please help me with this probability question

zoey

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According to U.S. News & World Report data, in 1995 tuition costs at Indiana University, a public university, were $2,984 per year, while the tuition costs at the University of Evansville, a private university in Indiana, were $11,800 per year. In that same year the average cost of tuition at all public U.S. colleges was $2,208, with a standard deviation of $1,041, and the average cost of tuition at all private U.S. colleges was $10,979.68, with a standard deviation of $4,057.

1. What is the probability of a private university costing less than $11,800? (Hint: Use the mean and standard deviation values for all private schools to answer this question.)

2. What is the probability of a public university costing less than $2,984? (Hint: Use the mean and standard deviation values for all public schools to answer this question.)
 
You will need to calculate a z-score. This requires the value in which you are interested, as well as the known mean and standard deviation.

Let's see what you get.
 
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