Unit 7 Practice/Homework

Last updated 20 days ago

62 Nsɛmmisa

Unit 7 Practice/Homework

Last updated 20 days ago

62 Nsɛmmisa

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Find P(B).

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Are A and B independent?

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A and B are independent.

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A and B are mutually exclusive.

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Find the number of teens who prefer vanilla.

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Find the probability that they are a child who prefers chocolate.
$P(Child \cap Chocolate)$

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Find the probability that the person is an adult given that they prefer neither flavor.
$P(Adult|Neither)$

Two participants are selected at random.

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Complete the table.

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Find the value of p.

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Find the value of q.

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A girl is selected at random. Find the probability that she takes economics but not history.
$P(E \cap H')$

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Find the value of x.

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Find the value of y.

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Find the number of employees who, in the last year, did not travel to work by car, bicycle or public transportation.
$n(Neither)$

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Find the probability that Pablo leaves home before 07:00 and is late for work.
$P(before 7 \cap late)$

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Unit 7 Practice/Homework

Unit 7 Practice/Homework

Find P(B).

Are A and B independent?

A and B are independent.

A and B are mutually exclusive.

Find the number of teens who prefer vanilla.

Find the probability that they are a child who prefers chocolate.$P(Child \cap Chocolate)$

Find the probability that the person is an adult given that they prefer neither flavor.$P(Adult|Neither)$

Complete the table.

Find the value of p.

Find the value of q.

A girl is selected at random. Find the probability that she takes economics but not history.$P(E \cap H')$

Find the value of x.

Find the value of y.

Find the number of employees who, in the last year, did not travel to work by car, bicycle or public transportation.$n(Neither)$

Find the probability that Pablo leaves home before 07:00 and is late for work.$P(before 7 \cap late)$

Find P(B).

Are A and B independent?

$P(B\cap A')$

Find $P(C \cap D)$

Find $P(C \mid D)$

$P(A \cap B)$

$P(A' \cap B')$

Find $P(X \cup Y)$

Find $P(X|Y)$

A and B are independent.

A and B are mutually exclusive.

Find the number of teens who prefer vanilla.

Find the probability that they are a child who prefers chocolate.$P(Child \cap Chocolate)$

Find the probability that the person is an adult given that they prefer neither flavor.$P(Adult|Neither)$

Find the probability that one is a teen who prefers vanilla and the other is a child who prefers neither.$P(TV \cap CN)$

Find the probability that both prefer chocolate given that they are adults.$P(Chocolate|Adult)$

Complete the table.

A person is selected at random. Find the probability that a child was chosen given that they like to fly kites.$P(Child|Kites)$

A person is selected at random. Find the probability that the person was an adult and likes to jog.$P(Adult \cap Jog)$

Two children are selected at random. Calculate the probability that one likes to fly kites and one likes to picnic.

On the Venn diagram shade the region $A' \cap B'$

Find $P(A'|B')$

Shade the area in the diagram which represents the set $B \cap A'$.

Given, $n(U)=100, n(A)=30, n(B)=50, n(A \cup B)=65$, find $n(B \cap A')$.

Find $P(B \cap A')$.

Find the value of p.

Find the value of q.

A girl is selected at random. Find the probability that she takes economics but not history.$P(E \cap H')$

Complete the Venn diagram for these students.

One of the students who joined the sports club was chosen at random. Find the probability that this student joined only the sports club.$P(S)$

Determine whether the events S and M are independent.

Find the value of x.

Find the value of y.

Find the number of employees who, in the last year, did not travel to work by car, bicycle or public transportation.$n(Neither)$

Find $n((C \cup B) \cap P')$.

Complete the tree diagram.

Find the probability that exactly one of the selected balls is green.$P(G)$

Find the probability that both balls selected are the same color.$P(same color)$

Find the probability that the first ball is white given that the second ball is green.$P(W|2G)$

Complete the following tree diagram.

Find the probability that Pablo leaves home before 07:00 and is late for work.$P(before 7 \cap late)$

Find the probability that Pablo is late for work.$P(late)$

Given that Pablo is late for work, find the probability that he left home before 07:00.$P(before 7|late)$

Two days next week Pablo will drive to work. Find the probability that he will be late at least once.

$P(B\cap A')$

Find $P(C \cap D)$

Find $P(C \mid D)$

$P(A \cap B)$

$P(A' \cap B')$

Find $P(X \cup Y)$

Find $P(X|Y)$

Find the probability that one is a teen who prefers vanilla and the other is a child who prefers neither.$P(TV \cap CN)$

Find the probability that both prefer chocolate given that they are adults.$P(Chocolate|Adult)$

A person is selected at random. Find the probability that a child was chosen given that they like to fly kites.$P(Child|Kites)$

A person is selected at random. Find the probability that the person was an adult and likes to jog.$P(Adult \cap Jog)$

Two children are selected at random. Calculate the probability that one likes to fly kites and one likes to picnic.

On the Venn diagram shade the region $A' \cap B'$

Find $P(A'|B')$

Shade the area in the diagram which represents the set $B \cap A'$.

Given, $n(U)=100, n(A)=30, n(B)=50, n(A \cup B)=65$, find $n(B \cap A')$.

Find $P(B \cap A')$.

Complete the Venn diagram.

Complete the Venn diagram for these students.

Find the probability that they are a child who prefers chocolate.
$P(Child \cap Chocolate)$

Find the probability that the person is an adult given that they prefer neither flavor.
$P(Adult|Neither)$

A girl is selected at random. Find the probability that she takes economics but not history.
$P(E \cap H')$

Find the number of employees who, in the last year, did not travel to work by car, bicycle or public transportation.
$n(Neither)$

Find the probability that Pablo leaves home before 07:00 and is late for work.
$P(before 7 \cap late)$

Find the probability that they are a child who prefers chocolate.
$P(Child \cap Chocolate)$

Find the probability that the person is an adult given that they prefer neither flavor.
$P(Adult|Neither)$

Find the probability that one is a teen who prefers vanilla and the other is a child who prefers neither.
$P(TV \cap CN)$

Find the probability that both prefer chocolate given that they are adults.
$P(Chocolate|Adult)$

A person is selected at random. Find the probability that a child was chosen given that they like to fly kites.
$P(Child|Kites)$

A person is selected at random. Find the probability that the person was an adult and likes to jog.
$P(Adult \cap Jog)$

A girl is selected at random. Find the probability that she takes economics but not history.
$P(E \cap H')$

One of the students who joined the sports club was chosen at random. Find the probability that this student joined only the sports club.
$P(S)$

Find the number of employees who, in the last year, did not travel to work by car, bicycle or public transportation.
$n(Neither)$

Find the probability that exactly one of the selected balls is green.
$P(G)$

Find the probability that both balls selected are the same color.
$P(same color)$

Find the probability that the first ball is white given that the second ball is green.
$P(W|2G)$

Find the probability that Pablo leaves home before 07:00 and is late for work.
$P(before 7 \cap late)$

Find the probability that Pablo is late for work.
$P(late)$

Given that Pablo is late for work, find the probability that he left home before 07:00.
$P(before 7|late)$

Find the probability that one is a teen who prefers vanilla and the other is a child who prefers neither.
$P(TV \cap CN)$

Find the probability that both prefer chocolate given that they are adults.
$P(Chocolate|Adult)$

A person is selected at random. Find the probability that a child was chosen given that they like to fly kites.
$P(Child|Kites)$

A person is selected at random. Find the probability that the person was an adult and likes to jog.
$P(Adult \cap Jog)$

One of the students who joined the sports club was chosen at random. Find the probability that this student joined only the sports club.
$P(S)$

Find the probability that exactly one of the selected balls is green.
$P(G)$

Find the probability that both balls selected are the same color.
$P(same color)$

Find the probability that the first ball is white given that the second ball is green.
$P(W|2G)$

Find the number of students in the school that are taught in Spanish.
$n(S)$

Find the number of students in the school that study Mathematics in English.
$n(M \cap S')$

Find the number of students in the school that study both Biology and Math.
$n(B \cap M)$

Find the probability that this student studies Mathematics.
$P(M)$

Find the probability that this student studies neither Biology nor Mathematics.
$P(B' \cap M')$

Find the probability that this student is taught in Spanish, given that the student studies Biology.
$P(S|B)$

Two students are chosen at random. Find the probability that both students take Biology or Spanish.
$P(B \cup S)$

Find the probability that Pablo is late for work.
$P(late)$

Given that Pablo is late for work, find the probability that he left home before 07:00.
$P(before 7|late)$

Will not have the disease and will test positive.
$P(no disease \cap test positive)$

Will test negative.
$P(test negative)$

Has the disease given that they tested negative.
$P(disease|test negative)$

Find the total number of patients who visited the center during this day.
$U$

Find the number of students in the school that are taught in Spanish.
$n(S)$

Find the number of students in the school that study Mathematics in English.
$n(M \cap S')$

Find the number of students in the school that study both Biology and Math.
$n(B \cap M)$

Find the probability that this student studies Mathematics.
$P(M)$

Find the probability that this student studies neither Biology nor Mathematics.
$P(B' \cap M')$

Find the probability that this student is taught in Spanish, given that the student studies Biology.
$P(S|B)$

Two students are chosen at random. Find the probability that both students take Biology or Spanish.
$P(B \cup S)$

Will not have the disease and will test positive.
$P(no disease \cap test positive)$

Will test negative.
$P(test negative)$

Has the disease given that they tested negative.
$P(disease|test negative)$

Find the total number of patients who visited the center during this day.
$U$