A continuous random variable X has a probability density function f(x) where f(x) = (l- x)', 0< X < 2 0 ,otherwise (i) Find the value of the constant c (ii) Find the cumulative distribution F(x) (ii) Evaluate pr[1.2sxs1.8]

Q: A continuous random variable X has the probability density function 2 -(9 – x) if 0 < x < 9 81 f(x)…

A:

Q: ic device (measu neast

A: Here, fx(x)=Cx2 , x&gt;50    , x≤5 We have to find the value of C.

Q: The lung cancer hazard rate λ(t) of a t-year-old male smoker is such that λ(t) = 0.027 +…

A: Given that the lung cancer hazard rate  of a t-year-old male smoker as

Q: The distribution function for a random variable X is (1- e-2x x 2 0 F(x) %3D x < 0

A: From the given information, F(x)=1-e-2x, x≥00              x&lt;0 a) Density function: f(x)=ddxF(x)…

Q: (a) the value of k. (b) the mean and variance of X. (c) P(l£xs3).

A: According to the answering guidelines, we can answer only three subparts of a question and the rest…

Q: Sketch the graph of the probability density function over the indicated interval. F(x) = 1/20, [0,…

A:

Q: A random variable X follows the continuous uniform distribution with a lower bound of - 4 and an…

A: Answer: From the given data, X~Uniform distribution Lower bound of -4 and Upper bound of 12

Q: The amount of time in hours that a computer functions before breaking down is a continuous random…

A: For continuous random variable, a probability distribution function f(x) is valid if ∫-∞∞f(x) dx=1…

Q: Let X be a continuous random variable with probability density function f(x) = 2 - x 1 2 0 < * <1…

A: Given that f(x)=x,0≤x≤12-x,1&lt;x≤20,otherwise

Q: 7. Let X be a continuous random variable with probability density function given by Se-(z-z0) x > x0…

A: Let X be the continuous random variable with probability density function is,  f(x) = { e^-(x-x0)…

Q: Let X be a random variable with uniform distribution on the interval [-2,2]. Let Y be defined as Y =…

A: X~ Uniform (-2,2)  Then we have to find pdf of Y=X5

Q: The probability density of the random variable Z isgiven by f(z) = kze−z2for z &gt; 00 for z F 0Find…

A: The required value is calculated as follows:

Q: Suppose that the continuous random variable X has CDF Fx(X) = {(x-2)/x , x&gt;2 and 0, x=&lt;2} a.…

A:

Q: the distribution function of a random varlable X be if x 1 (a) Find the probability density…

A: (a) f(x) = ddx Fx(x)            =  123 x2+2 x ; if 0≤x≤1                            0 , otherwise…

Q: The probability density function of a distribution is given by x f(x) = exp(-7). Use differentiation…

A:

Q: A machine has a useful life of 4 to 9 years, and its life (in years) has a probability density…

A: given pdf function fx=115+13xand x= machine has usefull life ; 4 ≤x≤7