Posted: September 16th, 2017

STATS – Probability Problems

An unfair coin has a probability of coming up heads of 0.65. The coin is flipped 50 times. What is the probability it will come up heads 25 or fewer times? (Give answer to at least 3 decimal places).
Use Binomdist function in excel

Bayes Theorem
P( high risk)
P (low risk)
P( moderate risk)

0.2
0.4
0.4

P( accident/high risk)
P( accident/moderate risk)
P( accident/low risk) = 0

0.2
0.1
0

Heights of adult women in the United States are normally distributed with a population mean of = 63.5 inches and a population standard deviation of = 2.5. A medical researcher is planning to select a large random sample of adult women to participate in a future study. What is the standard value, or z-value, for an adult woman who has a height of 68.5 inches?

An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city. A person who plans to purchase one of these new cars wrote the manufacturer for the details of the tests, and found out that the standard deviation is 3 miles per gallon. Assume that in-city mileage is approximately normally distributed.
Use Normdist function in excel

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