2. if f(x) is a probability density function of a continuous random variable, then ...... ...dx = 88

Q: (x) 0.5 1 (a) 2 (b) -1 (c) f(x) =, 0 < x < 2 (d) f(x) = x², 1<x<2 2) The probabilities of events A,…

A: It is an important part of statistics. It is widely used. Since the question has multiple sub parts…

Q: f (x) = cx, for 1<x<2 and 0 otherwise. Vhat is the value of c? А. 1/4 В. 1/2 C. 2/3 D. 1

A: Given,f(x)=cX     ;   1≤X≤20        ;   otherwise

Q: A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is…

A: Given: f(t) = 0.008e-0.11t  if t ≥ 0

Q: f(x) = {6(x − 12) (13 − x) 12<x<13 - 0 otherwise

A: The probability density function f(x) is associated with the a continuous random variable X. The…

Q: 1. h(t)= The time to repair a power generator is best described by the following probability density…

A: Let T be the time to repair a power generator. the probability density function of T is h(t) =t2333,…

Q: If the moment generating function of a random variable Y is Find the probability density function of…

A:

Q: Suppose a continuous random variable X has a probability density function given by f(x) = kx²(1 – x)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which of the following tables shows a valid probability density function? Select all correct…

A: The sum of all probabilities of probability distribution function is always 1 and probabilities…

Q: (c) Find the conditional probability density function fy|x=r (d) Are the random variables X and Y…

A: We have to find the conditional pdf of Y given X. For this we have to find the marginal pdfs of X…

Q: (b) Use the given probability information to set up a hypothetical 1,000 table with columns…

A: From the given information, P(D)=0.168, P(T)=0.394 and P(D∩T)=0.076.

Q: The probability density function of the random variable X is as follows: f(x) = {c (3x² + 1), 0<1<2…

A: Solution

Q: (b) Find E(X). Find Var(X). otherwise.

A: Pdf of X is f(x)=132(8−x) , 0 ≤ x ≤ 8.

Q: a) On a particular trading day, you are going to buy shares of the stock that is the cheapest. Find…

A:

Q: 6. [2] A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold…

A: Given Data: Let us consider the probability function is given by: ft=0.01e-0.012t,t≥00,otherwise (a)…

Q: Hanny

A: a) PDF of Xf(x)=6xe−3x2,x≥0b)mean =0.5118median=0.4807mode=0.4082Explanation:

Q: AASAp

A: The problem can be solved using the properties of the probability density function.

Q: eu = for 0 < x. Determine The probability density function of the time you arrive at a terminal (in…

A: See the below solution

Q: 2. The time taken (in hours) by a response team to attend to a complaint is a continuous random…

A:

Q: A random variable X has a distribution function given by: (0, F(x)= {k(x-1)*, 13 1. Determine the…

A: Probability is the chances of occurrence of an event. The probability density function f(x) gives…

Q: The table below shows a probability density function for a discrete random variable X. What is the…

A: x P (X=x)  0 1/12 1 5/12 2 1/12 3 1/6 4 1/6 5 1/12

Q: The ran (a) Show the graph of the probability density function. f(x) 1 f(x) 3 3 2 1 0.5 1 1.5 2 2.5…

A:

Q: the table below shows a probability density function for a discrete random variable X that is the…

A: Given the probability  density function for a discrete random variable X. We have to find the…

Q: 16. For the probability density function shown, what is the probability of the random variable æ…

A: To find: The probability of the random variable x being less than 1/3 ?

Q: 2) Consider the random variable Y has a normal distribution with the following probability density…

A: Given Y follow normal distribution and its probability density function is shown below…