Prison Sentences The average prison sentence for a person convicted of second-degree murder is 15 years. If the sentences are normally distributed with a standard deviation of 2.4 years, find the following probabilities. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places. Part 1 of 2 (a) A prison sentence is greater than 18 years. P(X>18)= 0.1056

Q: )Listen The average life of a brand of automobile tires is 30,000 miles, with a standard deviation…

A: Here is given that, mean is 30000 and standard deviation is 2000. We will use z-standard normal…

Q: nd mean and standard deviation if n and p are 10 and 0.2 respectively.

A:

Q: Age of Senators The average age of senators in the 108th  Congress was 64  years. If the standard…

A:

Q: Round each z-score to the nearest hundredth. A data set has a mean of x = 218 and a standard…

A: Given , x = 218    , σ = 40 We know , z-score = x-xσ

Q: A population of scores has mean 80. in this population, a score of X= 86 corresponds to z= +2. what…

A:

Q: lectricity bills: According to a government energy agency, the mean monthly household electricity…

A: The mean monthly household electricity bill is $110.10 and the standard deviation is $21.00.

Q: Suppose that the annual rate of return for a common biotechnology stock is normally distributed with…

A: Answer : From the given data , Mean (μ) =  6% = 0.06 Standard deviation (σ) = 5% = 0.05 The…

Q: Part 2 of 5 Find the critical value(s). Round the answer(s) to at least three decimal places. If…

A: Given that  Sample sizes n1=24 , n2=33 Level of significance=0.05

Q: A math class completes an exam and it is found that the class mean is 85 and the standard deviation…

A: The Chebyshev's theorem and Empirical rule is use to calculate the proportion or percentages of…

Q: SAT scores have a mean of 1000 and a standard deviation of 100. ACT scores have a mean of 20 and a…

A: Solution:Given data: SAT score, μ =1000mean score                                            x…

Q: Age of Senators The average age of senators in the  108th  Congress was 63  years. If the standard…

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

Q: IQ test scores are normally distributed with a mean of 99 and a standard deviation of 11. An…

A: IQ test scores are normally distributed with a mean of 99 and a standard deviation of 11. An…

Q: A particular fruit's weights are normally distributed, with a mean of 526 grams and a standard…

A:

Q: Age of Senators The average age of senators in the108th Congress was 59  years. If the standard…

A:

Q: Temperatures a city are distributed approximately normal, with a mean of 61 degrees fahrenheit and a…

A: Given data,Mean μ=61sd    σ=6P(X<70.5)=?

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: GivenMean(μ)=0standard deviation(σ)=1

Q: GlenBluss Community College has a population mean GPA is 2.82 with population standard deviation of…

A: Let X be the GPA of college students. Let us assume that X is normally distributed with mean 2.82…

Q: Juan makes a measurement in a chemistry laboratory and records the result in his lab report. The…

A: The standard deviation of students lab measurements is 8. Juan repeats the measurement 2 times. That…

Q: Prison Sentences The average prison sentence for a person convicted of second-degree murder is 15…

A: We have given that,  If sentences are normally distributed with mean(mu) = 15 and standard deviation…

Q: Find SAT Quartiles. SAT scores are reported on a scale from 600 to 2400. The mean is 1498 and the…

A: For μ=population mean σ=population standard deviation Z score is given by,   Z=X-μσ⇒X=μ+Zσ   The…

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the…

A: Reviewing information, Given, X : Individual's IQ score X~N(μ=100 , σ=15)

Q: Temperature in degrees Fahrenheit has been collected from a sample of 50 individuals. The mean is…

A: Given n=50, sample mean x̄=98.5,  standard deviations σx=3.2

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: Given that,The bone density test scores are normally distributed.The mean  is 0.The standard…

Q: The lighting department of a city has installed 2000 electric lamps with an average life of 10,000 h…

A: Solution-: Given: μ=10000,σ=500 We want to find x such that, P[X<x]=0.6554

Q: Q scores have a mean of µ=100 in the general population, and have a standard deviation of σ=15. You…

A: Sample size (n)=9

Q: Prison Sentences The average prison sentence for a person convicted of second-degree murder is  16…

A: Given,μ=16σ=1.8P(X>19)=?