPH TEST   NO (DID NOT LIE) YES  (LIED) POSITIVE TEST RESULT 13 40 NEGATIVE TEST RESULT…

A: Consider the following table for necessary calculations.   No Yes Total Positive test…

Q: Two coins are tossed simultaneously. The outcome of the first coin is head. Let X be a random…

A: It is given that head appears on one coin out of the two. Then, number of heads can be either 1 (if…

Q: Show that the CDF of a geometric random variable with parameter p can be expressed as

A:

Q: Distinguish between discrete and continuous random variables. Give an example of each.

A: Any variable which can only take a countable number of values is known as Discrete random…

Q: If the random variable X is distributed according to the Binomial distribution X - Bin ( 5,0.6 ) .…

A: We have given that the random variable X is distributed according to the Binomial distribution X -…

Q: The number of earthquakes in a certain highly seismically active area is Poisson random variable…

A: A discrete random variable X is said to follow Poisson distribution with parameter , if its…

Q: Mention 3 examples of discrete random variables and 3 examples of continuous random variables…

A: Discrete random variable examples: 1. X is a random variable which represents the number of…

Q: A male is randomly selected from this population, and tested. The test result is negative. First…

A:

Q: To Construct:Random Variable X such that its first 2n moments

A: The objective is to construct the random variable X such that its first 2n moment exist and the rest…

Q: 10. An atom of Uranium-238 is unstable and will eventually decay (i.e., emit a particle and turn…

A: Given λ = 0.000000000155 The time elapsed until it decays, in years is modeled as an exponential…