**Prison Sentences: Probability Analysis**The average prison sentence for a person convicted of second-degree murder is 16 years. If the sentences are normally distributed with a standard deviation of 2.1 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: 0 / 2****Part 1 of 2**(a) A prison sentence is greater than 19 years.\[ P(X > 19) = \; \text{[Input Box]} \]There are no graphs or diagrams present in this image. **Part 2 of 2**(b) A prison sentence is less than 13 years.\[ P(X < 13) = \] [Input Box]This section includes an input area where you can enter the probability that a prison sentence is less than 13 years. There are buttons beside the input box: an "X" button for clearing the input and a refresh circular arrow button, likely for resetting the calculation or refreshing the data.

Introduction - z-score z=x-μσwhere, x=score μ=mean σ=standard deviation

Answered: Prison Sentences The average prison…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Data from a state indicate that scores on the SAT test are normally distributed with a mean of 994 and a standard deviation of 204. Scores on the ACT test are normally distributed with a mean of 20 and a standard deviation of 5.1. It is assumed that the two tests measure the same aptitude, but use different scales.If a student gets an SAT score that is the 77 percentile, find the actual SAT score. Round answer to a whole number. SAT score = What would be the equivalent ACT score for this student? Round answer to 1 decimal place. ACT score = If a student gets an SAT score of 1280, find the equivalent ACT score. Round answer to 1 decimal place. ACT score =
Empirical research on stock market data for two consecutive trading days indicates that 60% of the stocks that went up on the first day also went up on the second day. Yesterday, 600 stocks went up. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p gives the proportion of the 600 stocks that went up yesterday that will go up today. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.58), which is the probability that fewer than 58% of the stocks that went up yesterday will go up again today. Round your answer to four decimal places.
Solve Part a Suppose X is a normally distributed variable with a mean of 10 and a deviation of 2. Please give a numerical solution for part (a) a. Find p(X<0)
Empirical research on stock market data indicates that over the course of a year, 60% of stocks go up. A random sample of 600 stocks is going to be chosen at the beginning of next year. Let p be the proportion of the stocks in the sample that go up over the course of a year. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(p>0.64), which is the probability that more than 64% of the stocks in the sample go up over the course of the year. Round your answer to four decimal places. X 5
Prison Sentences The average prison sentence for a person convicted of second-degree murder is 16 years. If the sentences are normally distributed with a standard deviation of 2.1 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: 0 / 20 of 2 Parts Complete Part 1 of 2 (a) A prison sentence is greater than 19 years. =P>X19
Monthly Mortgage Payments The average monthly mortgage payment including principal and interest is $982 in the United States. Assume that the standard deviation is approximately $180 and the mortgage payments are approximately normally distributed. Find these probabilities of the monthly payment selected randomly. Enter the final answers as decimals rounded to at least four places. Round intermediate z -value calculations to two decimal places. (a) More than $1220 P(X.1220)= (b) Between $790 and $1150 P(790<X<1150)=
What value of x is two standard deviation to the right of the mean if X - N(10, 1)? 1 2 4 8 10 12
IQ scores have a mean of µ=100 in the general population, and have a standard deviation of σ=15. You take a random sample of n=9 people. What is the probability that your sample mean will be M=95 or less?
Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table.A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1028 h with a standard deviation of 87 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.) (a) at least 980 h %(b) between 840 and 890 h %
A sample of n=20 scores has a mean of M=107. Find the z-score for this sample if it was obtained from a population with a mean of μ=109 and a standard deviation of σ=5. Group of answer choices +1.73 -1.79 +0.54 -0.87
A prison sentence is less than 13 years? P (X<13) =
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