The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 61 and a standard deviation of 8. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 37 and 61?

Q: Consider two continuous random variables X and Y with joint density function 0,otheruise P(X>0.8,…

A: We know, fx,y=x+y,0≤x≤1, 0≤y≤10Otherwise Therefore, PX>x, Y>y=∫x1∫y1fx,y dy dx

Q: Assume that the speed of automobiles on an expressway during rush hour is normally distributed with…

A: The required Percentage is, 3.6%  the detailed solution is as follows below:

Q: The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean…

A: Given that :  Mean = 14 inches S. D = 3 inches Here we use standard normal distribution concept…

Q: The speeds of all cars on the tollway was found to be normally distributed with a mean of 63 miles…

A: It is given that that µ=63 mile per hour. Obtain the standard deviation of the speeds of all cars:

Q: The life of a battery is normally distributed with mean 70 hours with a standard deviation of 10…

A: Given, μ = 70 σ = 10 Z = X-μσ

Q: If on an average 8 ships out of 10 arrive safely at a port, find the mean and standard deviation of…

A:

Q: The gestation period for human births can be taken as normally distributed with a mean of 256 days…

A: Given: The gestation period for human births can be taken as normally distributed with a mean of 256…

Q: A set of wrist watch prices are normally distributed with a mean of 76dollars and a standard…

A: From the provided information, Mean (µ) = 76 Standard deviation (σ) = 10 X~N (76, 10) Here X be a…

Q: manufacturer is producing metal rods whose lengths are normally distributed with a mean of 65.0 cm…

A: Population Mean,μ = 65 Population Standard Deviation,σ = 0.3

Q: A businessman calculated the average price of variety A rice per kilo at ₱32.00 with a standard…

A: First calculate sample mean and sample standard deviation for rice B varieties using Excel

Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

A:

Q: A study conducted by the Center for Population Economics at the University of Chicago studied the…

A:

Q: amount of honey produced by local beekeepers is normally distributed with a mean of 140 pounds and a…

A: given data, normal distribution mean=140standard deviation=31smallest amount in the top 14% produced…

Q: Deer mice are small rodents native to North America. Their adult body length are known to vary…

A:

Q: Surveyors measured the number of cars that go through the intersection of Howard Street and Stadium…

A: Given that  Mean=Xbar=900.3 Standard deviation=sigma=17.35

Q: A researcher measured the walking speed of travelers in the crazy town municipal airport and banana…

A: The null and alternative hypothesis is,

Q: There is an average of 4 accidents in a week on a major highway in the city. What is the standard…

A:

Q: The fuel efficiency of cars currently registered in the Commonwealth of Virginia is normally…

A: X follows a Normal distribution with mean = 24 and S.D = 6 Then z=(x-mean)/SD = (x-24)/6  follows…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: μ = 267σ = 13 C = 95% α = 1 - 0.95    = 0.05 α2 = 0.025  zα2 = ±1.96 The middle 95% of most…

Q: The time it needs a communications worker to arrange a domestic phone call is normally distributed…

A: It is given that the mean is 50 seconds and standard deviation is 8 seconds.

Q: ssume that the speed of automobiles on an expressway during rush hour is normally distributed with a…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

Q: Find the standard deviation using 2 methods. And identify it is a grouped data or ungrouped data

A: Solution To calculate the standard deviation firstly we will use mid point.

Q: A highway study of 8000 vehicles that passed by a checkpoint found that their speeds were normally…

A:

Q: A manufacturer is producing metal rods, whose lengths are normally distributed with a mean of 65.0…

A: #.Given : length of rod follow normal distribution with mean=65 cm and standard deviations=0.3 cm…

Q: Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean…

A: The detailed solution is as follows below:

Q: According to a recent report the battery life for a new line of laptop computers has a mean of 9…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: A researcher collected data from Boston police officers and found that on average they spent 14.3…

A:

Q: A desktop PC uses 120 watts of electricity per hour based on 4 hours of use per day. Assume the…

A: Given that mu = 120 , s.d = 6,n=500 p(x<106 ) =?  approximately how many will use less than 106…

Q: The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean…

A: Mean==14Standard deviation==3

Q: About 3 blue whales per month are killed by ship strikes in the Northern Pacific ocean.  What is the…

A:

Q: Assume that the heights of men are normally distributed with a mean of 68.1 inches and a standard…

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

Q: The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is…

A: Given,mean(μ)=400standard deviation(σ)=50

Q: Suppose the mean number of candies in a standard vending machine bag is 47.6 with a standard…

A: Answer: From the given data, Let X: Number of candies in a standard vending machine bag X follows…

Q: The time to make a batch of plastic bottles is normally distributed with a mean of 45 seconds. New…

A:

Q: Assume that the speed of automobiles on an expressway during rush hour is normally distributed with…

A: The question is about normal distribution Given : Popl. mean speed of automobile on an expressway…