Trains arrive at the yard every 10 minutes and the service time is 20 minutes. If the line capacity of the yard is limited to 5 trains find: Probability that an arriving train will find an empty space in the yard

Q: the cards is equaly likely each. . Find the probability that you will get at least one starting…

A:

Q: A coin tossed three times. Find the probability of getting Two heads and one tail show the working..

A: Given data: A coin tossed three times. To Find: The probability of getting Two heads and one tail.

Q: The probability of a man hitting the target is (i) If he fires 7 times, what is the probability of…

A: Solution:

Q: The probability that a student pilot passes the written test for a private pilot license is 0.7.…

A: Given data : The probability that a student pilot passes the written test for a private pilot…

Q: The probability that a patient is allergic to penicillin is 0.20. Suppose this drug is administered…

A: It is an important part of statistics. It is widely used.

Q: Hot Dogs Richard receives 5 delivery orders every 2 minutes. a. How many home orders are expected in…

A: Answer: Using the given data,

Q: A pair of dice is tossed. Find the probability that the sum on the 2 dice is 12, given that doubles…

A: We can get doubles for the cases : (1,1), (2,2) , (3,3) , (4,4) , (5,5) , (6,6) So total 6 cases for…

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Q: Use the​ "at least​ once" rule to find the probability of the following event. Getting rain at least…

A: Given: We have to use at least one rule

Q: a. Fill the table and find the total number of customers b. If one customer is selected at random,…

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Q: The probability that an egg from a pair of small parrots produces an albino chick is . If the…

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Q: A fair coin is tossed 3 times. Find the probability of tossing 3 tails in a row,  answer as a…

A: Let H denote heads Let T denote tails Let S be sample set   S={ HHH, HHT, HTH, THH,       TTT, TTH,…

Q: A die is rolled three times. Find the probability of obtaining a 6 on the first roll, a 5 on the…

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Q: The supplier sent a batch of 10000 parts to the customer. The probability of damage to one part…

A: In question, Given that The supplier sent a batch of 10000 parts to the customer. The probability of…

Q: Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent.…

A: Percentage of probability that Kay has to make a free throw ball is 80%. Number of free throws Kay…

Q: The probability that Ah Chong hits a target is 0.25. He fires six times. Find the probability that…

A: This is the case of binomial, as there are only two possible outcomes that are independent and where…

Q: Kay is an 80% probability of making a free-throw in basketball, and each free-throw is independent.…

A: Define the events A=Kay makes the first throw B=Kay makes the second throw

Q: a pair of dice is tossed. find the probability that the sum on the 2 dice is 6, given that doubles…

A: If a pair of dice is rolled, the outcomes are as follows: S = {(1, 1), (1, 2), (1, 3), (1, 4), (1,…

Q: Anuja is shooting at a target with probability of hitting p. She keeps shooting (infinitely) till…

A: The probability that Anuja hit target = pThe probability that Anuja hit target α consecutively in  α…

Q: The average number of calls received by an operator is 10 calls per day. Find the probability that…

A: Given that  The average number of calls received by an operator is 10 calls per day. Find the…

Q: A baseball player gets 15 hits in 50 times at bat. The probability of the batter getting a hit is

A: Given that the baseball player gets 15 hits in 50 times at bat.

Q: There are 1000 students in the year level and they have to participate in a certain activity. They…

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Q: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: Mustafiz is bowling beautiful cutters against the Aussies. He has bowled on the first over and also…

A: Given information is :

Q: The probability of a man hitting a target is If he fires 7 times what is the probability of his…

A:

Q: An automotive company produces in each day a batch of gear levels of N pieces, with the probability…

A: From the given information, N=1000 p=0.01 Nc=96 Na=2

Q: Find the probability that an elite athlete has a maximum oxygen uptake of at least 80.4 ml/kg. Find…

A: Let , X→N(μ=68.5 , σ=8.5) Our aim is to find the following probabilities :  a) P(X≥80.4) b)…

Q: Assume, the record shows that annual rainfall in a certain catch basin follows N(60, 15) (inches)…

A: According to the provided information, the annual rainfall in a certain catch basin follows N(60,…

Q: The probability that a man hits a target is 12 and that of his son and daughter are 25 and 15…

A: Note: Hi, thank you for the question. For the calculation it is considered that the probability that…

Q: (a) Find the probability that the waiting time is less than 18 minutes. The probability that the…

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Q: Find the probability you pick blue from the last box if you… Pick one marble from box 1, place it in…

A: Number of blue ball box 1 have 1. Number of white ball box 1 have 1. Number of blue ball box 2 have…

Q: a) Find the probability that there will be more than 4 customers in one minute b) A customer has…

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Q: A pair of dice is tossed. Find the probability that the sum on the 2 dice is 8, given that doubles…

A: Obtain the probability that the sum on the 2 dice is 8, given that doubles are rolled. The…

Q: The average number of phone inquiries each day at the customer service is 40. Find the probability…

A:

Q: The average time to get your order at a restaurant is 15 minutes. What is probability that you will…

A: here given ,  p(a ≤ X ≤ b) = ∫ab1μ e-x15 dx

Q: each form being successful is find the probability that he is successful in: a) 1 application. b)…

A:

Q: Lavon takes a commuter train into the city each day. The train stops at his stop every 30 minutes to…

A: Given  Stoppage time of the train = 30 minutes Time taken to reach the city = 12 minutes Lavon…

Q: SHOW COMPLETE SOLUTION. If 30% of the bolts produced by a machine are defective, determine the…

A: Given,n=4p=0.3q=1-0.3=0.7A random variable X~Binomial(n=4 , p=0.3)P(X=x)=4x0.3x0.74-x  ;…

Q: An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket…

A: Solution: Let X be the number of persons holding a ticket appears for the flight. From the given…

Q: A drunk walker takes a step left, right, up, or down with probability 1/4. Assuming that one step is…

A: A drunk walker takes a step left, right, up, or down with probability 14. One step is 3 feet and he…

Q: Find the probability of the compound event of rolling a die three times and obtaining a 5 or 6 on…

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Q: the probability that a missile hit the target is 0.90. If three missile of this type has been fired.…

A: Let, X=the number of missiles that hit the target. n=number of trials= 3 p=probability of success=…

Q: The probability of an event happening exactly twice in 4 trials is 18 times the probability of it…

A: The probability of an event happening exactly twice in 4 trials is 18 times the probability of it…

Q: Wes and his friend Anderson are taking a picture with 6 other people standing in a row. Find the…

A: Number of person standing in the row are 6.

Q: sion. Find the minimum number of throws to ensure that the probability of obtaining six on both the…

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Q: An exponential probability distrubution has a lambda equal to 24 customers per hour. What is the…

A: From the provided information, λ = 24 customer per hour The mean arrival time can be obtained as:

Q: . Find the probability that the lifetime of a given device exceeds 2 hours. 3. Find the probability…

A: Let X denote the lifetime of a certain type of electronic devices. It is given that X follows…

Q: At a college, 82 % of courses have final exams and 47 % of courses require research papers. Suppose…

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Q: American households have an average of 28 pounds of newspapers for garbage or recycling each month.…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…