Imagine that on average two out of seven people are left handed. Assume that each person is either left handed or right handed, but not both. For each part, specify which distribution you used (Binomial, Geometric, or Poisson). (a) What is the probability that exactly 49 out of the 100 peo- ple are left-handed? (b) What is the probability that at least 3 people are left- handed? (c) Suppose the 100 people are standing in line, and you ask each of them whether they are left or right-handed. What is the probability that the 40th person you asked will be the first one who says they’re left-handed? (d) What is the expected number of people you have to ask until you find your first left-handed person?
Imagine that on average two out of seven people are left handed. Assume that each person is either left handed or right handed, but not both. For each part, specify which distribution you used (Binomial, Geometric, or Poisson). (a) What is the probability that exactly 49 out of the 100 peo- ple are left-handed? (b) What is the probability that at least 3 people are left- handed? (c) Suppose the 100 people are standing in line, and you ask each of them whether they are left or right-handed. What is the probability that the 40th person you asked will be the first one who says they’re left-handed? (d) What is the expected number of people you have to ask until you find your first left-handed person?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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Imagine that on average two out of seven people are left handed. Assume that each person is either left handed or right handed, but not both. For each part, specify which distribution you used (Binomial, Geometric, or Poisson).
(a) What is the probability that exactly 49 out of the 100 peo- ple are left-handed?
(b) What is the probability that at least 3 people are left- handed?
(c) Suppose the 100 people are standing in line, and you ask each of them whether they are left or right-handed. What is the probability that the 40th person you asked will be the first one who says they’re left-handed?
(d) What is the expected number of people you have to ask until you find your first left-handed person?
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