A company installs 5000 light bulbs,each with an average of 500 hours, standard deviation of 100 hours and distribution approximated by a normal curve. Find the percentage of bulbs that can be expected to last between 500 to 675 hours.

Q: The average American family of four spends $5,000 per year on food prepared at home. Assuming a…

A:

Q: A 4 year college will accept any student ranked in the top 60% of a national exam. If the test…

A: From the given information,Mean (µ) =600Standard deviation (σ) = 100Let the test score be a x which…

Q: The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the…

A: According to the provided information, wristwatch X~N(25, 5)

Q: A mandatory competency test for high school sophomores has a normal distribution with a mean of 400…

A: Given data Mean = 400 Standard deviation = 100 To find the top 3%, we need to find the z-value…

Q: A soda machine dispenses soda into 11-ounce cups. Tests show that the actual amount of soda…

A: Concept: Here we shall use the formula, z=x-μσ where x is the raw score, μ is the mean and σ is…

Q: The cost of unleaded gasoline in the Bay Area once followed (approximately) a normal distribution…

A:

Q: If a brisk walk at 4 mph burns an average of 300 cal per hour, find the probabilit that a person…

A:

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A:

Q: The number of Facebook friends students at a university have are approximately Normally distributed…

A: GivenMean(μ)=1200standard deviation(σ)=200

Q: Suppose that IQ’s of 1,200 applicants to a university are approximately normally distributed with a…

A:

Q: The average time taken for your Internet service provider to remotely resolve a trouble ticket has a…

A: It is provided that,Mean (µ) = 4.343Standard deviation (σ) = 3.131.

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 69…

A: By empirical rule, Approximately 68% of the data values lie within 1 standard deviation on each…

Q: Of university students to reserve their sports daily average time is 30 minutes in Turkey and is…

A: Assume X to represent the number of minutes spent by the considered student in sports. It is given…

Q: The lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard…

A: The z-score denotes how many standard deviations an individual raw score is away from the mean The…

Q: A pediatrician claimed that the average time for a drug to take effect is. 15 minutes with a…

A:

Q: The average amount spent per customer at a restaurant on lunch is $15 with a standard deviation of…

A: Given information: Denote the random variable as X = Amount spent per customer. The mean and…

Q: When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 65…

A: Given that  Mean=65 , Standard deviation=1.5 X~Normal(Mean=65,Standard deviation=1.5) Find the the…

Q: The weight of oranges growing in an orchard is normally distributed with a mean weight of 7 oz. and…

A:

Q: According to a recent report people smile on a average of 62 per day .  Assuming that the…

A: Obtain the standard z-score for  equals 50. The standard z-score for equals 50 is obtained below:

Q: The cost of repairs for a fleet of motorcycles follows a normal distribution, with a monthly average…

A: Given Information: Mean value (u) = $ 1280  Standard deviation (s) = $ 420

Q: The average weekly earnings of bus drivers in a city are $950 with a standard deviation of $45.…

A: The formula for calculating the standard error of the sample is,

Q: The average grade of second year Business Management students in a certain college is normally…

A: Given: X¯=84, σ=5, α=0.10 Formula for interval is, Interval=X¯± Zασ From the statistical table…

Q: According to a recent survey, the salaries of entry-level positions at a large company have a mean…

A: Given: μ=41750σ=8000

Q: The diameter of a pipe is normally distributed with a mean of 0.4 inch and a standard deviation of…

A: Given data,μ=0.4σ=0.02P(X>0.418)=?

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Let X be the number of pizzas consumed per month follows normal distribution with mean 10 and…

Q: One line of radial tires produced by a large company has a wear-out life that can be modeled using a…

A: It is given that mean and standard deviation are 25,000 and 2,000, respectively.

Q: The lifetime of lightbulbs that are advertised to last for 4300 hours are normally distributed with…

A: Given Information: The lifetime of lightbulbs that are advertised to last for 4300 hours are…

Q: The time required for an automotive center to complete an oil change service on an automobile…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: The amount of time to complete a physical activity in a PE class is normally distributed with a mean…

A: GivenMean(μ)=33.2standard deviation(σ)=5.5

Q: The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400…

A: The Normal distribution which is also known as the Gaussian distribution is a continuous probability…

Q: The number of calories consumed per day for a child is normally distributed with a mean of 1544 and…

A: The number of calories consumed per day for a child is normally distributed with a mean of 1544 and…

Q: In a normal distribution of wait times for roller coaster ride, the average wait time was 45 mins…

A: Given Information: Mean wait time (u) = 45 minutes Standard Deviation (s) = 12.2 minutes

Q: When Ryan runs the 400 meter dash, his finishing times are normally distributed with a mean of 75…

A: Let X the random variable that represents the finishing times.

Q: The admission committee of AUCA enrolls 60% of those who took the exam. If the scores follow a…

A:

Q: A taxicab company in New York City analyzed the daily number of miles driven by each of its drivers.…

A: It is given that the number of miles driven is normally distributed with mean 200 miles and standard…

Q: According to a recent survey, the salaries of entry-level positions at a large company have a mean…

A:

Q: When Gabriel commutes to work, the amount of time it takes him to arrive is normally distributed…

A: We have to find given probability..

Q: Consider a University with 10000 students whose weights are normally distributed with mean of 72Kgs…

A: We want to find the number of students have weights above 80kgs , and also find the percentage of…

Q: A representative sample of trees in a forest shows the trees to have a mean circumference of 19.7…

A:

Q: The products that a company is exporting in the United States have an average of 3 weeks lead time…

A:

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A: let X be the distance of fly balls hit to the outfield X~N(mu=260,sigma^2=50^2) n=49 we want to find…

Q: A manufacturer of bolts has a​ quality-control policy that requires it to destroy any bolts that are…

A: Given information- Mean, x-bar = 9 cm Standard deviation, σ = 0.05 cm We have given that a…

Q: A certain grade egg must weigh at least 2.0 Oz. If the weights of eggs are normally distributed with…

A: Given data The weights of eggs are normally distributed with mean of 1.5 0z and standard deviation…

Q: The admission committee of AUCA enrolls 39% of those who took the exam. If the scores follow a…

A:

Q: In order to qualify for police academy training, recruits are given a test of stress tolerance. The…

A: From a given information, Mean = 250 Standard deviation = 18

Q: In a city, it is estimated that the maximum temperature in June is normally distributed with a mean…

A: Given : Maximum temp. in June is normally distributed with  Mean (μ) = 28o S.D (σ) = 5.4o Let X be a…

Q: A carbon monoxide detector contains a battery that should have mean lifetime of 365 days, and…

A: given,mean(μ)=365standard deviation(σ)=12

Q: The time until recharge for a battery in a laptop computer under common conditions is normally…

A: Note: we find the probability value by using normal distribution table.

Q: The admission committee of AUCA passes 33% of those who took the exam. If the scores follow a normal…

A:

Q: A certain type of light bulb is advertised to have an average lifetime of 1,000 hours. Assume the…

A: Mean =1000 Standard deviation = 250

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.