Chapter 4: Q.66 (page 287)
For the given values of the random variable X, fill in the corresponding probabilities
Short Answer
role="math" localid="1648582898375" | |
role="math" localid="1648582946177" | |
role="math" localid="1648583006514" | |
Chapter 4: Q.66 (page 287)
For the given values of the random variable X, fill in the corresponding probabilities
role="math" localid="1648582898375" | |
role="math" localid="1648582946177" | |
role="math" localid="1648583006514" | |
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Get started for freeA group of Martial Arts students is planning on participating in an upcoming demonstration. Six are students of Tae Kwon Do; seven are students of Shotokan Karate. Suppose that eight students are randomly picked to be in the first demonstration. We are interested in the number of Shotokan Karate students in that first demonstration.
a. In words, define the random variable X.
b. List the values that X may take on.
c. Give the distribution of X. X ~ _____(_____,_____)
d. How many Shotokan Karate students do we expect to be in that first demonstration?
What values does take on?
The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 20-year period. Assume each year is independent.
a. In words, define the random variable X.
b. List the values that X may take on.
c. Give the distribution of X. X ~ _____(_____,_____)
d. How many audits are expected in a 20-year period?
e. Find the probability that a person is not audited at all.
f. Find the probability that a person is audited more than twice
On average, Pierre, an amateur chef, drops three pieces of egg shell into every two cake batters he makes. Suppose
that you buy one of his cakes.
a. In words, define the random variable .
b. List the values that may take on.
c. Give the distribution of
d. On average, how many pieces of egg shell do you expect to be in the cake?
e. What is the probability that there will not be any pieces of egg shell in the cake?
f. Let’s say that you buy one of Pierre’s cakes each week for six weeks. What is the probability that there will not
be any egg shell in any of the cakes?
g. Based upon the average given for Pierre, is it possible for there to be seven pieces of shell in the cake? Why?
Define the random variable X.
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