A certain kind of appliance requires repairs on the average once every 2 years. Assuming that the times between repairs are exponentially distributed, what is the probability that such an appliance will work at least 3 years without requiring repairs?

Q: 1).Find the probability that a phone call lasts less than nine minutes. 2).Find the probability…

A: Let X denote the length of long distance phone calls. Given that X follows Exponential with…

Q: In a vibration test, the life of a mechanical tool is exponentially distributed, with an average of…

A: Given : μ=400 hours The parameter λ is reciprocal of the mean : λ=1μ=1400=0.0025 The probability…

Q: The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean…

A:

Q: The manager of a gas station has observed that the times required by drivers to fill their car's…

A:

Q: Suppose that the time it takes an equipment to break down after being put to use is exponentially…

A:

Q: 5. The life, in years, of a certain type of electrical switch has an exponential distribution with…

A:

Q: The life of a power transmission tower is exponentiallydistributed, with mean life 25 years. If…

A: From the given information, it can be observed that the life of a power transmission tower is…

Q: Suppose that an average of 30 customers per hour arrive at Shwapno and the time between arrivals is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: The average time between phone calls arriving at a call center is 30 seconds. Assuming that the time…

A: Solution: Let X be the time between calls. From the given information, X follows exponential…

Q: The average lifetime of a certain new cell phone is 5 years. The manufacturer will replace any cell…

A:

Q: Lucky Lumen light bulbs have an expected life that is exponentially distributed with a mean of…

A: Given: T: Life of light bulbs are exponentially distributed.

Q: The time until the graduates of a department find their first jobs after graduation follows an…

A:

Q: onstruction workers use sturdy overalls when working. An overall on average lasts for 9 months…

A: Let us define the random variable X as the time lasts before it has to be replaced follows…

Q: Construction workers use sturdy overalls when working. An overall on average lasts for 9 months…

A: Given: average= 9 months therefore λ = 1/9 = 0.1111 to find: P(sturdy overalls life > 1.5years)…

Q: Planetary Communications, Inc., intends to launch a satellite that will enhance reception of…

A:

Q: A toy factory produces battery operated toy robots for toddlers. Previous research shows that the…

A: To find the probability that exactly 5 of these robots will last at least 8 months.

Q: Suppose the time to do a health check (X) is exponentially distributed with an average of 20…

A:

Q: Suppose that a certain examination is to be taken by five students independently of one another, and…

A:

Q: The time until the graduates of a department find their first jobs after graduation follows an…

A:

Q: If the time T to failure of a component is exponentially distributed with para- meter 1 and if n…

A:

Q: 1. The lifetime (in years) of a specific helicopter part follows an exponential distribution whose…

A: X~ Exponential(λ) Given  1λ= 3.2

Q: It is known that the shelf life of refills for a certain brand of purifier of water is exponentially…

A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Q: 2. At the bank teller there are two agents. At agent 1, the time to complete service in minutes…

A: Given that the time to complete service in minutes for two bank teller agents distributed as Agent…

Q: (a) Find the probability that a randomly selected toothbrush (of this type) has a lifespan of more…

A: Solution The given distribution is a continuous probability distribution function.

Q: Suppose the time to do a health check (X) is exponentially distributed with an average of 20…

A: Distribution is exponential  Average = 20 m= 1/20 m=0.05 We have to calculate probability according…

Q: Suppose that during rainy season on a tropical island the length of the shower has an exponential…

A: Solution: Let X be the length of the shower. From the given information, X follows exponential…

Q: There is a 40% chance that a customer will choose Diner A for takeouts and a probability of 60% that…

A: Baye's rule: Let A, B be two events and P(A|B) represent the conditional probability of A given B A…

Q: At an Ingo Armenia call center, calls come in at an average rate of one call every 4 minutes. Assume…

A: Given,A random variable X~Exponetial(λ=14)and the CDF of X isF(X)=P(X≤x)=1-e-xλ ; x≥0

Q: The Rivera Family has put up a small business, which sells cakes and pastries. It was observed that…

A:

Q: Suppose that the longevity Xof a light bulb is exponential with a mean lifetime of eight years. Ifa…

A: Introduction to Exponential distribution: A random variable X is said to have a exponential…

Q: Suppose that an average of 30 customers per hour arrive at Shwapno and the time between arrivals is…

A:

Q: ) A lamp has two bulbs, each of a type with average lifetime 1,300 hours. Assuming that we can model…

A: Given: μ = 1300

Q: he time (in hours) until the next emergency arrival at a hospital follows an exponential…

A: Given :  Arrival rate λ=2.1  Since interarrival time t is given in hours

Q: The lifetime, in years, of a certain type of electrical switch has an exponential distribution with…

A:

Q: The time until the graduates of a department find their first jobs after graduation follows an…

A:

Q: 6. A vaccine takes on average 4 years to develop, the time to development is distributed…

A: Given, A vaccine takes on average 4 years to  develop and the timme to development is distributed…

Q: In a certain year, the percent of persons (ages five and older) in each state who speak a language…

A: The percent of persons in each state who speak a language at home other than English was…

Q: A toy factory produces battery operated toy robots for toddlers. Previous research shows that the…

A: It is given that the lifetime of robots (say X) is exponentially distributed with a mean of 6…

Q: 14. Lucky Lumen light bulbs have an expected life that is exponentially distributed with a mean of…

A: Given that mu = 20000 Using exponential distribution Find the probabilities

Q: A certain type of storage battery lasts, on average, µ=3.0 years with o= 0.5. Assuming that the…

A: Given: μ = 3 σ=0.5 The corresponding z-value needed to be computed is:

Q: A microprocessor that controls the tuner in color TVs fails completely at random (that is, according…

A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Q: Suppose 5 students are going to take a test independently from each other and that the number of…

A:

Q: The life, in years, of a certain type of electrical switch has an exponential distribution with an…

A:

Q: The life expectancy in years of a component in a microcomputer is exponentially distributed, and 1/3…

A: Given: The life expectancy in years of a component in a microcomputer is exponentially distributed,…

Q: Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years. a.…

A: Note: According to Bartleby, expert solve only one question and maximum 3 subpart of the first…

Q: The time T required to repair a machine is an exponentially distributed randon variable with mean 7…

A: From the given information, T has Exponential distribution with mean 7 hours. Therefore,…

Q: Suppose that the time taken for symptoms to show for someone who is exposed with COVID-19 is…

A:

Q: Find the probability that the percent is less than 11

A: Exponential distribution is a positively skewed distribution. It is used in reliability theory.

Q: Lucky Lumen light bulbs have an expected life that is exponentially distributed with a mean of20,000…

A: Solution: a. Let X be the life of Lucky Lumen light bulb. From the given information, X follows…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.