4. The percentage of CSUN freshmen who graduate from CSUN within 6 years is 55%. www.csun.edu/counts/graduation-rates.php
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![**4. CSUN Freshmen Graduation Rates**
The percentage of CSUN freshmen who graduate from CSUN within 6 years is 55%.
(www.csun.edu/counts/graduation-rates.php)
**a.** Suppose that you get a random sample of 200 freshmen and construct a 95% confidence interval for the proportion of all CSUN freshmen who graduate from college within 6 years. The confidence interval is 55.8% to 60.2%. Did the confidence interval capture the parameter?
[_____]
You try again with a new sample. Will this interval contain the parameter?
[YES] [NO] [PROBABLY]
**b.** Suppose that you and 299 other statistics students each get a random sample of 200 CSUN freshmen and count the number who graduate from college within 6 years. Will all 300 of you get the same interval?
[YES] [NO] [ALMOST CERTAINLY NOT]
How many of the 300 different confidence intervals are expected to contain 55%?
ALL 300
95% of 300 = 285
55% of 300 = 165
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**5. Medi-Cal Enrollment**
One in three Californians is enrolled in Medi-Cal. Suppose that your class of 60 students doesn’t know this. Each student gets a random sample of 1000 Californians and finds the proportion of them who are enrolled in Medi-Cal. Each student then constructs a 95% confidence interval for the proportion of all Californians who are enrolled in Medi-Cal. How many of the confidence intervals would you expect to capture the parameter of 1/3?
(www.dhcs.ca.gov/dataandstats/statistics/Documents/Medi-Cal_Glance_Aug_2017_ADA.pdf)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfc1f11b-dd1d-4452-af2e-391c3b670477%2F96e006eb-8325-4329-968b-4ff0abdc456f%2Fvkzot3m_processed.jpeg&w=3840&q=75)
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