A new restaurant open up in downtown LA. The waiting time for a customer to be seated can be modeled as an exponential distribution. The averaged waiting time is 45 minutes. (a) What is the parameter of the Exponential distribution? What is it equal to in this problem? (b) What is the probability of a customer waits 30 to 40 minutes to be seated? (c) A customer has been waiting for 45 minutes but still haven't been seated. What is the probability that this customer is seated after waiting for 60 minute since he lined in the queue?

Q: The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours.…

A:

Q: When a hand of 5 cards is dealt from a standard deck of 52 cards, what is the probability that a…

A: Given information:- Number of blue face on a special die = 1 Number of green face on a special die =…

Q: You are interested in the effect of a factory being inspected on its pollution output, measured here…

A: When the number of reported violations goes from 9 to 10, the probability of being inspected jumps…

Q: A manufacturing plant uses a specific bulk product. The amount of product used in one day can be…

A: It is given that the amount of product used in one day can be modelled by an exponential…

Q: ABC Company is concerned about the amount of time their representatives spend on the phone with…

A: Given information- We have given the exponential distribution. We have given that the average time…

Q: (c) When is this distribution used in the real world?

A: The Weibull distribution is commonly used in the real world to model failure times of components,…

Q: (a) the average time in the line. (b) the average number in the line. (c) the average time in the…

A: Here Given  Arrival Rate=λ= 10 Customer per hour Service rate = μ =604= 15 Customer per hour…

Q: The average lifetime of a certain new cell phone is 4 years. The manufacturer will replace any cell…

A: Let X be the life of cell phone  X~exp(λ=4) We want to find the probability P(X≤3)=?

Q: The cost of items at a supermarket follow an exponential distribution. There are many inexpensive…

A: X~exp(λ=13)

Q: For each probability and percentile problem, draw the picture. The time (in years) after reaching…

A: Given, The time (in years) after reaching age 60 that it takes an individual to retire is…

Q: Based on historical data, on average, Florida experiences one flooding event every 2.4 months.…

A:

Q: The random variable X is exponentially distributed, where X represents the time it takes for a…

A:

Q: each probability and percentile problem, draw the picture. The time (in years) after reaching age…

A:

Q: ailure rate per hour

A: The device has an advertised failure rate of 0.01 per hour.The failure rate is constant.The…

Q: The time (in years) after reaching age 60 that it takes an individual to retire is approximately…

A:

Q: For each probability and percentile problem, draw the picture. The cost of all maintenance for a…

A:

Q: The random variable X is exponentially distributed, where X represents the time it takes for a…

A: The exponential distribution is usually used in measuring time. The density function is,…

Q: 2. Explain how cumulative frequency distributions are obtained. What do they allow us to do?

A: *answer :    The cumulative frequency is calculated by adding each frequency from a frequency…

Q: Gertrude boasts that the average talk time on her new cell phone is 15.2 hours. Suppose that her…

A: Given: Mean = 15.2 Consider, X be the random variable that follows the exponential distribution with…

Q: Two pilots (X and Y) are assigned to a flight from Atlanta to Chicago. Both need to be in the…

A: Given the random variables X and Y be the delay for the flight from Cedar Rapids and delay for the…

Q: 6. In a college, 400 students are graduating this semester. According to the school policy, each…

A: 6) Let X denotes the number of people a student will bring to the graduation ceremony.  Based on the…

Q: The average lifespan for a certain type of vehicle is 8 years and follows an exponential…

A: Given that the average lifespan for a certain type of vehicle i 8 years and follows an exponential…

Q: How to solve the following? Suppose the time a child spends waiting at for the bus as a school bus…

A: Given that  X~Exp(λ) Average =1/λ λ=1/7

Q: The random variable X is exponentially distributed, where X represents the time it takes for a…

A: Given,A random variable X~exponential(θ=121)F(x)=P(X≤x)=1-e-xθ

Q: Patients arrive at the emergency room of a local hospital at an average rate of 6.6 per hour.…

A:

Q: 1. (a) When a hand of 5 cards is dealt from a standard deck of 52 cards, what is the probability…

A: Probability is the chance that an event happening. It is also known as likelihood of the event…

Q: 4. Let the pdf of a continuous random variable X be defined as (x+3)/6 if-3≤x<0 if 0≤x≤1 otherwise…

A: The cumulative distribution function or simply distribution function of a random variable X is…

Q: The cost of all maintenance for a car during its first year is approximately exponentially…

A: f(x) = λe-λx , x &gt;0 ====================== NOTE: As per the guidelines, I can solve only the…

Q: The lifetime (in years) of a specific helicopter part follows an exponential distribution whose…

A:

Q: Determine the following probabilities: (a) P(T > 30), (b) P(12 <T< 18), (c) P(T < 25).

A: T~E(20)