Help with calculations

[Joe Benson]

You want to brag to your friends about your new job as an intelligence officer where you get paid $95 000/year. You want to tell them “I make more than ____ % of the population”. Fill in the blank being as precise as you can (keep two decimal places).
Assume that income is normally distributed with a population mean equal to $65 000 and a standard deviation of $14 000.


You are writing your first report for the Elizabeth Frye society. You look at the last 25 reports written for the organization. These reports have a mean length of 120 pages with a standard deviation of 13 pages. You want to stay within 1.5 standard deviations of the mean. What is the shortest report you should write? What is the longest report you should write?


You are a pro-bono attorney assigned to a youth accused of possession of marijuana. Before going to court, you want to get an idea of the typical sentence length for youth found guilty of this offense. You ask around and, based on a sample of 20 youth, determine that the mean sentence length is 9 months with a standard deviation of 2 months (normally distributed). What’s the probability that your client, if found guilty, will be sentenced to 12 months or more?


You are setting standards for admission to the Vancouver Police Department. The applicant pool’s (n=25) distribution of scores on the fitness test is normally distributed with a mean of 35 and a standard deviation of 2. You want to admit applicant’s in the top 10% only. What cutoff score should you use?

 

[jonah2.0]

Beer soaked comment follows.

You want to brag to your friends about your new job as an intelligence officer where you get paid $95 000/year. You want to tell them “I make more than ____ % of the population”. Fill in the blank being as precise as you can (keep two decimal places).
Assume that income is normally distributed with a population mean equal to $65 000 and a standard deviation of $14 000.


You are writing your first report for the Elizabeth Frye society. You look at the last 25 reports written for the organization. These reports have a mean length of 120 pages with a standard deviation of 13 pages. You want to stay within 1.5 standard deviations of the mean. What is the shortest report you should write? What is the longest report you should write?


You are a pro-bono attorney assigned to a youth accused of possession of marijuana. Before going to court, you want to get an idea of the typical sentence length for youth found guilty of this offense. You ask around and, based on a sample of 20 youth, determine that the mean sentence length is 9 months with a standard deviation of 2 months (normally distributed). What’s the probability that your client, if found guilty, will be sentenced to 12 months or more?


You are setting standards for admission to the Vancouver Police Department. The applicant pool’s (n=25) distribution of scores on the fitness test is normally distributed with a mean of 35 and a standard deviation of 2. You want to admit applicant’s in the top 10% only. What cutoff score should you use?

That is quite a list of laundry, there, Joe.

 

[Deleted member 4993]

You want to brag to your friends about your new job as an intelligence officer where you get paid $95 000/year. You want to tell them “I make more than ____ % of the population”. Fill in the blank being as precise as you can (keep two decimal places).
Assume that income is normally distributed with a population mean equal to $65 000 and a standard deviation of $14 000.


You are writing your first report for the Elizabeth Frye society. You look at the last 25 reports written for the organization. These reports have a mean length of 120 pages with a standard deviation of 13 pages. You want to stay within 1.5 standard deviations of the mean. What is the shortest report you should write? What is the longest report you should write?


You are a pro-bono attorney assigned to a youth accused of possession of marijuana. Before going to court, you want to get an idea of the typical sentence length for youth found guilty of this offense. You ask around and, based on a sample of 20 youth, determine that the mean sentence length is 9 months with a standard deviation of 2 months (normally distributed). What’s the probability that your client, if found guilty, will be sentenced to 12 months or more?


You are setting standards for admission to the Vancouver Police Department. The applicant pool’s (n=25) distribution of scores on the fitness test is normally distributed with a mean of 35 and a standard deviation of 2. You want to admit applicant’s in the top 10% only. What cutoff score should you use?

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[Steven G]

This is a math help forum, not a we'll do your math homework forum. Read our posting guidelines, follow them and post back showing what work you have done so far.