A factory manufactures car tyres that have an average lifetime of 45256 kilometers with a standard deviation of 2756 kilometers and the distribution of lifetime of the tyres is normal. Find the probability that tyre’s lifetime is between 42056 km and  48556 km. What is the lifetime in km, that 56 % of tyres exceed?

Q: A motorcar industry research study found that the tyre lifespan for economic sedan cars is normally…

A: Solution: Let X be the tyre lifespan for economic sedan car. From the given information, X follows…

Q: The speed of cars on a stretch of road is normally distributed with an average 48 miles per hour…

A: GivenMean(μ)=48standard deviation(σ)=5.9

Q: manufacturer of light bulbs produces bulbs that last a mean of 950 hours with a standard  deviation…

A: To find the probability that the mean lifetime of a random sample of 10 of these bulbs is less than…

Q: The average weight of a certain machined part is 475 grams, with a standard deviation of 5 grams.…

A:

Q: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70…

A: It is given that the amount of snowfall falling in a certain mountain range is normally distributed…

Q: The percent of fat calories that a person in a city consumes daily is normally distributed with a…

A:

Q: The amounts of electricity bills for all households in a city have a skewed probability distribution…

A:

Q: According to a research, the average young adult spends 5.6 hours in front of a computer, with a…

A: Let X be the random variable from normal distribution with average or mean (μ) = 5.6 and standard…

Q: The amount of snowfall falling in a cetain mountain range is normally distributed with a 70 inches,…

A: Given Information: Mean μ = 70inches Standard deviation σ = 10 inches Sample size n = 25 To find the…

Q: The mean height of male college students in a large city is 68 inches and the standard deviation is…

A: Solution

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

A: Let us consider X is a random variable that denotes the length of life of the light bulb which is…

Q: The weight of a 10 year old girl is normally distributed with a mean of 80 pounds with a standard…

A: It is given that the mean is 80 and the standard deviation is 6.

Q: A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way…

A: The normal distribution is symmetric in nature having parameters μ and σ.The mean, mode, and median…

Q: A recent study of teacher salaries in rural areas showed that the average salary was $30,000/year…

A:

Q: A 120-watt fluorescent light has an average brightness of 1986 lumens, with a standard deviation of…

A:

Q: The mean time taken to learn the basics of a word processor by a group of students is 200 minutes…

A: Let, X= time taken to learn the basics of a word processor  Given that X follows a normal…

Q: ounts of time per workout an athlete uses a stairclimber are normally​ distributed, with a mean of…

A: (a) Given: μ=25, σ=7 The corresponding z-value needed to be computed:  The probability that a…

Q: The lifetime of lightbulbs that are advertised to last for 3500 hours are normally distributed with…

A:

Q: the amount of snowfall falling in a certain mountain range is normally distributed with a mean of 88…

A: It is given that the normal distribution has a mean, μ=88 and the standard deviation, σ=16. The…

Q: According to the records of an electric company serving the Boston area, the mean electricity…

A: This is an example of the normal probability distribution which is symmetric in nature. If the…

Q: A motor spares company has found that the diameter of a certain car component is, on average, 10mm…

A: A motor spares company has found that the diameter of a certain car component is, on average, 10mm…

Q: A new brand of cell phone battery has a mean battery life of 54 hours with a standard deviation of…

A:

Q: According to the records of an electric company serving the Boston area, the mean electricity…

A: The monthly electricity consumption during winter follows normal distribution with mean 1650 and…

Q: What is the probability that a randomly chosen light bulb will have a lifetime of more than of 1,000…

A: Let X denote the lifetimes of the light bulb produce by Flip Company. Given that X follows N(mean =…

Q: The medical records of infants delivered at the Kaiser Memorial hospital show that the…

A:

Q: The time student spends on his/her homework is normally distributed with the mean of 122 minutes and…

A: From the given information, the mean value is 122 minutes and standard of 53. That is,  μ=122σ=53

Q: The average age of a car registered in the Land Transportation Office (LTO) is 10 years, or 120…

A: Given information: n= 35 Sample size  μ= 120 months Population mean  σ= 20 months Population…

Q: The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and…

A: We have given that   1) sample size n= 30 , mu= 60 , sigma = 8 Z-score =(x-mu)/sigma  X~N(mu,…

Q: A report stated that the average number of times a cat returns to its food bowl during the day is…

A: Given information- Population mean, μ = 36 Population standard deviation, σ = 5 Since variables are…

Q: According to the records of an electric company serving the Boston area, the mean electricity…

A: The mean and standard deviation are 1650 and 320, respectively.

Q: The amount of snowfall falling in a certain mountain range is normally distributed with the mean of…

A:

Q: The distribution of weights of 9 ounce bags of a particular brand of potato chips is approximately…

A: Given Mean=9.12 Standard deviations=0.15

Q: A lightbulb is advertised as lasting 1000 hours with a standard deviation of 150 hours. Assume the…

A: It is given that the mean and standard deviation are 1,000 and 150, respectively.

Q: The tread life of a particular brand of tire is a random variable best described by a normal…

A:

Q: An average tire used by a transportation company lasts 20,000 km with a standard deviation of 100…

A:

Q: A small retail store has customers whose ages are normally distributed, with a mean of 37.5 and a…

A:

Q: When the individual weight of a parcel (500 pieces) of oranges was measured, it was observed that…

A: Given, Mean, mu= 200 Standard deviation, sigma= 25 X~N(200,25)  And n= 10/2 = 5  P(X<=150)

Q: The weight of people in a small town in Missouri is known to be normally distributed with a mean of…

A: Mean = 180 Standard deviation = 28 Sample size, n = 40

Q: The average annual precipitation for a large Midwest city is 30.85 inches with a standard deviation…

A: Given: μ = 30.85 σ = 3.6 n = 32

Q: The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and…

A: From the given information,Sample size 30, mean 60 months and standard deviation 8 months

Q: The amounts of time per workout an athlete uses a stairclimber are normally​ distributed, with a…

A:

Q: A market researcher analyzes how many cases of bottled water a customer buys at a grocery store. The…

A: Given that the mean is 3.0 and standard deviation is 0.7. That is,  μ=3.0σ=0.7 sample size=400…

Q: A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If…

A: The average amount of soft drink discharged(μ)=200 The standard deviation of the amount of soft…

Q: A recent survey of the NHL found that the number of goals scored in Hockey *BY A PLAYER* in an 82…

A: From the provided information, Mean (µ) = 42 Standard deviation (σ) = 8 Let X be a random variable…

Q: A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. the…

A: From the provided information, Mean (µ) = 15.8 Standard deviation (σ) = 0.6 X~N (15.8, 0.6) Here X…

Q: The vacation leave time of employees in a firm in a month is normally with a mean of 100 hours and a…

A: Given data: Mean = 100 hours Standard deviation  = 20 hours To find: P(X > 180 ) =  ?

Q: Suppose the average speeds of passenger trains traveling from Colombo to Jaffna  are normally…

A: Given,       Mean μ=88       Standard deviationσ=6.4   1) Required probability is Px<70…

Q: The lengths of a particular animal's pregnancies are approximately normally distributed with a mean…

A: Given  Mean = 275 days  Standard deviation = 20 days

Q: The amount of time that bankers devote to their job per week is normally distributed, with a mean of…

A: i. The probability that a banker works for more than 60 hours per week is, Thus, the probability…

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.