27. The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 14 and 17 minutes? (Show all work)

Q: 19. Suppose mass-produced needles are packed in boxes of 1000. It is believed that 1 needle in 2000…

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Q: 1. A failure in oil pipe line is uniformly distributed between zero and 1000 Kilometers. What is the…

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Q: the cable company says they will be at your house to fix the cable between 9am to 3pm. it is equally…

A: given  Cable company says to fix cable from 9am to 3pm and x denotes the amount of time a person…

Q: A new automated production process has had an average of 1.5 breakdowns per day. Because of the…

A: Given : Let X be the number of breakdown per day. A new automated production process average 1.5…

Q: Suppose a certain retail store has customers whose ages are normally distributed such that µ=37.5…

A: Solution: Probability that a randomly chosen customer is between 46 and 54 years old is 0.1167

Q: n. it is known that of the inmates are under 25 years of age. It is also known that of the inr f age…

A: *Answer: Here the data of the prisoners is given. The data is represented as below,   Male Female…

Q: The incomes of all families in a particular suburb can be represented by a continuous random…

A: Given Information: The incomes of all families in a particular suburb can be represented by a…

Q: 2) For passengers flying on a given airline, the expectation of the weights of suitcases is 10 kg…

A: Solution: Given information: n= 100 sample size  μ=10 kg Population mean σ2=5 kg2 Population…

Q: 1. Suppose that the daily fuel consumption of a truck made in Canada is uniformly distributed…

A: Given information: X~U0, 60

Q: 70% of iPhone batteries are made from China and 30% from Korea. The failure rates within a year for…

A: Let C denotes batteries produced from china, K denotes batteries produced from Korea and F denotes…

Q: 3. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20…

A:

Q: The number of hits to a website follows a poisson process. Hits occur at the rate of 0.6 per minute…

A: GivenHits occur at a rate of 0.6per minute.The given time is between 7:36 PM to 7:45 PM, which is 9…

Q: Suppose that the commuting time on a particular train is uniformly distributed between 50 and 60…

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Q: If electricity power failures occur according to a Poisson distribution with an average of 2…

A:

Q: 6. An installation technician for a specialized communication system is dispatched to a city only…

A:

Q: The probability with corresponding number of defects per lot of an electrical part are given as…

A: It is given that the maximum recorded number of defective items per lot of said electrical part is…

Q: Suppose 0.2 of the graduates of a job training centre receive lower paying jobs than they had prior…

A: Here, n = 6 and p = 0.8 (= 1 – 0.2)

Q: 2) The manager of a restaurant believes that waiters and waitresses who introduce themselves by…

A: Given information: x¯1=18, σ1=3, n1=10x¯2=15, σ1=3, n2=10    Null hypothesis: H0 : μ1=μ2Alternative…

Q: 3. The ratio of adult males to adult females living in a certain town is 17:18, and of these adults,…

A: Solution

Q: Suppose that the waiting times to be attended in a bank have a uniform distribution with a minimum…

A:

Q: When only the​ value-added time is​ considered, the time it takes to build a laser printer is…

A: Let X be a random variable representing the time it takes to build a laser printer. Given, X~…

Q: A road transport company has one reservation clerk on duty at a time. He handles information of bus…

A: The question is about queuing model Given : Customer arrival rate ( λ ) = 8 per hour Average service…

Q: 2. The number of monthly breakdowns of a computer is a random variable with an average of 1.6…

A: 2). It is given that the number of monthly breakdowns of a computer is a random variable with an…

Q: 10. Assume that hitting oil at one drilling location is independent of another, and that, in a…

A: Given data are: Probability of success at an individual location is 0.3 Probability of a failure is…

Q: Suppose that 800 students were selected at random from a student body of 20,000 and given shots to…

A: we have given that n = 800 x = 600

Q: Suppose that the time students wait for a bus can be described by a uniform random variable X, where…

A: X~ U (15 ,55 ) Find ( a ) P ( 15<X<25 ) =? ( B ) p ( x>=25 ) =?

Q: Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2…

A: Given  Average No. of airplane Crashes of Commercial airlines is 2.2 i.e,λ=2.2Let 'x' be the no. of…

Q: 5 Estimates for the proportion of people who have COVID-19 in a given community vary over time and…

A: Givenp=0.04n=20Let "x" be the no.of people is infected…

Q: . Based on the data in the Statistical Abstract of the United States, the probability that a newborn…

A:

Q: Suppose that an average of 10 customers per hous arrive at a shop according to a poisson procee.…

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Q: 2. The probability that both will catch the bus within 15 minutes, given they are still waiting…

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Q: 3. Suppose that a box contained seven red balls and three blue balls. If four balls are selected at…

A: In question, Given that a box contains 7 red balls and 3 blue balls, 4 balls randomly selected…

Q: Suppose a certain retail store has customers whose ages are normally distributed such that μ=37.5…

A:

Q: (c) number of pips on the top face for the first roll is 2, what is the probability that the sum of…

A: c. From the given information, the die is rolled twice. The results are independent. Given that the…

Q: Suppose the time it takes my daugther, Lizzie, to eat an apple is uniformly distributed between 6…

A:

Q: Suppose that the time students wait for a bus can be described by a uniform random variable X, where…

A: The probability density function (PDF) of the uniformly distributed random variable with parameters…

Q: If x is a random variable that has a uniform distribution in the interval [1,7].[1,7]. What is the…

A: Solution-: Let, X- be the the random variable Given: a=1, b=7 We find, P[the random variable x…

Q: 1) Suppose that the number of days an American stays at home due to the coronavirus is N( 60,15).…

A: Given,mean(μ)=60standard deviation(σ)=15

Q: (a) If two dice are rolled, what is the probability that the sum of the upturned faces will equal 7?…

A: (a) the two die rolls are independent, it should come as no surprise that there are 6 × 6 = 36…

Q: 3. An oil change crew is trying to determine how long the average line for an oil change will be.…

A: Given Arrival rate =20 c/hr

Q: Which distribution can we use in this case?  b.    What is the probability that we observe at least…

A: Suppose that births in a hospital occur randomly at an average rate of 1.9 births per hour. Assume…

Q: 13. Suppose that a lot of 5000 electrical fuses contain 5% defectives. If a sample of five fuses is…

A: Given,n=5000p=0.05here A random variable X~Poisson(λ)because n is large and p value very smallso ,…

Q: (b) Suppose the number of customers at a Sushi outlet is Poisson distributed where an average of…

A: Given that  The average number of customers are served per 30 minutes period=19

Q: Suppose that only (10+2) % of all washing machines of a certain type need replacement during the…

A: Let X be the washing machines having defect.  Given that, n=5600, p=0.12 X ~ B(n=5600, p=0.12) a)…

Q: Suppose 3% of items manufactured at a facility are defective. A random sample of 600 items are…

A:

Q: 3. The assembly line that produces an electronic component of a missile system has historically…

A: Given data The assembly line that produces an electronic component of a missile system has…

Q: Suppose 15% of adults in a certain country work from home. 1) If we want to find the probability…

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Q: An installation technician for a specialized communication system is dispatched to a city only when…

A:

Q: Suppose a certain retail store has customers whose ages are normally distributed such that µ=37.5…

A: We have to find the probability that a randomly chosen customer is more than 48 years old..

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!