The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 38 and a standard deviation of 3. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 35 and 47?

Q: A particular fruit's weights are normally distri grams. The heaviest 14% of fruits weigh more than…

A: Given: Mean, μ=448 Standard deviation, σ=21 Using standard normal table: P (Z>z)=14%1-P…

Q: A) A bell-shaped distribution has a mean ?=1200 and standard deviation ?=340.  Find the proportion…

A: Theoretical distribution is a branch of a frequency distribution. The theoretical distribution…

Q: The number of ants in a group is normally distributed with a mean of 67.0 and a standard deviation…

A: Let X be the random variable for the number of ants in a group. Given that, X~N(μ=67.0, σ=83.64)…

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a…

A: Given Mu=63 Standard deviations=5

Q: A data set with an unknown distribution has mean ?=360 and standard deviation ?=20.  State Chebyshev…

A: Given , μ = 360 , σ = 20

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: A particular fruit's weights are normally distributed, with a mean of 497 grams and a standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: A particular fruit's weights are normally distributed, with a mean of 486 grams and a standard…

A:

Q: According to National Health Survey heights of men are normally distributed with mean of μ=69.0…

A: The standard deviation is obtained below Critical value: From the standard normal distribution…

Q: The lengths of pregnancies are normally distributed with a mean of 280 days and a standard deviation…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 516 grams and a standard…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 788 grams and a standard…

A: Let "X" be the weight of the heaviest fruit in grams. Find z-value (z): Since the total area…

Q: Steel rods are manufactured with a mean length of 25 centimeters (cm). Because of the variability in…

A: Given, Steel rod length are normally distributed with mean 25 cm and standard deviation 0.07.

Q: oby's Trucking Company determined that on an annual basis, the distance traveled per truck is…

A:

Q: Deforestation along the Sierra Madre mountains have been especially notorious. The average number of…

A: Given that.   X~N( μ , ?)   μ=4373    , ?=610   Z-score =( x - μ )/?

Q: A particular fruit's weights are normally distributed, with a mean of 305 grams and a standard…

A: Given: Formula: Let "X" be the weight of fruits in grams.

Q: Given the mean of a normally distributed data set is 25, with  standard deviation of 5, what percent…

A: We will standardize the normal variable and then use standard Normal table to find the required.

Q: What proportion of skiers will finish the race in exactly one minute?

A: The tume it takes for downhill skiers to finish a race follows a Normal distribution with a mean of…

Q: A particular fruit's weights are normally distributed, with a mean of 659 grams and a standard…

A: From the provided information, Mean (µ) = 659 grams Standard deviation (σ) = 7 grams Let X be a…

Q: The lengths of individual fish in a pond have a non-Normal distribution with a mean of 18.6 cm and a…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 230 grams and a standard…

A: The provided information is:

Q: A particular fruit's weights are normally distributed, with a mean of 453 grams and a standard…

A:

Q: According to the Environmental Protection Agency (EPA), the 2018 Toyota Camry L drives an average of…

A: The miles travelled on a full tank of gas has a mean of 420.5 miles and a standard deviation of 50…

Q: A World Health Organization study of health in various countries reported that in Canada, systolic…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 621 grams and a standard…

A: It is given that the fruits weights follow normal distribution with mean 621 and standard deviation…

Q: A particular fruit's weights are normally distributed, with a mean of 649 grams and a standard…

A: Let  be the fruit's weight.Mean: Standard deviation: i.e.

Q: The mean gas mileage for cars driven by the students at Chillville High School is 28.0 miles per…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 464 grams and a standard…

A: Let "x" be the weight of the fruit in grams. Sketch the normal curve and shade the area of 0.18…

Q: A particular fruit's weights are normally distributed, with a mean of 767 grams and a standard…

A: Given data,μ=767σ=39P(X>x)=0.11x=?

Q: Suppose you organized a​ 10-kilometer race in which the times were normally distributed with a mean…

A: Let X be any selected finishing time. Here, we have to find the percentage of runners took longer…

Q: A particular fruit’s weights are normally distributed, with a mean of 712 grams and a standard…

A: Given,mean(μ)=712  gramsstandard deviation(σ)=28  grams

Q: All the houses in Stanton county have a mean size of 1650 square feet with a standard deviation of…

A:

Q: According to the Nielsen Company the mean number of TV sets in a US household in 2013 was 2.24.…

A: Let X is the number of TV sets in US households.

Q: The MF exam has a population mean of 500 and a standard deviation of 200. What are the scores for…

A: Let X=MF exam scores We have given information, The population mean μ=500 And population standard…

Q: A particular fruit's weights are normally distributed, with a mean of 384 grams and a standard…

A: Let X be the fruit's weights follows normally distributed, with a mean of 384 grams and a standard…

Q: A particular fruit's weights are normally distributed, with a mean of 620 grams and a standard…

A: Probability distributions are of two types, discrete and continuous distributions. Normal…

Q: A particular fruit's weights are normally distributed, with a mean of 464 grams and a standard…

A: Given data, μ=464σ=21P(Z>x)=11% =0.11x=?

Q: For the normal distribution of burning times of electric light bulbs, with a mean equal to 1200…

A: given data μ = 1200σ = 120normal distribution

Q: According to survey data, the distribution of arm spans for females is approximately Normal with a…

A: Mean (µ) = 65.3Standard deviation (σ) = 3.4The distribution of arm spans for females is…

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.