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To kill a target, we need to hit it twice.  The weapon we are using has a single-shot hit probability of 0.4.  Each shot has the same hit probability and each shot is independent.  Compute the expected number of shots until the target is killed.  Blank 1. Calculate the answer by read surrounding text. Examples (H = hit, M  = miss) H, M, M, H :           4 shots to kill M, M, M, H, H:       5 shots to kill M, H, M, M, M, H: 6 shots to kill H, M, H:                 3 shots to kill H, H:                       2 shots to kill

To kill a target, we need to hit it twice.  The weapon we are using has a single-shot hit probability of 0.4.  Each shot has the same hit probability and each shot is independent.  Compute the expected number of shots until the target is killed.  Blank 1. Calculate the answer by read surrounding text. Examples (H = hit, M  = miss) H, M, M, H :           4 shots to kill M, M, M, H, H:       5 shots to kill M, H, M, M, M, H: 6 shots to kill H, M, H:                 3 shots to kill H, H:                       2 shots to kill

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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To kill a target, we need to hit it twice.  The weapon we are using has a single-shot hit probability of 0.4.  Each shot has the same hit probability and each shot is independent.  Compute the expected number of shots until the target is killed.  Blank 1. Calculate the answer by read surrounding text.

Examples (H = hit, M  = miss)

  • H, M, M, H :           4 shots to kill
  • M, M, M, H, H:       5 shots to kill
  • M, H, M, M, M, H: 6 shots to kill
  • H, M, H:                 3 shots to kill
  • H, H:                       2 shots to kill
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