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Chapter 5: Q 24. (page 247)
In 10 Bernoulli trials, how many outcomes contain exactly three successes?
In 10 Bernoulli trials, 120 outcomes contain exactly three successes.
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What does it mean three events to be mutually exclusive.?
In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Cardiovascular Hospitalizations. From the Florida State Center for Health Statistics report Women and Cardiovascular Disease Hospitalization, we obtained the following table showing the number of female hospitalizations for cardiovascular disease, by age group, during one year.
One of these case records is selected at random. Find the probability that the woman was
(a) in her 50s.
(b) less than 50 years old.
(c) between 40 and 69 years old, inclusive.
(d) 70 years old or older.
Discuss the pros and cons of binomial probability tables.
Roughly speaking, What is an experiment? an event?
According to the Daily Racing Farm, the probability is about \(0.67\) that the favorite in a horse race will finish in the money (first, second or third place). In the next five races, what is the probability that the favorite finishes in the money.
a. exactly twice?
b. exactly four times
c. at least four times?
d. between two and four times, inclusive?
e. Determine the probability distribution of the random variable \(X\), the number of times the favorite finishes in the money in the next five races.
f. Identify the probability distribution of \(X\) as right skewed, symmetric or left skewed without consulting its probability distribution or drawing its probability histogram.
g. Draw a probability histogram for \(X\).
h. Use your answer from part (c) and definitions \(5.9\) and \(5.10\) on pages \(227\) and \(229\) respectively to obtain the mean and standard deviation of the random variable \(X\).
i. Use formula \(5.5\) on page \(239\) to obtain the mean and standard deviation of the random variable \(X\).
j. Interpret your answer for the mean in words.
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