2. Assume the standard normal mean 0 and standard deviation 1. With a) Find the z-score associated with 65% of the area to the left. Result: b) For a symmetric interval, centered at 0, what two z-scores create an interval containing 98% of the data.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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. Sketch and label the curve and shade
the area indicated in the example.
• Show any scratch work/ make note
of, or list the function(s) that you used,
such as "normal distribution" or "inverse
cdf," "Complement rule," etc. Don't worry
about the format for this, I want you to
have these notes for the final :)
• Round your answer to four places
after the decimal.
• You may use the desmos normal
distribution calculator.
Transcribed Image Text:. Sketch and label the curve and shade the area indicated in the example. • Show any scratch work/ make note of, or list the function(s) that you used, such as "normal distribution" or "inverse cdf," "Complement rule," etc. Don't worry about the format for this, I want you to have these notes for the final :) • Round your answer to four places after the decimal. • You may use the desmos normal distribution calculator.
2. Assume the standard normal curve with
mean 0 and standard deviation 1.
a) Find the z-score associated with 65%
of the area to the left.
Result:
b) For a symmetric interval, centered at
0, what two z-scores create an interval
containing 98% of the data.
Result:
c) Find the missing value for
P(z>?)=0.589
Result:
d) Let 1 and 2 be the endpoints of an
interval under the standard normal
curve. Find 21 if %2=1.25 and the area
between 1 and 2 is 0.456.
Transcribed Image Text:2. Assume the standard normal curve with mean 0 and standard deviation 1. a) Find the z-score associated with 65% of the area to the left. Result: b) For a symmetric interval, centered at 0, what two z-scores create an interval containing 98% of the data. Result: c) Find the missing value for P(z>?)=0.589 Result: d) Let 1 and 2 be the endpoints of an interval under the standard normal curve. Find 21 if %2=1.25 and the area between 1 and 2 is 0.456.
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