The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 57 and a standard deviation of 6. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 57 and 75?

Q: for this set of data, the standard deviation is equal to: 9,8,10,5,5,2,3,6,3

A: Mean:The formula for finding mean is shown below:

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

A:

Q: When two births are randomly selected, the sample space for genders is BB, BG, GB, and GG. Assume…

A: It is given that the sample space is {bb, bg, gb, gg}.

Q: How tall is a woman in the 3rd percentile?

A: Let X be the height of adult women in the US. Given that, X ~  N(mean=64.5, sd=3.1) To find the…

Q: Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of…

A:

Q: The ages of the members of a popular ski club is normally distributed with a mean of 46 years and a…

A: Given that the ages of the members of a popular ski club is normally distributed with a mean of 46…

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: Suppose the life span of a brand of lightbulbs is normally distributed with a mean of 2000 hours and…

A: It is given that  Mean, μ = 2000 Standard deviation, σ = 320 Z-Score, Z = ( X - μ )/σ

Q: The height of trees in a nursery is normally distributed with a mean of 56.4 inches and a standard…

A: The height of trees in a nursery is normally distributed with a mean of 56.4 inches and a standard…

Q: Suppose that resting pulse rates of adult males are normally distributed with a mean of 72 beats per…

A: The following information has been provided: Let X be a random variable represents the resting pulse…

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

A: Introduction: The fashionable regular distribution, additionally called the z-distribution, is a…

Q: If the main level of snowfall for Boston Massachusetts is 44 inches per year and the standard…

A:

Q: Assume the cholesterol levels of adult American women can be described by a Normal model with a mean…

A: According to the given information, we have Mean = 188 mg/dL Standard deviation = 24 mg/dL

Q: The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard…

A: The formula for mean of the Z-score is, Z=x¯-μσn Here n is the sample size, μ is the population mean…

Q: The time taken to boil a kettle is normally  distributed with a mean of 94 seconds and  a standard…

A: The provided information is  µ=94 σ=6 P(-a<X<a)=0.40…

Q: Heights for 16-year-old boys are normally distributed with a mean of 68.3 in. and a standard…

A: Given information: μ=68.3, σ=2.9 The P-value for the 96th percentile = 0.96 Determine the z-score…

Q: Assume that women have heights that are normally distributed with a mean of 63.6 inches and a…

A:

Q: The cruising altitudes for the fleet of one commercial airliner are normally distributed with a mean…

A: It is given that the mean is 34,950 and the standard deviation is 1,800.

Q: The serum cholesterol level in men aged 18 to 74 are normally distributed with a mean of 178.1 and a…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days…

A:

Q: Students at a number of universities were asked if they agreed that their education was worth the…

A:

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

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

Q: The stature of men is normally distributed, with a mean of 69.0 inches and a standard deviation of…

A: From the given information, the mean of women is 63.6 inches and standard deviation is 2.5 inches.…

Q: percent of men meeting these height requirements.

A: Assume that the heights of American men are normally distributed with a mean of 69.0 inches and a…

Q: The mean height of males 20 years old or older is 69.1 inches with a standard deviation of 2.8…

A: given data x = height of 20 years old or older μ = 69.1  inchesσ = 2.8 incheskevin's height,x = 83…

Q: et's assume that the height of adult women in the United States follow a normal distribution with…

A: given data, normal distributionμ=64.5σ=3.197.5th percentile for given data=?

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 270 days…

A: Let "X" be the lengths of pregnancies in a small rural village in days.

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: Suppose that the amount of caffeine (in milligrams) in an 16 fluid ounce energy drink can be modeled…

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

Q: A particular fruit's weights are normally distributed, with a mean of 613 grams and a standard…

A:

Q: standardized test has a pop. mean of 152 and a standard deviation of 16. What would be the median…

A: Given that Mean=M=152, Standard Deviation=Sd=16 X~N(M=152,Sd=16)

Q: Suppose that annual precipitation is normally distributed, with mean 50 inches, and standard…

A: Obtain the 65th percentile of the precipitation distribution. The 65thpercentile of the…