Chapter 5: Q.5.5 (page 346)
What does the shaded area represent? P(___< x < ___)
Short Answer
The probability of the shaded region is.
Chapter 5: Q.5.5 (page 346)
What does the shaded area represent? P(___< x < ___)
The probability of the shaded region is.
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In major league baseball, a no-hitter is a game in which a pitcher, or pitchers, doesn't give up any hits throughout the game. No-hitters occur at a rate of about three per season. Assume that the duration of time between no-hitters is exponential.
a. What is the probability that an entire season elapses with a single no-hitter?
b. If an entire season elapses without any no-hitters, what is the probability that there are no no-hitters in the following season?
c. What is the probability that there are more than no-hitters in a single season?
According to the American Red Cross, about one out of nine people in the U.S. have Type B blood. Suppose the blood types of people arriving at a blood drive are independent. In this case, the number of Type B blood types that arrive roughly follows the Poisson distribution.
a. If people arrive, how many on average would be expected to have Type B blood?
b. What is the probability that over people out of these 100 have type B blood?
c. What is the probability that more than people arrive before a person with type B blood is found?
Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks).
a. X ~ _________
b. Graph the probability distribution.
c. f(x) = _________
d. รฌ = _________
e. รณ = _________
f. Find the probability that a person is born at the exact moment week 19 starts. That is, find P(x = 19) = _________
g. P(2 < x < 31) = _________
h. Find the probability that a person is born after week 40.
i. P(12 < x|x < 28) = _________
j. Find the 70th percentile.
k. Find the minimum for the upper quarter
Which type of distribution does the graph illustrate?
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