STAT 213 Chapter Notes - Chapter 5: Random Variable, Quartile, High Iq Society

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Published on 24 Jun 2019
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Chapter 4: Continuous Random Variables
1. The time, X, it takes a commuter bus to complete its route is uniformly
distributed between 75 and 111 minutes.
A. The density function is:
B. What is the probability that the bus finishes its route in less than
90 minutes?
C. What is the probability the bus takes less than 90 or more than 95
minutes to complete the route?
D. What is the first quartile in this distribution?
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Chapter 4: Continuous Random Variables
2.
A. The scores of adults on an IQ test are approximately Normal with
mean 100 and standard deviation 15. The organization MENSA, which
calls itself 'the high IQ society', requires an IQ score of 130 or
higher for membership. About what percent of adults would qualify
for membership?!
B. The proportion of observations from standard Normal distribution
that take values larger than z = -0.75 is about:
C. The proportion of observations from standard Normal distribution
that takes values less than z = 1.15 is about:!
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Chapter 4: Continuous Random Variables
3. Pam took 4 courses last semester: Physics, Spanish, Calculus, and
Biology. The means and standard deviations for the final exams, and Pam's
scores are given in the table below. Convert Pam's scores into z-scores.
On what exam did Pam have the highest relative score?
4. Find the z-score from a standard normal distribution that satisfies each
of the following statements.
A. The point!z!with 15.15 percent of the observations falling below
it.!
B. The closest point!z!with 24.54 percent of the observations falling
above it.!
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