need the solve asap 3. There are two food carts serving food at a local park. At any given time, Let A denote the numberof customers in line at Food Cart A, and let B denote the number of customers in line at FoodCart B. The joint PMF of A and B is as given in the following table.В12A0.090.050.0310.010.010.050.0420.080.060.10.0730.030.010.140.010.150.050.06a. What is P(A = B), that is, the probability that the numbers of customers in the two linesare identical?b. What is the probability that the total number of customers in the two lines is exactly four?At least four?c. Determine the marginal PMF of A and B and then calculate the expected number ofcustomers in line at Food Cart B.d. If at a given time there are 3 customers in line at Food cart A, what is the probability of 2customers being in line at Food Cart B?e. Are A and B independent random variables? Explain. 7. The mode and variance of the daily income of 2000 workers are Tk. 100 and Tk? 36 respectively.The income of workers are distributed normally.a. Find the expected number of workers whose daily income arei. between Tk. 100 and Tk. 105ii. greater than Tk. 110iii. less than Tk. 90iv. less than Tk. 90 or greater than Tk. 107b. Determine the 85th percentile value for the daily income of the 2000 workers.

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10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...