Question
In: Math
Consider randomly selecting a student at a large university. Let A be the event that the...
Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let B be the analogous event for MasterCard, and let C be the event that the selected student has an American Express card. Suppose that P(A) = 0.6,P(B) = 0.4,and P(A ∩ B) = 0.3,suppose that P(C) = 0.2,P(A ∩ C) = 0.12,P(B ∩ C) = 0.1, and P(A ∩ B ∩ C) = 0.08.
a)What is the probability that the selected student has at least one of the three types of cards?
b)What is the probability that the selected student has both a Visa card and a MasterCard but not an American Express card?
c)Calculate P(B | A)and P(A | B).
P(B | A)=
P(A | B)=
d)If we learn that the selected student has an American Express card, what is the probability that she or he also has both a Visa card and a MasterCard?
e)Given that the selected student has an American Express card, what is the probability that she or he has at least one of the other two types of cards?
Solutions
milcah answered 1 year agoRelated Solutions
Consider randomly selecting a student at a large university, and let "A" be the event that...
Consider randomly selecting a student at a large university, and
let "A" be the event that the selected student has a Visa card and
"B" be the analogous event for MasterCard. Suppose that P(A)=0.6
and P(B)=0.4.
a) Could it be the case that P(A and B)=0.5? Why or why not?
Consider randomly selecting a student at a large university, and let A be the event that...
Consider randomly selecting a student at a large university, and
let A be the event that the selected student has a Visa
card and B be the analogous event for MasterCard. Suppose
thatP(A) = 0.7and
P(B) = 0.3.
(a)Could it be the case
thatP(A ∩ B)
= 0.5?
Why or why not?
(b) From now on, suppose
thatP(A ∩ B)
= 0.2.
What is the probability that the selected student has at least
one of these two types of cards?...
Let X be the height of a student to be randomly selected at the University. Assume...
Let X be the height of a student to be randomly selected at the
University. Assume (for the purpose of modeling) that X has the
normal distribution with a mean of 68 inches and a standard
deviation of 4.9 inches.
a.) What is the probability a randomly selected student is
shorter than 65 inches?
b.) What is the probability a randomly selected student is
taller than 73 inches?
c.) What is the probability a randomly selected student's height
falls within...
Let X be the height of a student to be randomly selected at the University. Assume...
Let X be the height of a student to be randomly selected at the
University. Assume (for the purpose of modeling) that X has the
normal distribution with a mean of 68 inches and a standard
deviation of 4.9 inches.
a.) What is the probability a randomly selected student is
shorter than 65 inches?
b.) What is the probability a randomly selected student is
taller than 73 inches?
c.) What is the probability a randomly selected student's height
falls within...
Let U be the event that a randomly chosen employee of an insurance company has been...
Let U be the event that a randomly chosen employee of an
insurance company has been an underwriter. Let C be the event that
a randomly chosen employee of an insurance company has been a
claims adjuster. Identify the answer which expresses the following
with correct notation: Of all the employees of an insurance company
who have been underwriters, the probability that a randomly chosen
employee of an insurance company has been a claims adjuster. Select
the correct answer below:...
According to a study done by a university student, the probability a randomly selected individual will...
According to a study done by a university student, the
probability a randomly selected individual will not cover his or
her mouth when sneezing is 0.267. Suppose you sit on a bench in a
mall and observe people's habits as they sneeze.
(a) What is the probability that among 8 randomly observed
individuals exactly 4 do not cover their mouth when sneezing?
(b) What is the probability that among 18 randomly observed
individuals fewer than 6 do not...
According to a study done by a university student, the probability a randomly selected individual will...
According to a study done by a university student, the
probability a randomly selected individual will not cover his or
her mouth when sneezing is
0.267. Suppose you sit on a bench in a mall and observe
people's habits as they sneeze.
(a) What is the probability that among 18
randomly observed individuals exactly 8 do not cover their mouth
when sneezing?
(b) What is the probability that among 18
randomly observed individuals fewer than 3 do not cover their...
According to a study done by a university student, the probability a randomly selected individual will...
According to a study done by a university student, the
probability a randomly selected individual will not cover his or
her mouth when sneezing is 0.2670.
Suppose you sit on a bench in a mall and observe people's
habits as they sneeze.
(a) What is the probability that among 18 randomly observed
individuals exactly 5 do not cover their mouth when sneezing?
(b) What is the probability that among 18 randomly observed
individuals fewer than 3 do not cover their...
According to a study done by a university student, the probability a randomly selected individual will...
According to a study done by a university student, the
probability a randomly selected individual will not cover his or
her mouth when sneezing is 0.267. Suppose you sit on a bench in a
mall and observe people's habits as they sneeze. (a) What is the
probability that among 10 randomly observed individuals exactly 7
do not cover their mouth when sneezing? (b) What is the
probability that among 10 randomly observed individuals fewer than
5 do not cover their...
According to a study done by a university student, the probability a randomly selected individual will...
According to a study done by a university student, the
probability a randomly selected individual will not cover his or
her mouth when sneezing is
0.267
Suppose you sit on a bench in a mall and observe people's
habits as they sneeze.
(a)
What is the probability that among
18
randomly observed individuals exactly
4
do not cover their mouth when sneezing?
(b)
What is the probability that among
18
randomly observed individuals fewer than
6
do not cover their...
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