Suppose a continuous random variable X has the following CDF:: F(x) = 1 - 1/ (x+1)4, x > 0. Find SX (x), survival function? a 1/(x+1)4, x < 0 b -1/(x+1)4, x > 0 c (x+1)4, x > 0 d 1/(x+1)4, x > 0
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Suppose a continuous random variable X has the following CDF::
F(x) = 1 - 1/ (x+1)4, x > 0.
Find SX (x), survival
We have given,
A continuous random variable has the following CDF:
Step by step
Solved in 2 steps
- When X is a binomial random variable, then the probability X ≤ r successes can be found using the formula or the calculator command: binompdf(n, p, r). P(X < r) = binomcdf(n,p,r-1) P(X > r) = 1 - P(X ≤ r ) = 1 - binomcdf(n,p,r) P(X ≥ r) = 1 - P(X < r) = 1 - binomcdf(n,p,r-1) If X is a binomial random variable, where there are 175 trials, and p = 0.057 find P(X ≥ 2)If X is a random variable in the range 1≥x≥0, and f(x) = k(x^4-2), then the value of k is 1- 3/5 2-5/3 3-15 4-5 Select one optionFor a discrete random variable X, find Var(X) if* Var (5 - 2X) = 12 a)2 b)1 c)3 d)6
- If is a random variable that has a uniform distribution on the interval [0, 10], then p(x+ 27) PX+ is equal toSuppose the distribution of some random variable X is modeled as Negative binomial with parameters, p and r, where p is the probability of success and r is the total number of success over the trials. Find the method of moment (MM) estimators for (p,r), in closed algebraic form expressions based on a random sample of size n, X1, X2,...,Xn.Suppose X~ Uniform [10, 50], find: P70 Variance (X)
- Suppose model (XY, XZ, YZ) holds in a 2 x 2 x 2 table, and the common XY conditional log odds ratio at the two levels of Z is positive If the XY and YZ conditional log odds ratios are both positive or both negative, show that the XY marginal odds ratio is larger than the XY conditional odds ratio.An ordinary (fair) coin is tossed 3 times. Outcomes are thus triple of “heads” (h) and tails (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is hht, then R (hht)=1. Suppose that the random variable X is defined in terms of R as follows X=6R-2R^2-1. The values of X are given in the table below. A) Calculate the values of the probability distribution function of X, i.e. the function Px. First, fill in the first row with the values X. Then fill in the appropriate probability in the second row.(3) Let X be a random variable with p.d.f. 2k 3x f(x)= ISuppose the lifespan (in months) of a smartphone battery can be modeled as a continuous random variable with CDF F(x) = 1 − e-x/3 x ≥ 0 What is the probability that the battery lasts between 12 to 15 months?Let X be a random variable that can take values x = 2,4,6,8 and has probabilities given by the function P(X = x) = 3x/60 Find (1) P(X = 4) (2) P (X ≤ 6) (3) P(X < 6) (4) P (X ≥ 3)For each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous. (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfishSEE MORE QUESTIONS
