The lifetime of a light bulb in a certain application is normally distributed with mean = 1400 hours and standard deviation = 200 hours. a) what is the probability that a lightbulb will last more than 1800 hours b) find the 10th percentile of the lifetimes c) a particular lightbulb lasts 1645 hours. What percentile is its lifetime on?

Q: 24 Light bulbs, having a mean life of 2400 hours and standard deviation of 62 hours, are used for a…

A: Given data, Mean=2400 sd=62 n=4000

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: Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per…

A: From the provided information, Mean (µ) = 76.0 Standard deviation (σ) = 12.5 X~N (76.0, 12.5) Here X…

Q: Assume that the systolic blood pressure of a 30 year old male is normally distributed with an…

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is…

Q: Assume that females have pulse rates that are normally distributed with a mean μ=75.0 and a standard…

A:

Q: A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food…

A: We have to find given probability.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 97.8 and a standard…

A: Given a mean of 97.8 and a standard deviation of 23

Q: A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food…

A:

Q: hat is the probability that daily production in between  51.7 and 59.4 liters?

A: Let , X→N(μ=39 , σ=7.1) Our aim is to find the probability that daily production in between  51.7…

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: A study found that the mean amount of time cars spent in​ drive-throughs of a certain​ fast-food…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A:

Q: The diameter of the dot produced by a printer is normally distributed with a me 0.002 inch and a…

A: Given data,Mean μ=0.002sd     σ=0.0004

Q: The finish times for marathon runners during a race are normally distributed with a mean of 195…

A: Given,mean(μ)=195standard deviation (σ)=25

Q: The daily income of bank auditor in a certain commercial bank is normally distributed with a mean of…

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: Assume that the weights of individuals are independent and normally distributed with a mean of 160…

A:

Q: Assume that females have pulse rates that are normally distributed with a mean of 75.0 beats per…

A: Central Limit Theorem for mean:If a random sample of size n is taken from any population having mean…

Q: A factory manufactures car tyres that have an average lifetime of 45256 kilometers with a standard…

A: Solution: Let X be the lifetime of the tyres. From the given information, X follows normal…

Q: Assume that females have pulse rates that are normally distributed with a mean of 78.0 beats per…

A: Given that, Mean = 78.0 Standard deviation = 12.5 Sample size = 25

Q: Assume that females have pulse rates that are normally distributed with a mean of 75.0 beats per…

A:

Q: The average amount of time that teenagers spend playing video games per week is 8 hours with a…

A: Given,   Mean = 8 Standard deviation = 1.2 Sample size = 40

Q: The average life of a certain brand of a car battery is 4 years with a standard deviation of 15…

A:

Q: The length of hair of a male private in the army is normally distributed with a mean of 1 cm and a…

A: Solution: Let X be the length of hair of a male private in the army. From the given information, X…

Q: It was found that the mean length of 100 parts produced by a lathe was 20.05 mm with a standard…

A: Given: . The z-score is calculated as

Q: assume that woman have diastolic blood pressure measures that are normally distributed with a mean…

A: From the given information, let us define the random variable X as diastolic blood pressure levels…

Q: a. What is the probability of completing the exam in one hour or less (to 4 decimals)? What is the…

A: a. Let X be the time needed to complete a final examination in a particular college course which…

Q: The weight of food packed in cans is a random variable with a mean weight of seventeen ounces and a…

A: Solution: Let X be the weight of food packed in cans. From the given information, µ=17 ounces and…

Q: Find the indicated probability. The diameters of pencils produced by a certain machine are normally…

A: We have given that.   X~N( μ , ?^2 )   μ = 0.30, ? = 0.01   Z-score =( x - μ )/?

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

A:

Q: The time needed to complete a final examination in a particular college course is normally…

A: μ=80 minutesσ=10 minutes

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per…

A:

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per…

A:

Q: The amount of sleep per night for students in Nursing is normally distributed with mean 7.5 hours…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98 and standard…

A:

Q: The average gas mileage of a certain model car is 27 miles per gallon.   If the gas mileages are…

A: The probability that a car has a gas mileage of between 26.8 and 27.3 miles per gallon is obtained…

Q: The mean time required to assemble a bicycle is 20.5 minutes and the standard deviation is 2.3…

A: The standard normal variate is calculated using the sample mean, population mean and population…

Q: The time needed to complete a final examination in a particular college course is normally…

A: Given information- Population mean, µ = 83 minutes Population standard deviation, σ = 13 minutes…

Q: Assume that the distribution of time spent on leisure activities by adults living in household with…

A: Let X denote the distribution of time spent on leisure activities by adults living in household with…

Q: The repair time for air conditioning units is believed to have a normal distribution with a mean of…

A: Continuous probability distribution  I used z-table to calculate the probability and quantile for…

Q: The time needed to complete a final examination in a particular college course is normally…

A:

Q: Suppose that the mean cost of domestic airfares in Canada is %24300 per ticket. Also assume that…

A: Given data,μ=300σ=100

Q: The length of life of an instrument produced by a machine is normally distributed with a mean of 12…

A:

Q: Assume the girths (circumferences) of five year old oak trees in the Jefferson National Forest are…

A: Let a random sample of 5year old oak tree is selected. Let x be the no. of oak trees Given…

Q: The average length of hockey sticks produced at an assembly line is 186 cm with a standard deviation…

A: Given that, The average length of hockey sticks produced at an assembly line is 186 cm with a…

Q: Assume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a…

A: Given : Mean = 159, Standard Deviation = 16, Sample Size = 30

Q: A large freight elevator can transport a maximum of 9800 pounds. Suppose a load of cargo containing…

A: GivenMean(μ)=205 poundsstandard deviation(σ)=15sample size(n)=49

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: Given,   Mean = 105 Standard deviation = 15   The objective is to find the probability that a…

Q: The lengths of human pregnancies are normally distributed with a mean of 268 days and astandard…

A: Consider,X be a random variable that represents the lengths of human pregnancy which is normally…

Q: The weight of items produced by a machine is normally distributed with a mean of 8 ounces and…

A: It is given that a machine is normally distributed with the mean weight of the items is 8 ounces and…

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.