Tema
Q:
5. A sample of adults revealed that approximately \( 68 \% \) own their own home. In this same
sample, \( 52 \% \) had completed some form of education after high school. Finally, \( 44 \% \) of
respondents completed some form of post-high school education and owned their own home.
Given that the respondent has completed some post high school education, what is the
probability that they are a homeowner?
Q:
4. A survey at a large high school reveals that \( 59 \% \) of students are studying a language other
than English. Currently, \( 6 \% \) of the students who study another language are studying
Mandarin. Given that a student is studying a language other than English, what is the
probability they are studying Mandarin?
Q:
g. Una urna contiene 10 bolitas. De ellas, 7 son de color blanco y 3 son negras. Si se, realiza dos
veces el experimento aleatorio de extraer una bolita:
¿Cuál es la probabilidad de que en ambas extracciones se obtenga una bolita negra,
sabiendo que las extracciones fueron con devolución?
Q:
Given that A and B are mutually exclusive events. The probability that
event A occurs is 0,55 . The probability that event B does not occur
is 0,7 .
Calculate \( \mathrm{P}(\mathrm{A} \) or B\( ) \).
Q:
65358 - Guerrero, Faustino B - Math Models - Semester A / Unit 2 - Geometry, Probability and
6. Find the probability.
If you roll a die twice, what is the probability of getting a number greater than 3 on both rolls?
Q:
65358 - Guerrero, Faustino B - Math Models - Semester A / Unit 2 - Geometry, Probe
3. Find the probability.
A six-sided die is rolled. What is the probability of rolling a two or a five?
Q:
8.1 In a random physical sciences experiment, A and B are two different events. It was
found that:
\( \mathrm{P}(\mathrm{A})=\frac{2}{5}, \mathrm{P}\left(\mathrm{B}^{\prime}\right)=\frac{3}{8} \) and \( \mathrm{P}(\mathrm{A} \) or B\( )=\frac{5}{7} \)
\( 8.1 .1 \quad \begin{array}{l}\text { Calculate: } \\ \\ \text { (a) } \mathrm{P}(\mathrm{B}) \\ \text { (b) } \mathrm{P}(\mathrm{A} \text { and } \mathrm{B})\end{array} \)
\( \begin{array}{l}\text { Hence, determine whether events } \mathrm{A} \text { and } \mathrm{B} \text { are mutually exclusive. Motivate } \\ \text { your answer. }\end{array} \)
Q:
7.2 A survey was conducted among 150 learners in Grade 10 at a certain school to establish
how many of them owned the following devices: smartphone (S) or tablet (T).
The results were as follows:
- 8 learners did not own either a smartphone or a tablet.
20 learners owned both a smartphone and a tablet.
- \( x \) learners owned a tablet.
\( 7.2 .1 \quad \) Represent the information above in a Venn diagram.
\( 7.2 .2 \quad \) How many learners owned only a smartphone?
\( 7.2 .3 \quad \) Calculate the probability that a learner selected at random from this group:
(a) Owned only a smartphone
(b) Owned at most one type of device
Q:
QuESTION 7.1 Two events, A and B , are complementary and make up the entire sample space.
Also, \( \mathrm{P}\left(\mathrm{A}^{\prime}\right)=0,35 \).
\( 7.1 .1 \quad \) Complete the statement: \( \mathrm{P}(\mathrm{A})+\mathrm{P}(\mathrm{B})=\ldots \)
\( 7.1 .2 \quad \) Write down the value of \( \mathrm{P}(\mathrm{A} \) and B\( ) \).
\( 7.1 .3 \quad \) Write down the value of \( \mathrm{P}(\mathrm{B}) \).
Q:
If the area to the left of \( x \) in a normal distribution is 0.692, what is the area to the right of \( x \) ?
If the area to the right of \( x \) in a normal distribution is 0.692, what is the area to the left of \( x \) ?
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