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Find k such that each function is a probability density function over the given interval. Then write the probability density function.
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- Find k such that the function is a probability density function over the given interval. Then write the probability density function. f(x) = k e*, [3,9] k = (Type an exact answer.) The probability density function is f(x) = (Type an exact answer.)arrow_forwardFind k such that the function is a probability density function over the given interval. Then write the probability density function. f(x) x² [10,70] What is the value of k? k= (Type an exact answer.) What is the probability density function? f(x) = (Type an exact answer.)arrow_forwardFind k such that the function is a probability density function over the given interval. Then write the probability density function. f(x)=k(3-x), 0≤x≤3 What is the value of k? k = 1 (Simplify your answer.) What is the probability density function? f(x) =arrow_forward
- Determine whether the following function is a probability density function. f(x) = x, 0sxs8 32 Is the function f(x) a probability density function? No Yesarrow_forwardFind k such that the function is a probability density function over the given interval. Then write the probability density function. f(x) = k(5 – x), 0arrow_forwardIf a probability density function for X is f(x) define F(x) over the whole real line. = 2(x+1)² for 0 < x < 2, find F(x). Make sure youarrow_forwardFind k such that the function is a probability density function over the given interval. Then write the probability density function. f(x) = k(2 - x), 0arrow_forwarduse a graphing utility to graph the function. Determine whether the function f represents a probability density function over the given interval. If f is not a probability density function, identity the conditions that is (are) not satisfied f(x) =((4-x)/8) , [0,4]arrow_forwardLet X be a discrete random variable with probability density function: FUNCTION IS IN THE IMAGE Find C. Find P(X < 2). Find E(X). Find V(X).arrow_forwardDecide whether or not the function is a probability density function on the indicated interval. 3 [3, 5] f(x) = 98 No Yes Click to select your answer. 2 Type here to search 99+arrow_forwardDetermine whether f(x) is a probability density function on the interval [0, 4]. If not, determine the value of the definite integral. f(x) = 3x² 256arrow_forwardlet X denotes the percentage of time out of a 40-hour workweek that a call center agent is directly serving a client by answering phone calls. Suppose that X has a probability density function defined by f(x) =3x² for 0 ≤ x ≤ 1. Find the mean and variance of X. Interpret the results.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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