1.A machine produces copper wire, and occasionally there is a flaw at some point along the wire. The length of wire produced between successive flaws is a continuous random variable X with pdf of the c(1+x)³,x> 0 form f(x) =- a) Find the constant c? b) Find the cumulative distribution function of X? c) Find P(0.40< X<0.45)?

Q: In statistical modelling, it is often the case that you have data obtained from an experiment and a…

A:

Q: Suppose that a pdf for a continuous random variable Y takes the form ayya-1 (1 + yª)r+1 y > 0 f() =…

A:

Q: A random variable X has a p.d.f. f(x) given by S(x) = {^e²) x>0 otherwise ke-3x a. Find the constant…

A: Given,f(x)={ke-3x; x&gt;00; otherwise

Q: If the moment generating function of a random variable X is: (1/3+(2/3)e t ) 5 find P (X > 3).

A: The given moment generating function of a random variable X is 13+23et5.

Q: Assume that the cumulative distribution function of the random variable X is (image): Determine the…

A: i) Since, -2&lt;1.8&lt;2 , so F(1.8) follows 0.25x+0.5 P(X &lt; 1.8)=F(1.8)=0.25(1.8)+0.5=0.95

Q: A random variable Y has the cumulative distribution function 0. if y 5 Find the probability that Y…

A:

Q: 4. If the random variable X has an show that for a > 0, b>0, exponential distrib f(x) = x/4, for x ≥…

A: For the random variable X~Exponential1λ, it is given that: fx=1λe-xλ, for x≥0

Q: A noisy resistor presents a voltage X distributed as a Gaussian random variable with zero mean and…

A: X : voltage of a noisy resistor    Therefore,  X ~ N(mean : μ = 0, standard deviation : σ = 2 =…

Q: If random variable x is exponentially-distributed with mean a= 2, calculate p(X> 3)· Σ 2e-2x x=3 E…

A: From the provided information, Mean (λ) = 2 X~exp(2)

Q: You roll a die. If it comes up a 6, you win $100. If not, you get to roll again. If you get a 6 the…

A: a) The probability model for the amount you win is:EventProbabilityWinnings61/6$100Not 65/6 *…

Q: Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street…

A: The random variable   represents the waiting time for the pedestrian signal. The PDF of random…

Q: 9. Each front tire of a vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual…

A: Given, Let denotes the air pressure for the right tire and  denotes air pressure for the left tire.…

Q: 57. We have data from 100 economists in academics, private sector, and government ncerning their…

A:

Q: a) Suppose that a r.v. Y has Exponential Distribution Y-Exp(1). Find the distribution of W = BY for…

A: Let Y be a random variable has exponential distribution

Q: Consider a random sample X₁, X2,..., Xn from the pdf f(x) = (1+0x) -1≤x≤1 where -1 ≤ 0 <1 (this…

A: f(x)=1/2(1+θx); -1≤x≤1

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.