Time headway in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. What is the probability that headway time is at most 5seconds given the function of a continuous random variable as:

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A: Given that the random variable X having a continuous uniform distribution with A=8 and B=11. The…

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A: It is given that:

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Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…

A: Solution-: Given: a=7, b=10 We want to find the probability that on a given day the amount of coffee…

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A: Provided information is, An average of 1 package is sent to a server in 1 second. The server, on the…

Q: When conducting research on color blindness in males, a researcher forms random groups with five…

A: x P(x) 0 0.668 1 0.281 2 0.047 3 0.003 4 0.001 5 0 Total 1

Q: When conducting research on color blindness in males, a researcher forms random groups with five…

A: Solution first we will check whether random variable x follows probability distribution. If ∑P(x)=1…

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A: a)  The probability that two successive arrivals exceed 20 minutes is obtained as follows:…

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A: we know that total probability is equal to…

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A: Given information: It is given that, a shipment of 8 television sets contains 2 defective sets. A…

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Q: Customers arrive at a busy checkout counter at an average rate of 3 per minute. If the distribution…

A: Given: X~Poisson(λ)λ=3

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A: The hypergeometric distribution is given by: PX=k=KkN-kn-kNn Where N is the population size K is the…

Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…

A:

Q: Discrete Random Variables Prove that fX is a true probability function, find its expected value and…

A: Given  X~Bin(n=3, p=0.80)

Q: Time headway in traffic flow is the elapsed time between the time that one car finishes passing a…

A: Given problem Given that

Q: Customers enter a department store at random at an average rate of six per minute. Determine the…

A: Customers enter a department store at random at an average rate of six per minute. Determine the…

Q: There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the number…

A: Solution: a. From the given information, the probability distribution of X is

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A: Given, Y 1 2 3 f(y) 130 430 930

Q: A local supermarket has three checkout counters. Two customers arrive at the counters at different…

A: Y1 = The number of customer who choose counter 1 Y2 = The number of customer who choose counter 2…

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Q: Census data are often used to obtain probability distributions for various random variables. Census…

A: We have given the Census data for families in a particular state with a combined income of $50,000…

Q: American Airline flights from Dallas to Chicago arrive on-time 80 % of the time. Suppose 15 flights…

A: According to the Bartleby guideline only three sub-parts of the question can be solved at one time ,…

Q: The amount of time you wait for the bus is uniformly distributed on the interval from 5 to 10…

A: Let X denote the amount of time you wait for the bus and it follows uniform distribution on interval…

Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…

A:

Q: Time headway in traffic flow is the elapsed time between the time that one car finishes passing a…

A: Assume, X be a random variable representing the headway time (in seconds) with density function as…

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A: Let us consider X be a random variable that denotes the mileage of the car. We have given that The…

Q: Census data are often used to obtain probability distributions for various random variables. Census…

A: Here, the given data is: No Children = 22%One Child = 30%Two Chidren = 27%Three Children = 21% Total…

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A: A continuous random variable X is said to follow Uniform distribution with parameters a and b, if…

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A: The properties of binomial probability distribution are; In binomial distribution, the experiment…

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A: Given that the mean time to process and cook a cheese pizza is 3 minutes, Rate parameter, μ=13 Then…

Q: High temperatures in a certain city for the month of August follow a uniform distribution over the…

A: Let X ~U 65,90The probability mass function is ,fx=1b-afx=190-65=125probability mass function…

Q: Persons entering a blood bank are such that 1 in 9 have type O+ blood and 1 in 30 have type O-…

A: There are 6 donors in a blood bank 1 in 9 have type O+ blood and 1 in 30 have type O- blood.

Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…

A:

Q: The time waiting when a telephone call is placed to an insurance company is uniformly distributed…

A: Answer - An insurance company is uniformly distributed between 0 and 14 minutes.                Find…

Q: An instant lottery ticket costs $2. Out of a total of 10,000 tickets printed for this lottery, 1000…

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Q: a) An oil company conducts a geological study that indicates that an exploratory oil well should…

A: For Part a] : Provided information is ; X is geometric random variable, since we are only looking…

Q: On Saturday mornings, customers enter a boutique at a suburban shopping mall at an average rate of…

A: Given that, Customers enter a boutique at a suburban shopping mall at an average rate of 0.5 per…

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Q: A fair coin is tossed 3 times. Let X be the number of heads among the first two tosses and number of…

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Q: What is the probability that a traveler with $50,000 income chooses to fly if the travel times and…

A: Given:   Utility for Car Utility for Air   param.  t stat Param. t stat Constant 0.63…

Q: a) There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the…

A: 1. To find out the probability distribution table Put x=0,1,2 in probability distribution  2. To…

Q: The cycle time for trucks hauling concrete to a highway construction site s uniformly distributed…

A: Solution: Let  X be the random variable that the cycle time for trucks hauling concrete to a highway…

Q: . Research shows that 17% of children are absent from school on at least five days during winter…

A: We have given that  Sample size n= 55 Success of probability = 0.17 X~binomial ( n,p)