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Biblioteka

Unit 7 Practice/Homework

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Posljednje ažuriranje about 2 hours ago
62 questions
Obavezno
1
Pitanje 1a
1a.

Find P(B).

Obavezno
0
Pitanje 1b
1b.

Are A and B independent?

Obavezno
1
Obavezno
1
Pitanje 5a
5a.

A and B are independent.

Obavezno
1
Pitanje 5b
5b.

A and B are mutually exclusive.

Obavezno
1
Pitanje 6a
6a.

Find the number of teens who prefer vanilla.

Obavezno
1
Pitanje 6b
6b.

Find the probability that they are a child who prefers chocolate.

$P(Child \cap Chocolate)$

Obavezno
1
Pitanje 6c
6c.

Find the probability that the person is an adult given that they prefer neither flavor.

$P(Adult|Neither)$

Two participants are selected at random.

Obavezno
1
Obavezno
1
Obavezno
0
Pitanje 7a
7a.

Complete the table.

Obavezno
1
Obavezno
1
Obavezno
1
Obavezno
1
Pitanje 10a
10a.

Find the value of p.

Obavezno
1
Pitanje 10b
10b.

Find the value of q.

Obavezno
1
Pitanje 10c
10c.

A girl is selected at random. Find the probability that she takes economics but not history.

$P(E \cap H')$

Obavezno
1
Pitanje 12a
12a.

Find the value of x.

Obavezno
1
Pitanje 12b
12b.

Find the value of y.

Obavezno
1
Pitanje 12c
12c.

Find the number of employees who, in the last year, did not travel to work by car, bicycle or public transportation.

$n(Neither)$

Obavezno
1
Obavezno
0
Obavezno
1
Pitanje 15b
15b.

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

Obavezno
1
Obavezno
1
Obavezno
1
Pitanje 1c
1c.

$P(B\cap A')$

Obavezno
1
Pitanje 2a
2a.

Find $P(C \cap D)$

Obavezno
1
Pitanje 2b
2b.

Find $P(C \mid D)$

Obavezno
1
Pitanje 3a
3a.

$P(A \cap B)$

Obavezno
1
Pitanje 3b
3b.

$P(A' \cap B')$

Obavezno
1
Pitanje 4a
4a.

Find $P(X \cup Y)$

Obavezno
0
Pitanje 4b
4b.

Find $P(X|Y)$

Pitanje 6d
6d.

Find the probability that one is a teen who prefers vanilla and the other is a child who prefers neither.

$P(TV \cap CN)$

Pitanje 6e
6e.

Find the probability that both prefer chocolate given that they are adults.

$P(Chocolate|Adult)$

Pitanje 7b
7b.

A person is selected at random. Find the probability that a child was chosen given that they like to fly kites.

$P(Child|Kites)$

Pitanje 7c
7c.

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

Pitanje 7d
7d.

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

Obavezno
0
Pitanje 8a
8a.

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

Obavezno
1
Pitanje 8b
8b.

Find $P(A'|B')$

Obavezno
0
Pitanje 9a
9a.

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

Obavezno
1
Pitanje 9b
9b.

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

Obavezno
1
Pitanje 9c
9c.

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

Obavezno
0
Obavezno
0
Pitanje 11a
11a.

Complete the Venn diagram for these students.

Obavezno
1
Pitanje 11b
11b.

One of the students who joined the sports club was chosen at random. Find the probability that this student joined only the sports club.

$P(S)$

Obavezno
0
Pitanje 11c
11c.

Determine whether the events S and M are independent.

Pitanje 12d
12d.

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

Obavezno
0
Pitanje 13a
13a.

Complete the tree diagram.

Obavezno
1
Pitanje 13b
13b.

Find the probability that exactly one of the selected balls is green.

$P(G)$

Obavezno
1
Pitanje 13c
13c.

Find the probability that both balls selected are the same color.

$P(same color)$

Obavezno
1
Pitanje 13d
13d.

Find the probability that the first ball is white given that the second ball is green.

$P(W|2G)$

Obavezno
1
Obavezno
1
Obavezno
1
Obavezno
1
Obavezno
1
Obavezno
1
Obavezno
1
Obavezno
1
Obavezno
1
Pitanje 15a
15a.

Complete the following tree diagram.

Pitanje 15c
15c.

Find the probability that Pablo is late for work.

$P(late)$

Pitanje 15d
15d.

Given that Pablo is late for work, find the probability that he left home before 07:00.

$P(before 7|late)$

Pitanje 15e
15e.

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

Obavezno
1
Obavezno
0
Obavezno
1
Obavezno
1
Obavezno
1
Obavezno
0
Obavezno
0
Obavezno
1
Pitanje 9d
9d.

Complete the Venn diagram.

Pitanje 14a
14a.

Find the number of students in the school that are taught in Spanish.

$n(S)$

Pitanje 14b
14b.

Find the number of students in the school that study Mathematics in English.

$n(M \cap S')$

Pitanje 14c
14c.

Find the number of students in the school that study both Biology and Math.

$n(B \cap M)$

Pitanje 14d
14d.

Write down $n(S \cap (M \cup B))$.

Pitanje 14e
14e.

Write down $n(B \cap M \cap S')$.

Pitanje 14f
14f.

Find the probability that this student studies Mathematics.

$P(M)$

Pitanje 14g
14g.

Find the probability that this student studies neither Biology nor Mathematics.

$P(B' \cap M')$

Pitanje 14h
14h.

Find the probability that this student is taught in Spanish, given that the student studies Biology.

$P(S|B)$

Pitanje 14i
14i.

Two students are chosen at random. Find the probability that both students take Biology or Spanish.

$P(B \cup S)$

Pitanje 16a
16a.

State the sampling method being used.

Pitanje 16b
16b.

Complete the tree diagram.

Pitanje 16c
16c.

Will not have the disease and will test positive.

$P(no disease \cap test positive)$

Pitanje 16d
16d.

Will test negative.

$P(test negative)$

Pitanje 16e
16e.

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

Pitanje 16f
16f.

The medical center finds the actual number of positive results in their sample is different than predicted by the tree diagram. Explain why this might be the case.

Pitanje 16g
16g.

Draw a Venn diagram to illustrate this information, placing all relevant information on the diagram.

Pitanje 16h
16h.

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

$U$