According to estimates, 44 percent of Bangladeshis have blood type B+. Suppose, you have started to sample people as you are looking for B+ blood type. Once you find a person with B+ blood type, you'll stop sampling immediately. What's the probability that you'll need to sample exactly 6 people to find someone with blood type B+? What is the expected number of people to sample in order to find someone with that blood type and what is the standard deviation?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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1. According to estimates, 44 percent of Bangladeshis have blood type B+. Suppose,
you have started to sample people as you are looking for B+ blood type. Once you
find a person with B+ blood type, you'll stop sampling immediately. What's the
probability that you'll need to sample exactly 6 people to find someone with blood
type B+? What is the expected number of people to sample in order to find someone
with that blood type and what is the standard deviation?
2. Shomee is rolling a die repeatedly. What is the probability that a six will emerge for
the first time on the fifth roll? What is the expected number of rolls to get the first
six and what is the standard deviation of the number of rolls?
Transcribed Image Text:1. According to estimates, 44 percent of Bangladeshis have blood type B+. Suppose, you have started to sample people as you are looking for B+ blood type. Once you find a person with B+ blood type, you'll stop sampling immediately. What's the probability that you'll need to sample exactly 6 people to find someone with blood type B+? What is the expected number of people to sample in order to find someone with that blood type and what is the standard deviation? 2. Shomee is rolling a die repeatedly. What is the probability that a six will emerge for the first time on the fifth roll? What is the expected number of rolls to get the first six and what is the standard deviation of the number of rolls?
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