Mark and John have decided to meet at the Pub 'Born to beStochastic' between noon and 1pm without waiting for more than 15 min for eachother. Assume Mark and John's arrival times at the Pub are independent randomvariables that are uniformly distributed in the time interval from noon to 1pm.Compute the probability of Mark and John meeting at the Pub.

Here, Mark and John have decided to meet at the pub 'Born to be Stochastic' between noon and 1pm…

Answered: Mark and John have decided to meet at…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A farmer has planted 12 new lemon trees of a special breed where the probability that the tree will give fruits the upcoming season is 0.7. What is the probability that less than 3 trees remain without fruits by the end of the upcoming season?
Please show work... and round probabilities to FOUR DECIMALS The following table summarizes results from 985 pedestrian deaths that were caused by accidents. Pedestrian Pedestrian was NOT Intoxicated intoxicated Driver was intoxicated 59 79 Driver was NOT 266 581 intoxicated If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. If two DIFFERENT pedestrian deaths are randomly selected, find the probability that they both involve intoxicated pedestrians. If we randomly select a pedestrian death, what is the probability that the pedestrian was intoxicated, given that the driver was intoxicated? If we randomly select a pedestrian death, what is the probability that the driver was intoxicated?
Guess that a person workout 6 days in a week. At each working days, he goes for either ‘A named Training ’ or ‘B named Training’. The probability that he chooses to train for "B named Training" on a single working day is 0.7. 1. Calculate the probability that exactly 5 of the 6 days he’ll go for "B named Training". 2. What is the probability that he trains for ‘A named Training’ at least twice in 6 days ? c. Find the EXPECTED number of "B named Training-days"
A delivery truck travels from point A to point B and back using the same route each day. There are four traffic lights on the route. Let X1 denote the number of red lights the truck encounters going from A to B and X2 denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (X1, X2) is given by Please show complete solution.
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 43 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6880lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,880lb/43 = 160lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 183.6 lb and a standard deviation of 36.9
A cellular call is made to your cell phone at random within a ten-minute interval. You werebusy on a call for 2 minutes into this ten-minute period. There is a probability that the callarrived when you were not busy on your cell. Identify the random variable and define thedistribution of the random variable?
Suppose an online shop is selling 10 scientific calculators but the seller is unaware that 2 of these calculators are defective. Suppose you buy 3 scientific calculators from this shop, determine the (a) probability distribution (tabulate) and the (b) cumulative distribution of the random variable X representing the number of the scientific calculators that are defective. and what is the probability that all calculators bought from the shop are functioning properly and what if only 1 calculator is functioning properly
A bank teller successfully completes 85% of all transactions and within four minutes and 26 customers into the bank what is the probability that the Taylor will complete fewer than 20 of these transactions within four minutes round your answer to the nearest thousands place
Suppose you have just received a shipment of 28 modems. Although you don't know this, 4 of the modems are defective. To determine whether you will accept the shipment, you randomly select 9 modems and test them. If all 9 modems work, you accept the shipment. Otherwise, the shipment is rejected. What is the probability of accepting the shipment? The probability of accepting the shipment is (Round to four decimal places as needed.)
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 43 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,181 Ib. The pilot 7,181 lb sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than - = 167 Ib. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an 43 overloaded aircraft? Assume that weights of men are normally distributed with a mean of 178.9 lb and a standard deviation of 35.4. The probability is approximately (Round to four decimal places as needed.)
A large industrial firm purchases several new word processors at the end of each year, the exact number depending on the frequency of repairs in the previous year. Suppose that the number of word processors, X, purchased each year has the following probability distribution: X 3 0.1 4 0.4 f(x) 0.3 0.2 If the cost of the desired model is PKR 14500/= per unit and at the end of the year a refund of 32X2 rupees will be issued, how much can this firm expect to spend on new word processors during this year?
Suppose you have just received a shipment of 18 modems. Although you don't know this, 3 of the modems are defective. To determine whether you will accept the shipment, you randomly select 4 modems and test them. If all 4 modems work, you accept the shipment. Otherwise, the shipment is rejected. What is the probability of accepting the shipment? The probability of accepting the shipment is (Round to four decimal places as needed.)

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