The cumulative distribution function of the amount of time it will take you to finish this...
The cumulative distribution function of the amount of time it will take you to finish this homework assignment (in hours) is given by F(t) = t 2 4 for t between 0 and 2 (a) Find the probability density function (b) Find the probability that the duration is between 45 min to 1 hour (c) Find the expected value for the amount of time the assignment will take
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The cumulative distribution function of the amount of time it
will take you to finish this...
The time it takes a student to finish a chemistry test is uniformly distributed between 50...
The time it takes a student to finish a chemistry test is uniformly distributed between 50 and 70 minutes. What is the probability density function for this uniform distribution? Find the probability that a student will take between 40 and 60 minutes to finish the test. Find the probability that a student will take no less than 55 minutes to finish the test. What is the expected amount of time it takes a student to finish the test? What is...
1. You are given a function (a) Show that F(x) is a cumulative distribution function of...
1. You are given a function (a) Show that F(x) is a cumulative distribution function of a certain random variable X on [3, 4]. (b) function associated with F(x Find the probability density (c) Calculate the probability that X is no more than 3.5, given that it exceeds 3.2. (d) Determine the expected value of X.
2.5.12. The length of time that an individual talks on a long-distance telephone call has been...
2.5.12. The length of time that an individual talks on a long-distance telephone call has been found to be of a random nature. Let X be the length of the talk; assume it to be a continuous random variable with probability density function given by 0, elsewhere. Find (a) The value of a that makes fx) a probability density function. (b) The probability that this individual will talk (i) between 8 and 12 min, (ii) less than 8 min,i) more...
Question 13 The cumulative distribution function of X is given by Fx (x) = {-kr <0...
Question 13 The cumulative distribution function of X is given by Fx (x) = {-kr <0 0<x<2 > 2 Find (a) the value of k, (b) the probability density function fx (x), (c) the median of X, (d) the variance of X.
Will rate! Let X denote the amount of time a book on two-hour reserve is actually...
Will rate!
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF, cumulative density function, is the following F(x) - Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places) (a) Calculate P(X s 1). (b) Calculate P(0.5 s X s 1). (c) Calculate P(x > 1.5). (d) what is the median checkout duration μ? [.olve o.s-r(p)]. (e) Obtain the probability density...
Let X denote the amount of time a book on two-hour reserve is actually checked out,...
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF, cumulative density function, is the following:\(F(x)= \begin{cases}0 & x<0 \\ \frac{x^{2}}{4} & 0 \leq x \leq 2 \\ 1 & 2 \leq x\end{cases}\)Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places.)(a) Calculate P(X ≤ 1).(b) Calculate P(0.5 ≤ x ≤ 1).(c) Calculate P(x>1.5).(d) What is the median checkout duration \tilde{μ} ?...
Let X denote the amount of time for which a book on 2-hour reserve at a college library is checke...
Let X denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a randomly selected student and suppose that Xhas cumulative distribution function, CDF 4 1 2 2 Use this to compute the following a. P(Xs 1) b. P(0.5 XS1.5) d. Determine the median checkout duration. That is find x such that F(x) = 0.5. e. Compute F') to obtain the density function fo) f. Determine E(X) and Var(X).
Let...
PHYS1047 a) Given a random variable x, with a continuous probability distribution function fx) 4 marks...
PHYS1047 a) Given a random variable x, with a continuous probability distribution function fx) 4 marks b) The life expectancy (in days) of a mechanical system has a probability density write down equations for the cumulative distribution C(x) and the survival distribution Px). State a relationship between them. function f(x)=1/x, for x21, and f(x)=0 for x <1. i Find the probability that the system lasts between 0 and I day.2 marks i) Find the probability that the system lasts between...
A company offers prizes to their employees depending on the time it takes them to complete...
A company offers prizes to their employees depending on the time it takes them to complete an assignment. Employees receive a 300, 200 or 100 euros gratification if the assignment is completed in less than 10 hours, between 10 and 15 hours or in more than 15 hours, respectively. The probability of completing the task in each of these cases is 0.1, 0.4 and 0.5 respectively. a) Find the probability distribution function, the cumulative probability function and the expected value...
12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F()...
12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F() = 0, <a Inx, a < x <b 1, b<a (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
1. You are given a function (a) Show that F(x) is a cumulative distribution function of a certain random variable X on [3, 4]. (b) function associated with F(x Find the probability density (c) Calculate the probability that X is no more than 3.5, given that it exceeds 3.2. (d) Determine the expected value of X.
2.5.12. The length of time that an individual talks on a long-distance telephone call has been found to be of a random nature. Let X be the length of the talk; assume it to be a continuous random variable with probability density function given by 0, elsewhere. Find (a) The value of a that makes fx) a probability density function. (b) The probability that this individual will talk (i) between 8 and 12 min, (ii) less than 8 min,i) more...
Question 13 The cumulative distribution function of X is given by Fx (x) = {-kr <0 0<x<2 > 2 Find (a) the value of k, (b) the probability density function fx (x), (c) the median of X, (d) the variance of X.
Will rate!
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF, cumulative density function, is the following F(x) - Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places) (a) Calculate P(X s 1). (b) Calculate P(0.5 s X s 1). (c) Calculate P(x > 1.5). (d) what is the median checkout duration μ? [.olve o.s-r(p)]. (e) Obtain the probability density...
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF, cumulative density function, is the following:\(F(x)= \begin{cases}0 & x<0 \\ \frac{x^{2}}{4} & 0 \leq x \leq 2 \\ 1 & 2 \leq x\end{cases}\)Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places.)(a) Calculate P(X ≤ 1).(b) Calculate P(0.5 ≤ x ≤ 1).(c) Calculate P(x>1.5).(d) What is the median checkout duration \tilde{μ} ?...
Let X denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a randomly selected student and suppose that Xhas cumulative distribution function, CDF 4 1 2 2 Use this to compute the following a. P(Xs 1) b. P(0.5 XS1.5) d. Determine the median checkout duration. That is find x such that F(x) = 0.5. e. Compute F') to obtain the density function fo) f. Determine E(X) and Var(X).
Let...
PHYS1047 a) Given a random variable x, with a continuous probability distribution function fx) 4 marks b) The life expectancy (in days) of a mechanical system has a probability density write down equations for the cumulative distribution C(x) and the survival distribution Px). State a relationship between them. function f(x)=1/x, for x21, and f(x)=0 for x <1. i Find the probability that the system lasts between 0 and I day.2 marks i) Find the probability that the system lasts between...
12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F() = 0, <a Inx, a < x <b 1, b<a (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
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