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CUIL yuuical HWYUU YUL 1. (12 points; 4, 4, 4) A study has shown that if...
4. The time needed by athletes in any particular marathon to complete a 1 hour run...
4. The time needed by athletes in any particular marathon to complete a 1 hour run is a random variable X with PDF given by |t(x + x2), if 0 < x < 1 f(x) = { 10, Otherwise (i) Find the value ” ť” that makes f(x) a PDF. (ii) Find CDF of X. (iii) Use the CDF to find P(X < 0), P(X < 1) and P(X < 2).
The distance X between trees in a given forest has a probability density function given f...
The distance X between trees in a given forest has a probability density function given f (x) cex/10, x >0, and zero otherwise with measurement in feet i) Find the value of c that makes this function a valid probability density function. [4 marks] ii) Find the cumulative distribution function (CDF) of X. 5 marks What is the probability that the distance from a randomly selected tree to its nearest neighbour is at least 15 feet. iii) 4 marks) iv)...
Please answer me clearly so I can read well BSP2014 Tutorial 2 1. Check whether the...
Please answer me clearly so I can read well
BSP2014 Tutorial 2 1. Check whether the given function can serve as the probability mass function(p.m.f.) of a random variable 2forx-1,2, 3,4, 5 ii) Ax)for-0,1,2, 3,4 2. A random variable X has the following probability distribution. 0.1 2k 0.3 i)Find k ii)Evaluate PX2 and P-2X2) iii) Find the CDF of X 3. If X has the cumulative distribution function, CDF Fix) = I/2 , 1 xc3 x25 Find a) PXS 3)...
[25 points] Problem 4 - CDF Inversion Sampling ers coming from the U(0, 1) distribution into...
[25 points] Problem 4 - CDF Inversion Sampling ers coming from the U(0, 1) distribution into In notebook 12, we looked at one method many pieces of statistical software use to turn pseudorandom those with a normal distribution. In this problem we examine another such method. a) Simulating an Exponential i) The exponential distribution has pdf f(x) = le-ix for x > 0. Use the following markdown cell to compute by hand the cdf of the exponential. ii) The cdf...
please help with question 1. please answer question in table format. thank you the website...
please help with question 1. please answer question in
table format. thank you
the website that was posted in the
scenario is attached showing the price of gas in ny harbor. please
help with question 1. Thanks
BICI DEL G H I Cal Overhaut operates an ExxonMobil gas station franchise in Fitzhugh, MD. The price of gasoline is volatile and varies significantly from day to day. The price per gallon varies based on the seasonal blend of gasoline, which...
please help with question #1. please use % change in quantity divided by % change...
please help with question #1. please use
% change in quantity divided by % change in price formula. thanks
for your help.
Cal Overhaut operates an ExxonMobil gas station franchise in Fitzhugh, MD. The price of gasoline is volatile and varies significantly from day to day. The price per gallon varies based on the seasonal blend of gasoline, which is determined by clean-air requirements. Cal's pricing options are based on the desired profit margin Conventional Gasoline Regular Spot Prices...
Problem 2 (25 points): (Transportation problem) A car manufacturer has three assembly lines, Plant A, B,...
Problem 2 (25 points): (Transportation problem) A car manufacturer has three assembly lines, Plant A, B, and C and three distribution centers: Center I, II, and III. Every day, Plant A can assemble at most 200 cars, Plant B can assemble 150 cars, and Plant C can assemble 250 Cars. Distributor I requires at least120 cars/day. Distribution II requires at least 270 cars a day and Distribution III requires at least 200 cars a day. The cost for transpiration one...
SELF ASSESSMENT B A commuter travels into town by KTM train and then has to catch...
SELF ASSESSMENT B A commuter travels into town by KTM train and then has to catch a bus from station to the office. The time, X minutes, that the commuter has to wait for the bus can be modelled by the probability density function: f(x) = 0.5k(6 - x) ,0 SX4 ,4<xs6 otherwise where kis a constant. i. Find the value of k. ii. Sketch the graph of F(x) versus X. iv. Using F(x), show that the probability the commuter...
4.4.19 Random variableX has PDE fx(a)-1/4 -1s-33, 0 otherwise Define the random variable Y by Y...
4.4.19 Random variableX has PDE fx(a)-1/4 -1s-33, 0 otherwise Define the random variable Y by Y = h(X)X2. (a) Find E[X and VarX (b) Find h(E[X]) and Eh(X) (c) Find ElY and Var[Y .4.6 The cumulative distribution func- tion of random variable V is 0 Fv(v)v5)/144-5<7, v> 7. (a) What are EV) and Var(V)? (b) What is EIV? 4.5.4 Y is an exponential random variable with variance Var(Y) 25. (a) What is the PDF of Y? (b) What is EY...
Cal Overhaut operates an ExxonMobil gas station franchise in Fitzhugh, MD. The price of gasoline is...
Cal Overhaut operates an ExxonMobil gas station franchise in Fitzhugh, MD. The price of gasoline is volatile and varies greatly from day to day. The price per gallon varies based on the seasonal blend of gasoline, which is determined by clean-air requirements, and Cal's pricing choices are limited to the profit margin for his price. Base price of unleaded regular delivered in New York harbor (Sept 2018 060 Added cost to Cal: 0.335 0.184 0.090 0.030 He recently raised the...
4. The time needed by athletes in any particular marathon to complete a 1 hour run is a random variable X with PDF given by |t(x + x2), if 0 < x < 1 f(x) = { 10, Otherwise (i) Find the value ” ť” that makes f(x) a PDF. (ii) Find CDF of X. (iii) Use the CDF to find P(X < 0), P(X < 1) and P(X < 2).
The distance X between trees in a given forest has a probability density function given f (x) cex/10, x >0, and zero otherwise with measurement in feet i) Find the value of c that makes this function a valid probability density function. [4 marks] ii) Find the cumulative distribution function (CDF) of X. 5 marks What is the probability that the distance from a randomly selected tree to its nearest neighbour is at least 15 feet. iii) 4 marks) iv)...
Please answer me clearly so I can read well
BSP2014 Tutorial 2 1. Check whether the given function can serve as the probability mass function(p.m.f.) of a random variable 2forx-1,2, 3,4, 5 ii) Ax)for-0,1,2, 3,4 2. A random variable X has the following probability distribution. 0.1 2k 0.3 i)Find k ii)Evaluate PX2 and P-2X2) iii) Find the CDF of X 3. If X has the cumulative distribution function, CDF Fix) = I/2 , 1 xc3 x25 Find a) PXS 3)...
[25 points] Problem 4 - CDF Inversion Sampling ers coming from the U(0, 1) distribution into In notebook 12, we looked at one method many pieces of statistical software use to turn pseudorandom those with a normal distribution. In this problem we examine another such method. a) Simulating an Exponential i) The exponential distribution has pdf f(x) = le-ix for x > 0. Use the following markdown cell to compute by hand the cdf of the exponential. ii) The cdf...
please help with question 1. please answer question in
table format. thank you
the website that was posted in the
scenario is attached showing the price of gas in ny harbor. please
help with question 1. Thanks
BICI DEL G H I Cal Overhaut operates an ExxonMobil gas station franchise in Fitzhugh, MD. The price of gasoline is volatile and varies significantly from day to day. The price per gallon varies based on the seasonal blend of gasoline, which...
please help with question #1. please use
% change in quantity divided by % change in price formula. thanks
for your help.
Cal Overhaut operates an ExxonMobil gas station franchise in Fitzhugh, MD. The price of gasoline is volatile and varies significantly from day to day. The price per gallon varies based on the seasonal blend of gasoline, which is determined by clean-air requirements. Cal's pricing options are based on the desired profit margin Conventional Gasoline Regular Spot Prices...
Problem 2 (25 points): (Transportation problem) A car manufacturer has three assembly lines, Plant A, B, and C and three distribution centers: Center I, II, and III. Every day, Plant A can assemble at most 200 cars, Plant B can assemble 150 cars, and Plant C can assemble 250 Cars. Distributor I requires at least120 cars/day. Distribution II requires at least 270 cars a day and Distribution III requires at least 200 cars a day. The cost for transpiration one...
SELF ASSESSMENT B A commuter travels into town by KTM train and then has to catch a bus from station to the office. The time, X minutes, that the commuter has to wait for the bus can be modelled by the probability density function: f(x) = 0.5k(6 - x) ,0 SX4 ,4<xs6 otherwise where kis a constant. i. Find the value of k. ii. Sketch the graph of F(x) versus X. iv. Using F(x), show that the probability the commuter...
4.4.19 Random variableX has PDE fx(a)-1/4 -1s-33, 0 otherwise Define the random variable Y by Y = h(X)X2. (a) Find E[X and VarX (b) Find h(E[X]) and Eh(X) (c) Find ElY and Var[Y .4.6 The cumulative distribution func- tion of random variable V is 0 Fv(v)v5)/144-5<7, v> 7. (a) What are EV) and Var(V)? (b) What is EIV? 4.5.4 Y is an exponential random variable with variance Var(Y) 25. (a) What is the PDF of Y? (b) What is EY...
Cal Overhaut operates an ExxonMobil gas station franchise in Fitzhugh, MD. The price of gasoline is volatile and varies greatly from day to day. The price per gallon varies based on the seasonal blend of gasoline, which is determined by clean-air requirements, and Cal's pricing choices are limited to the profit margin for his price. Base price of unleaded regular delivered in New York harbor (Sept 2018 060 Added cost to Cal: 0.335 0.184 0.090 0.030 He recently raised the...
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