A particular professor never dismisses class early. Let x denote the amount of time past the...
3. Let th e random variable Ti denote the time you must wait to place your order in a fast-food restaurant, let Tz denote the time that it takes to place your order after you reach the counter, let s denote the time that it takes to receive vour food after you've placed your order, and let T enote the time that it takes to east vour food after you've received it. Assume that all of these random variables are...
2. (20 points) The professor of an IOE class may end the lecture early, on time, or late on any given day. Students have noticed that they can forecast the probability of ending the class on time based on the ending time of the previous lecture. Experience shows that after ending a lecture early, the Professor tries to make up the time by runing late the next class 7 times out of 10, the rest of the time she follows...
[6] 3. Let z be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the density curve is as pictured Density 0.05 20 Minutes (a) What is the probability that is less than 5 minutes? (b) What is the probability that is between 10 and 12 minutes? 4/9 (c) Find the value c for which P(x <c) -0.9.
Let T denote the time in minutes for a customer service representative to respond to 10 telephone inquiries. T is uniformly distributed on the interval with endpoints 8 minutes and 12 minutes. Let R denote the average rate, in customers per minute, at which the representative responds to inquiries. 4. Which of the following is the density function of the random variable R on the interval 10 10 12 (B) 3-5 (c) 3r SIn(r) D)7 CE) 2r 10
A certain math instructor always arrives for class at most 5 minutes early or at most 5 minutes late Any amount of time early or late within the interval [-5,5] s eally likely, with negative values corresponding to being early and positive values corresponding to being late. a. What pdf would you choose to model the random variable X representing the amount of time early or late? b. Find the probability of being: ii. at most 2 minutes early; iv....
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...
do with a ti 84 and explain how you got your answers the reaction time X (in minutes) of a certain chemical process follows a uniform probability distribution with 5 < X < 10. draw a graph of the density curve. what is the probability that the reaction time is between 6 and 8 minutes? what is the probability that the reaction time is between 5 and 8 minutes? what is the probability that the reaction time is less than...
Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in 221 to 240 minutes? Round your answer to four decimal places.
Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 195 minutes and a standard deviation of 24 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 187 minutes? Round your answer to four decimal places. Attach File Browse My Computer Browse Dropbox Browse Content Collection QUESTION 5 The GPAs of all students enrolled...
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: lo <0 F(x) = { x 0SXS 2 (1 25X Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(XS1). (b) Calculate P(0.5 SX S1). (c) Calculate P(x > 1.5). (d) What is the median checkout duration ï? (solve 0.5 = F )....