Question: 9. The time T that it takes for a student to complete a one-hour exam is a random variable with probability density function f(t) =

9. The time T that it takes for a student to complete a one-hour exam is a random variable with probability density function f(t) = 20:3 (1 t), 0 s 1' $1. (a) Determine the probability that it takes a student more than 45 minutes to complete the exam. (b) Determine the expected value and variance of the amount of time it takes to complete the exam

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Telephone calls for the YakLine, a discount long distance carrier, are routed through a variety of switching devices that interconnect various network hubs in different cities. The maximum number of...

GIVE DETAILED WORKING IN ALL QUESTIONS. Suppose that a game is to be played with a single die assumed fair. In this game a player wins $20 if a 2 turns up, $40 if a 4 turns up; loses $30 if a 6 turns...

3. Buses arrive to a bus stop according to an exponential distribution with rate ?= 4 busses/hour. If you arrived at 8:00 am to the bus stop, a) what is the expected time of the next bus? b) Assume...

BUSA 2000 Statistical Analysis for Business Short Exercise 6 Question 1. The random variable x is known to be uniformly distributed between 1.0 and 1.5. a. Show the graph of the probability density...

Problem 3 [25 marks] Let T be a continuous random variable denoting the amount of time a UBC student waits for the 99 B-Line in the morning to get to class. Suppose T is defined for waiting times...

INFERENCE STATISTICS NEED HELP FROM QUESTION F TO QUESTION I (c) Show that f (x L8) belongs to the regular l-paranieter exponential family by showing that the probability density function can be...

&+ help here plss. 9. One-shot DMP model (inspired by Albrecht, Navaro and Vroman (2010]) Time: One period Demography: A unit mass continuum of workers and a larger mass of firms who can create...

Formularium Management III Kevin Denis June 18, 2014 Use at own risk. Part I Inventory Control 1 Known demand (p198) 1.1 Basic EOQ model (p210) Assumptions: 1. Demand is xed at units per unit time....

Help in answering this 7. (5 points) You are constructing Table M for a particular risk with a retrospective rating plan. (a) (1 point) Express the Table M charge, p(), as an integral, where r is the...

Show the workings in each. 20. Compare the adjustment to medium run equilibrium after a fiscal contraction of a fixed and flexible exchange rate economy. What happens in the short run and during the...

The time it takes for a student to complete a final exam is a random variable having a normal distribution with mean 160 minutes and standard deviation of 16 minutes. Four friends are writing the...

Static versus flexible budget variances Dan Ludwig is the manufacturing production supervisor for Atlantic Lighting Systems. Trying to explain why he did not get the year-end bonus that he had...

Checkov, Inc. is purchasing Sulu Corp. Information relating to Checkov and Sulu immediately before the acquisition is as follows: Balance sheet values for Checkov Estimated fair Bal sheet values for...

Prepare the necessary adjusting entries at December 3 1 , 2 0 2 2 , for the Jasper Company for each of the following situations. Assume that no financial statements were prepared during the year and...

What are the ethical obligations of a business to its employees, customers, and the community? Right answer