Hi,
Could you solve and give a detailed(emphasize detailed) explanation of
how to solve the following three problems. What type of problems they
are and how they work.
Please provide translation of any unusual mathematical symbols used.
Problem 1.
A class is given a list of 20 study problems from which 10 will be
part of an upcoming exam. If a given student knows how to solve 15 of
the problems, find the probability that the student will be able to
answer,
a. all 10 questions on the exam?
b. exactly eight questions on the exam?
c. at least nine questions on the exam?
Problem 2.
A class is given a list of 8 study problems from which 5 will be part
of an upcoming exam. If a student knows how to solve 6 of the problems,
find the probability that the student will be able to answer,
a. all 5 questions on the exam?
b. exactly 4 questions on the exam?
c. at least four questions on the exam?
Problem 3.
4 letters and envelopes are addressed to 4 different people. If the
letters are randomly inserted into the envelopes, what is the
probability that,
a. exactly 1 is inserted into the correct envelope.
b. at least 1 is inserted into the correct envelope.
Thank you,
storm
Statistics Homework Solutions
#3518
Dependent probability
Problem 1.
A class is given a list of 20 study problems from which 10 will be part of an upcoming exam. If a given student knows how to solve 15 of the problems, find the probability that the student will be able to answer,
a. all 10 questions on the exam?
b. exactly eight questions on the exam?
c. at least nine questions on the exam?
Problem 2.
A class is given a list of 8 study problems from which 5 will be part of an upcoming exam. If a student knows how to solve 6 of the problems, find the probability that the student will be able to answer,
a. all 5 questions on the exam?
b. exactly 4 questions on the exam?
c. at least four questions on the exam?
Problem 3.
4 letters and envelopes are addressed to 4 different people. If the letters are randomly inserted into the envelopes, what is the probability that,
a. exactly 1 is inserted into the correct envelope.
b. at least 1 is inserted into the correct envelope.
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