STA 301 - HW07 Key

STA 301 - HW07 Key - -3-2-1123.8198 .0901 .0901 STA 301...

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Unformatted text preview: -3-2-1123.8198 .0901 .0901 STA 301 Applied Statistics Spring 2008, Section B Homework #7 - KeyDue Wednesday, March 12 Question 1: Suppose Zis a random variable having a standard normal distribution. Calculate the following probabilities: (a) ( 2965.1ZP(b) ( 2965.1<<ZP1 P(Z < 1.65) = 1 - .9505 = .0495P(0 < Z < 1.65) = P(Z > 0) P(Z > 1.65) = .5000 - .0495 = .4505(c) ( 2934.134.1<-ZP(d) ( 2975.125.1<<-ZPP(-1.34 < Z < 1.34) = 1 2*P(Z < -1.34) P(-1.25 < Z < 1.75) = 1 2 * .0901 = .8198= P(Z < 1.75) P(Z < -1.25) = .9599 - .1056 = .8543-3-2-1123.0495 .9505 -3-2-1123.5000 .4505 .0495 -3-2-1123.1056 .0401 .8543 STA 301-B, Spring 2008 Homework 7 Key Page 2 of 5 -3-2-1123.0594 .9406 -3-2-1123.7301 .1587 .1112 (e) ( 291|5.1<ZZPP(Z < 1.5 | Z > 1) = P(Z < 1.5 and Z > 1) / P(Z > 1) ** Definition of conditional probability = P(1 < Z < 1.5) / P(Z > 1) ** Solid area divided by total shaded area Question 2As reported in Runners Worldmagazine, the times of the finishers in the New York City 10km run are normally distributed with a mean of 61 minutes and a standard deviation of...
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This homework help was uploaded on 04/17/2008 for the course STA 301 taught by Professor Noe during the Spring '08 term at Miami University.

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STA 301 - HW07 Key - -3-2-1123.8198 .0901 .0901 STA 301...

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