Lecture 9: 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. 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? Once you

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Lecture 9:
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?
3. A student's chances of being accepted to Harvard are about 5%. What is the
probability that only three students from the same school will be accepted if twenty
apply?
Calculate the expected number of accepted students if there were ten applicants
from the same school. Also, find the standard deviation of the number of accepted
applicants.
4. It's estimated that only about 5% of the population has hazel eyes. What is the
probability that only 10 people from a gathering of 100 people have hazel eyes?
Calculate the mean and the variance of the number of hazel-eyed people from a
gathering of 150 people.
Transcribed Image Text:Lecture 9: 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? 3. A student's chances of being accepted to Harvard are about 5%. What is the probability that only three students from the same school will be accepted if twenty apply? Calculate the expected number of accepted students if there were ten applicants from the same school. Also, find the standard deviation of the number of accepted applicants. 4. It's estimated that only about 5% of the population has hazel eyes. What is the probability that only 10 people from a gathering of 100 people have hazel eyes? Calculate the mean and the variance of the number of hazel-eyed people from a gathering of 150 people.
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