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: =) Find u and o.

A:

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

A:

Q: f(x) 0.5

A: It is an important part of statistics. It is widely used.

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 of a random variable, X, is: fx(x)=(8x-x4) 0≤x≤2 Determine the…

A:

Q: Let X be a random variable with probability density function is given by f(x) = Cx?- x/2        x>0…

A: The given function is fx=cxe-x2 defined for 0&lt;x&lt;∞ The value of c can be found if f is a PDF as…

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: (a) Explain why P(X ≤x) #1, for every x. (b) Find a and b. (c) Find the probability density function…

A:

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: Delta Airlines quotes a flight time of 2 hours, 3 minutes for a particular flight. Suppose we…

A: For the distrbution of the actual flight time, it is specified to be uniformly distributed between 2…

Q: The probability density function of a mixed random variable X is as follows: Af(x) 0.108(41) 0.20…

A: Given the probability density function of a mixed random variable X as

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 density function of X random variable is given as; f(x) = {ex²,.. ...– 3<x< 3 0,…

A:

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: (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: (try) Example 41 A cortinuous random variable X has a probability density function f(x) as follows:…

A:

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: b) The probability density function of random variable X is given as: if 0<x<1 otherwise (A– Bx the…

A:

Q: 1. Let f be the probability density function of a continuous random variable X whose range is…

A: Given: fx=x32,    if a≤x≤b0         otherwise

Q: C(4x – 2x2) 0 < x < 2 - f (x) = otherwise

A:

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: HAL AMI Figure 1 shows the piecewise function (I), (II) and (III) for cumulative distribution…

A: From the graph Cumulative distribution function of a continuous random variable F(x) is, F(x)=0;…

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: a) What must c be for the function to be a probability density function? b) Calculate F(1).

A: c can be calculated as:

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

A:

Q: 1. What two properties must a function f that is a probability density function exhibit?

A: probability density function has two important properties . that are as follows

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: 1. Find the value of c that will make the pdf valid. 2. Derive its corresponding distribution…

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: Question 34. Let X be a random variable with probability density function f(r) = , ze(0, 3), else.…

A: The expected value is:

Q: The probability density function of the continuous random variable X defined in the set of…

A:

Q: Nample 3: The probability density f(x) of a continuous random variable is given by (x)%3Dce , -m < x…

A:

Q: Suppose that a random variable X has the following probability density function. SC(36-x²) 0≤ x ≤ 6…

A: From the provided information,