The probability density function of a mixed random variable X is as follows: Af(x) 0.108(41) 0.20 8(x) 9,085(x-1) X a) Find the value of the constant a b) Calculate P[X s 2] 0.30 8(x-3) 3 0.15 8(x-5) 5 X
Q: A random variable X has the following probability mass function defined in tabular form as shown…
A: x-112P(X=x)2c3c4c
Q: Let Z be a continuous uniform random variable with E[Z] = 0. 10. Fill in the blanks Find the value…
A:
Q: If a probability generating function of a random variable x is Px(s)=(1/3+2/3s)^6 determine…
A: Given: The probability generating function of a random variable X is given as:…
Q: In a class of 8 students, what is the probability that at least one was born in July?
A: c) Given that there are 12 months in a year. The probability that student born in July is…
Q: Exercise 3. Let X be a random variable with mean and variance o2. For a ER, consider the expectation…
A: Given information: The random variable is X. The mean of X is μ. The variance of X is σ2. The term a…
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: Determine f(2) using the indicated probability distribution of the discrete random variable X…
A:
Q: xample: A continuous random Variable x has X70 fx(x)= 120 0 Find the E(X). -ax X40 probability…
A: Solution
Q: Let the joint probability distribution function of two random variables X and Y be given by S…
A: Given the joint probability distribution function of two random variables X and Y as…
Q: The economic life (in years) of a certain electrically-powered machine is a continuous random…
A:
Q: Find the probabilities (I) P(Y=0) (II) P(X=1/Y=0)
A:
Q: A random variable X has the probability density function ( 12x2(1 – x) 0 <x< 1 f(x) otherwise The…
A: Here from the given pdf we need to find the expected value E(X). The range of variation is between 0…
Q: Let X be the random variable with the cumulative probability distribution: 0 F(x)= 1 = {xx ²₁ x 2…
A:
Q: Exercise 3. Let X be a random variable with mean µ and variance o². For a E R, consider the…
A: Farmula used V(X)=E(X2)-[E(X)]2
Q: The probability density of the random variable X is given by: f(x)=+1) for 2<x<4 otherwise Use the…
A: The probability distribution function is given by: fx=18x+12<x<40otherwise So the CDF is given…
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: Suppose x is a continuous random variable with density function given by: +kx 0sxs1 S(x)= { 3…
A: We want to find the probability. Note: According to Bartleby Expert guideline, we can answer only…
Q: Let X be a random variable with p.d.f f(x) = c+ 1.2x2,0<x< 1. Find a constant c if E(X) = ! 0.6 0.4…
A:
Q: Consider a random variable X with the following pdf: fx (x) 2/9 1/9- 0 + 3 6 8 a) What is P(X ≤ 5)?…
A: PDf of random variable X is:
Q: Let P(x) = , x = 0,1, 2,3 be a probability distribution for a discrete random variable X, find: %3D…
A:
Q: The probability density function of a random variable X is shown in the figure below. fx (x) 3 1 5 k…
A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…
Q: b) Probability density function of continuous random variable X, 1 2.5) and P (X<1.5).
A: The probability density function of X is given as: fx=cx+3; 1<x<3 To find the value of…
Q: The probability density of the random variable X is given by: (x+1) for 2<x<4 f(x)=. otherwise Use…
A: Given: The probability density function of the random variable X is given as: fx=18x+1 for…
Q: Find the variance of probability function 1 2 4 P(X) 0,25 0,15 0,10 0,25 0,25 21 - O A) 6,80 O B)…
A: Here, X P(X) X.P(X) X2 X2.P(X) 0 0.25 0 0 0 1 0.15 0.15 1 0.15 2 0.1 0.2 4 0.4 3 0.25…
Q: oin Let X be a random number between 0 and 1 produced by the idealized uniform random number…
A:
Q: Determine the value of k such that this will be a probability mass function for x = 17, 19, 21, 23:…
A: To determine the value of k such that f(x) is a probability mass function (PMF), we need to ensure…
Q: The discrete random variable X has the probability function kx, k(x-2), 0, x = 2, 4,6 x = 8 P(X = x)…
A: Given a probability density function of Discrete random variable X , we need to find k and F(5)
Q: f(x) 1/6 2/6 a) Calculate the cumulative distribution of f. b) Find P(X<3). c) Find E(X) and ox. 2/6…
A: Given that Probability mass function of X is x 1 2 3 4 f(x) 1/6 2/6 2/6 1/6
Q: Let X be a binomial random variable with mean u = 3.6 and %3D variance o? 2.52, find %3D
A: Givenmean(μ)=3.6variance(σ2)=2.52
Q: Let f(x)= cx for 1 3.2).
A: Obtain the value of C. The value of C is obtained as follows; Probability Density function: Thus,…
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: Q1. The density function of the random variable X is given by f(x) =% %3D 2. a) Verify that the…
A:
Q: x < -1 Fx(x) = x/4+1/2 -1 < x < 1 %3D 1 Sketch the CDF and then find the following: a) P[X < 1] and…
A:
Q: Assume that a joint probability distribution function is given by: p(x,y) X 0 5 10 Find: •E(x), E…
A: The joint probability distribution function is given by, P(x,y) y 0 5 10 15 x 0 0 0.1 0 0.1…
Q: A discrete random variable has a probability mass function p(x) given in the table below: -2 -1.5…
A:
Q: The probability distribution of random variable X is defined as follows: X 0 1 2 3 4…
A: The expected value is calculated by the product of each observation and the corresponding…
Q: A random variable X has the probability density function (pdf) shown in he figure below. fx (2)
A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
Q: A discrete random variable, X, has the following pdf as follows. X 0 1 2 3 4 P(X = x) 0.15 0.3 a 0.2…
A: Step 1: Given table, pdf tablex01234P(X = x)0.150.3a0.20.1 Step 2: a) The value of 'a' can be…
Q: Let X be a discrete random variable with probability function f(x) = kx for x = 0,2,5,7. The value…
A: Use the condition of valid pdf to find the value of k, i.e.∑x=07f(x)=1
Q: The probability distribution of the discrete random variable X is: f(X) = k23-x , for x 4,5,6, 7 )…
A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
Q: 1 2 3 4 6. P(X-x) 0.05 0.1 0.2 0.3 0.2 0.1 0.05
A:
![The probability density function of a mixed random variable X is as follows:
af(x)
0.20 8(x)
0.108(+) 0,085(x-1)
XX
a) Find the value of the constant a
b) Calculate P[X s 2]
0.30 8(x-3)
3
0.15 8(x-5)
5
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71f6a4b8-527f-4030-b85a-828002701c6f%2F4aae3303-adf2-4420-9813-9355d1eed7fc%2Fcc24oxw_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 4 steps with 12 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
- If x is a continuous random variable, then the total area under the probability distribution f(x) for the continuous random variable x is always: A equal to 1. B) between zero and 1. (c) less than1. D greater than 1.The probability density function of the discrete X random variable is given as follows: X 1 4 f(xi) 0.12 0.27 0.31 0.23 0.07 Based on the table above; find the following functions: i) Expected value ii) E([2X3+4]/5) iii)VarianceLet X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6) = .1. Find E(X).
- Let X be a discrete random variable with probability mass function given in the following table:a) Consider the following probability density distribution of random variable X. if 052 l l 0.5 If P(A/B)=0.5 and P(B)=0.8, then the 1/1 probability that both A and B occur is O 0.8 O 0.2 O 0.6 0.4 If f(x)=(2x+3)/1O, where 0A random variable X has the following probability mass function for x = 0, 1, 2, 5. Based (PMF): P(X= x) = (x+1) 12 on this PMF, what is P(X≥ 2)? 5/12 1/2 3/4 11/12Q1 Let probability distribution function of Xbe defined by х %3D 0,1, 2, 3. a P(x) = otherwise. Find the value of a. (а) (b) (c) (d) Find P(-1[Q1] The probability distribution of the discrete random variable X is: f(X) = k23-* , for x = 4,5, 6, 7 (a) Find: • the value of the constant k. • The mean E (X). • The variance Var(X). (b) Sketch F(X).Let X be a random variable with pmf P(O)=0.2, P(1)-0.5, P(2)=0.3. Let F(X) be the cdf of X. (a) Find P(X<0.7) (b) Find F(1.3). (c) Find F(3).(Continuous random variable) In a city, the daily electricity consumption (millions of kWh) is a random variable whose probability density is: f(x) - ਵਿਆ = 0 x xe 3 six>0 six<0 The city's electric power plant has a daily capacity of 12 million kWh. a. Verify that the given function is a probability density function. b. Calculate the probability that the power plant cannot meet the demand for electric power.A shop receives a shipment of 1000 lamps. The probability that any individual lamp is defective is 0.2%. Assume the defectiveness is independent of cach lamp. Let X be the number of defective lamps in the batch of 1000. What is the probability mass function of X? O P(X = k) = (00) 0.002* (1 – 0.002)1000 , k = 0,1, 2, ..., 1000 O P(X = k) = 0.002* (1 – 0.002)1000–&, k = 0, 1, 2, .….., 1000 O P(X = k) = (1000) 0.002* (1 – 0.002)1000 , k = 1, 2, ..., 1000 O P(X = k) = (00)0.002100- (1 – 0.002)*, k = 0, 1, 2, ..., 1000SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON