TMTH
TMTH3360 Ch 4 HW.xls

# TMTH3360 Ch 4 HW.xls - 4.1 Tossing a Die An experiment...

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e5dc5ac0dcee436cb9f1f8fe9011fbe473301fdb.xls TMTH3360 - Applied Technical Statistics Page 1 of 11 4.1 Tossing a Die An experiment involves tossing a single die. These are some events: A: Observe a 2 B: Observe an even number C: Observe a number greater than 2 D: Observe both A and B E: Observe A or B or both F: Observe both A and C a. List the simple events in the sample space. b. List the simple events in each of the events A through F. c. What probabilities should you assign to the simple events? d. Solutions a. {1, 2, 3, 4, 5, 6} b. A: {2} B: {2, 4, 6} C: {3, 4, 5, 6} D: {2} E: {2, 4, 6} F: {} c. 1/6 d. P(A) 1/ 6 P(B) 1/ 2 P(C) 2/ 3 P(D) 1/ 6 P(E) 1/ 2 P(F) 0 4.4 Free Throws Simple Event Probability 1 Hit Hit 0.49 2 Hit Miss ? 3 Miss Hit 0.21 4 Miss Miss 0.09 a. Find the probability that the player will hit on the first throw and miss on the second. b. Find the probability that the player will hit on at least one of the two free throws. Calculate the probabilities of the six events A through F by adding the appropriate simple- event probabilities. A particular basketball player hits 70% of her free throws. When she tosses a pair of free throws, the four possible simple events and three of their associated probabilities are as given in the table: Outcome of First Free Throw Outcome of Second Free Throw

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e5dc5ac0dcee436cb9f1f8fe9011fbe473301fdb.xls TMTH3360 - Applied Technical Statistics Page 2 of 11 Solutions a. 1-.49-.21-.09= 0.21 b. 1-.09= 0.91
e5dc5ac0dcee436cb9f1f8fe9011fbe473301fdb.xls TMTH3360 - Applied Technical Statistics Page 3 of 11 4.5 Four Coins a. b. What is the probability that the selection will contain the half-dollar? c. What is the probability that the total amount drawn will equal \$0.60 or more? Solutions a.

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• Spring '12
• Dr.PatrickDaniels
• Probability theory, Applied Technical Statistics

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