Geometric and binomial probability  #3 and #4

MATLAB: An Introduction with Applications
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Geometric and binomial probability 

#3 and #4

According to a 2019 Kaiser Family Foundation analysis, it is estimated that approximately 27%
of U.S. adults under the age of 65 (about 54 million) have pre-existing health conditions that
would likely have made them uninsurable in the individual markets that existed in most states
before the Affordable Care Act.
Suppose we randomly select U.S. adults under 65.
1. What is the probability that the tenth adult selected is the first adult with a pre-existing
health condition?
2. If we randomly select a group of 20 adults for a study on health care, what is the
probability that we select 12 of them with a pre-existing health condition? Sketch or
paste the binomial distribution for this scenario.
3. If we randomly select a group of 50 adults for a different study, what is the probability
that we select at least half of them with a pre-existing health condition?
4. According to the US census, there are approximately 29,305 adults under the age of 65 in Sacramento. How many of
those adults do we expect to have a pre-existing health condition that will make them uninsurable?
Transcribed Image Text:According to a 2019 Kaiser Family Foundation analysis, it is estimated that approximately 27% of U.S. adults under the age of 65 (about 54 million) have pre-existing health conditions that would likely have made them uninsurable in the individual markets that existed in most states before the Affordable Care Act. Suppose we randomly select U.S. adults under 65. 1. What is the probability that the tenth adult selected is the first adult with a pre-existing health condition? 2. If we randomly select a group of 20 adults for a study on health care, what is the probability that we select 12 of them with a pre-existing health condition? Sketch or paste the binomial distribution for this scenario. 3. If we randomly select a group of 50 adults for a different study, what is the probability that we select at least half of them with a pre-existing health condition? 4. According to the US census, there are approximately 29,305 adults under the age of 65 in Sacramento. How many of those adults do we expect to have a pre-existing health condition that will make them uninsurable?
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