The probability density function of random variable X is given by X - 80 f(x) = 80 < x < 120 800 otherwise Find the mean of the random variable X O 0.6 O 25.33 O 106.67 O 2.4

Q: The probability distribution of the discrete random variable X is given below. 3 3-x f(x) = QO'@'* ,…

A: Given f(x)=(3x)(14)x(34)3-x    , x=0,1,2,3

Q: A discrete random variable X has a Geometric distribution with E(X) = 1.5. Calculate P(X > 5). %3D

A: It is given that the mean is 1.5.

Q: The random variable X has Benford's law, a discrete distribution described by P(X = k) = log10(k+1)-…

A: Here k is possible odd values , k= 1≤k≤9= 1,3,5,7,9 PX=k=log10k+1-log10k

Q: Show that the probability density function of a negative binomial random variable equals the…

A: Given that  Show that the probability density function of a negative binomial random variable equals…

Q: The probability mass function of a discrete random variable is: 37-x A G for x = 1, 2, ., 14 (a)…

A: Solution-: We have, P(X)=a*(15)x(32)7-x   for x=1,2,3,.........14 We compute (a) P(3&lt;X≤9)=? (b)…

Q: The score on an exam from a certain MAT 112 class, X, is normally distributed with μ=81.2 and σ=10.…

A: Given that X is normally distributed with μ=81.2 and σ=10.    We have to find the probability that a…

Q: Let us suppose that some article investigated the probability of corrosion of steel reinforcement in…

A: The probability of corrosion (p) is 0.1.The sample size n is 5.

Q: Let X be a continuous random variable with PDF 2x fx\=) = { otherwise Find the expected value of X.

A:

Q: Let X be a nonnegative continuous random variable with the pdf f(x). Read the following statements:…

A: Let X be non negative continuous random variable with pdf f(x).

Q: Exercise 23. Let X be a random variable having the uniform distribution on the interval (0,0+ 1), 0…

A:

Q: The probability mass function of a discrete random variable is: 7-x p(x) = a(=) G) for x = 1,2, .,…

A: Solution-: We have the p.m.f. of a discrete random variable P(X=x)=a*(15)x*(32)7-x   for…

Q: Let x be a random variable that represents the level of glucose in the blood (milligrams per…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Let x be a random variable that represents white blood cell count per cubic milliliter of whole…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Random variable X has the following probability mass function: P(X=x) = (x+1)/12 for x = 0, 1, 2, 5.…

A:

Q: The probability distribution of x is approximately normal with Hã = 70 and o = 19.50. What is the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Afx is a normal distribution variable, then, the moment generating function is eloT2)

A:

Q: Let X be a discrete random that takes values from the set {-2,0,2} where P(X=x)= { 1/5 if x=-2 3/5…

A: From the given information we want to graph graph of cumulative distribution function.

Q: What is the probability that x is less than or equal to 2? What is the probability that is an even…

A: a) The probability that x is less than or equal to 2 is:P(X≤2)=P(X=1)+P(X=2)=(1-2)26+(2-2)26=16

Q: Give an example of a probability density function fx(x) whose associated continuous random variable…

A: Here, need to give an example of a probability density function fX(x) whose associated continuous…

Q: Since the probability function of the continuous random variable X that does not take negative…

A: From the given information, f(x)=1(1+x)2 Given that the continuous random variable X that does not…

Q: fx(x) = = ´7xºa¯¯exp ( − (²)²¹), if x ≥ 0; -7 - otherwise. 10, Find the maximum likelihood estimator…

A: we need to find the MLE of .

Q: The length, X, of a fish from a particular mountain lake in idaho is normally destributed with p -…

A: As per by bartleby guidelines for more than three subparts only first three are to be answered so…

Q: Let a continuous random variable X follows normal distribution N(4.0, 16). Find (i) Pr(X 4.6).

A:

Q: Continuous random variable, x, comes from a normal distribution with = 2000 and 0 = 300. What value…

A:

Q: A service contract on a computer costs $100 per year. The contract covers all necessary maintenance…

A: Given: probability density function f(x)=(x-5)4625Formula:  E(X)=∫abx f(x) dx

Q: fx(x) = (0+1)xº, if 0 ≤ x ≤ 1; otherwise. 0, Find the maximum likelihood estimator of given i.i.d.…

A: X1 are iid r.s.Let random variable X have probability density function

Q: Let the probability distribution of random variable X be P(X= k) k! , k = 0, 1, 2, I then EX2 - ()

A: Let X has a pmf

Q: -3) = , P(X = 1) = }, P(X = 8) : %3D ot the cumulative distribution function of X. lulnto the values…

A: x y -3  1/8 0  3/4 1 1    Probability mass function: It is a discrete random variable that…

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

A: Step 1: E(x) calculation  Step 2:v(x) calculation  Step 3: sd calculation  Step 4: final result in…

Q: Let X luck variable show μ = 1, σ2 = 1 parameter lognormal distribution. So what is the probability…

A: Given: X has lognormal distribution with μ = 1 and σ2 = 1. Therefore, Y=lnX has normal distribution.…

Q: Moment generating function is given: Mx(t)= 1/(4-t)^2 Find the mean and the vairance for the…

A:

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

A: Given that One of the important properties of the probability density function , f(x) , of a random…

Q: Let X be an exponential random variable with parameter λ=1/4 and from this population a random…

A:

Q: The wait time at a popular fast food restaurant is uniformly distributed between 2 and 10 minutes on…

A: The wait time at a restaurant is uniformly distributed between 2 and 10 minutes on average.   The…

Q: i) Calculate the expected value of S. ii) Calculate the variance of S. iii) Determine E (1145 - 7S -…

A: Here given, Let S be a continuous random variable representing the students' study time (in hours)…

Q: a) Show that the pmf is well defined b) Determine Mx, also called the expected value of X. Interpret…

A: