Question 3: continues random variable ( Let X denote the time (in hours) that a student study for the exam. The probability density function of X is f(x) is given as follow: f(x)=- 11x² a) b) 3 608 c) (1) 2 R₁:0≤x≤4 Show that if f(x) is a probability density function. Find the probability P(X<2). Find the probability P(2 < X < 3).

Q: If the probability density function of the random variable X is x>0, f(x)= 0, Otherwise. Then the…

A: Given data :  f(x)=e-x , x&gt;0 0 , otherwise Finding Mean ,…

Q: 1 A probability density function of a random variable is given by f(x)=; =- 65 expected value, the…

A: A probability density function of a random variable is given by, f(x)=165 5+ 5x  ; 25≤x≤36…

Q: The economic life (in years) of a certain electrically-powered machine is a continuous random…

A:

Q: Given the probability distributions for variables X and Y shown to the right, P(x,y) Y compute the…

A:

Q: From past observations, it has been determined that the distribution of cell sizes (in nanometers)…

A: a). Calculate the CDF of the cell size. Given Information: The probability distribution function of…

Q: 3- If f(x)= is the probability density function for a random variable that can take on the values x…

A:

Q: Let X be a random variable with probability density function given by x -1 0 1 f(x) a b 0.25

A: From the given information, x -1 0 1 f(x) a b 0.25 From the probability condition,…

Q: The probability density function for the continuous random variable X is given by: (A(x² – 2x + 21)…

A: We want to find E(X), V(X) and E(X+2)2

Q: d) If probability density functions of a random variable x is f(x) = {X² for-1≤x≤1 for any other…

A: f(x)=x2 ; -1≤x≤1

Q: Q3: Suppose that X and Y have the following joint probability function given by table: fix, y) 1 2 1…

A: We have given that,  Let X and Y heaving joint probability distribution.  Then,  We will find,  1)…

Q: The probability of the closing of the ith relay in the circuits shown is given by pi. Let P₁= 0.6,…

A: Current will flow from A to B if any one of the circuit is closedFor part a, there are 2 possible…

Q: 1. h(t)= The time to repair a power generator is best described by the following probability density…

A: Let T be the time to repair a power generator. the probability density function of T is h(t) =t2333,…

Q: Homework-1: Suppose a continuous random variable X has the following probability density e 2, x >0…

A:

Q: Which of the following tables shows a valid probability density function? Select all correct…

A: The sum of all probabilities of probability distribution function is always 1 and probabilities…

Q: Determine P(X < 3). Find the expected value of random variable X.

A: The expected value of random variable X is defined as E(X) = ∫x.f(x) dx

Q: A simple random sample X1, …, Xn is drawn from a population, and the quantities ln X1, …, ln Xn are…

A: Solution: From the given information, a simple random sample  is drawn from a population and Q-Q…

Q: (c) Find the conditional probability density function fy|x=r (d) Are the random variables X and Y…

A: We have to find the conditional pdf of Y given X. For this we have to find the marginal pdfs of X…

Q: company uses wood chips in the manufacture of processed wood pieces of various sizes. Suppose the…

A:

Q: Which of the following tables shows a valid probability density function?

A: We need to find if the given are valid probability density functions.

Q: I don't understand this.

A: The objective of the question is to find the probability distribution of T, where T is the number of…

Q: Example 2: Consider the following function shown below. Use it to answer the following questions.…

A: Solution

Q: If a random variable X has the following probability density function: ƒ(x) = e¯ª, x ≥ 0 What is…

A: f(x)=e-x ; x≥0

Q: a) On a particular trading day, you are going to buy shares of the stock that is the cheapest. Find…

A:

Q: Let x = the number of meals that a person eats at a restaurant in one day. Suppose P (x = 0) = 0.2…

A:

Q: (a) the probability density function f(x) = (b) the mean μ = (c) the standard deviation = II III III…

A: Given, x is a random variable best described by a uniform probability that ranges from 2 to 4.That…

Q: eu = for 0 < x. Determine The probability density function of the time you arrive at a terminal (in…

A: See the below solution

Q: x P(X=x) 0 14 1 38 2 38 x P(X=x) 0 18 1 18 2 34 x P(X=x) 0 −310 1 110 2 15 3 1 x…

A: None of the above pmf is valid

Q: c. find Var(X) or o? 2. The number of passengers in a car on a freeway has the following probability…

A:

Q: which of the following is true about the probability density function of a continuous random…

A: Probability density function is a concept is statistics.

Q: The table below shows a probability density function for a discrete random variable X. What is the…

A: x P (X=x)  0 1/12 1 5/12 2 1/12 3 1/6 4 1/6 5 1/12

Q: Which of the following tables shows a valid probability density function? Select all correct…

A: Which of the following tables shows a valid probability density function?  a valid probability…

Q: 12. The continuous random variable X has probability density function S2xe, >0 fx(x) = 0, %3D…

A:

Q: 16. For the probability density function shown, what is the probability of the random variable æ…

A: To find: The probability of the random variable x being less than 1/3 ?

Q: The annual rainfall in a certain country varies from 0 to 9 inches and is a random variable with…

A:

Q: Question 34. Let X be a random variable with probability density function x € [0, 3], f(x) = 0,…

A: Given :-   fx = 19x2                         ,                   x∈0 ,30…

Q: One of the important properties of the probability density function, f(x), of a random variableXis…

A: According to the given information, we have Probability density function is given.

Q: (c) number of pips on the top face for the first roll is 2, what is the probability that the sum of…

A: c. From the given information, the die is rolled twice. The results are independent. Given that the…

Q: Consider the following PMF function: P(X=x)=x/15 for x=1,2,3,4,5 What is the probability that X is…

A: