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COR 006 Modules 1-6 Performance Task: Probability and Statistics Exercises, Exercises of Mathematics

Mathematics

A series of exercises covering key concepts in probability and statistics, including random variables, probability distributions, z-scores, and normal distribution. It provides a comprehensive assessment of understanding for students studying these topics. The exercises are designed to reinforce learning and test comprehension of fundamental principles.

Typology: Exercises

2023/2024

Available from 02/19/2025

ashley-rayne-cabanig 🇭🇰

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COR 006 Modules 1-6 PERFORMANCE TASK

Name: ___________________________________ Teacher:_________________________

Strand & Section: __________________________

Test I. Multiple Choice

1. A variable whose value is determined by chance is called ____________. *

a) Random variable

b) Qualitative variable

c) Quantitative variable

d) Dependent variable

2. What shape does normal distribution curve has? *

a) half curve

b) round curve

c) bell curve

d) square curve

3. It is a useful area of mathematics that collects, organizes, interprets and analyzes data and you use it every day.

a) Probability

b) Statistics

c) Algebra

d) Discrete Mathematics

4. In tossing 2 coins, let X the random variable be the number of heads in a toss. What is the probability that 2 heads will

appear?

a) 4/4

b) 3/4

c) 2/4

d) 1/4

5. It is a random variable that can assume at most a finite or a countable number of possible values.

a) Discrete

b) Continuous

c) Quantitative

d) Qualitative

6. A coach has 6 players that will join track and field. The random variable that is being studied is X number of players

that will win. The probability function for this variable is shown below. Find the probability that the majority of the

players will win the play

a) 0.72

b) 0.84

c) 0.52

d) 0.28

Partial preview of the text

Download COR 006 Modules 1-6 Performance Task: Probability and Statistics Exercises and more Exercises Mathematics in PDF only on Docsity!

Name: ___________________________________ Teacher:_________________________ Strand & Section: __________________________

Test I. Multiple Choice

A variable whose value is determined by chance is called ____________. * a) Random variable b) Qualitative variable c) Quantitative variable d) Dependent variable
What shape does normal distribution curve has? * a) half curve b) round curve c) bell curve d) square curve
It is a useful area of mathematics that collects, organizes, interprets and analyzes data and you use it every day. a) Probability b) Statistics c) Algebra d) Discrete Mathematics
In tossing 2 coins, let X the random variable be the number of heads in a toss. What is the probability that 2 heads will appear? a) 4/ b) 3/ c) 2/ d) 1/
It is a random variable that can assume at most a finite or a countable number of possible values. a) Discrete b) Continuous c) Quantitative d) Qualitative
A coach has 6 players that will join track and field. The random variable that is being studied is X number of players that will win. The probability function for this variable is shown below. Find the probability that the majority of the players will win the play

a) 0. b) 0. c) 0. d) 0.

A coach has 6 players that will join track and field. The random variable that is being studied is X number of players that will win. The probability function for this variable is shown below. What is the probability that at most 2 will win the play?

a) 0. b) 0. c) 0. d) 0.

Let X be a random variable with the following probability distribution. Find the mean of the discrete random variable.

a) -0. b) -0. c) -0. d) -0.

What is σ^2 (variance) of this given probability distribution *

a) 3. b) 3. c) 3. d) 3.

The grade 11 students are collecting the number of students who are good in Statistics for their research. What type of random variable is being illustrated? a) Concrete b) Discrete c) Continuous d) Massive
The Grade 12 HUMSS students are collecting the total weights for all students in SWU PHINMA. What type of random variable is being shown? a) Concrete b) Discrete c) Continuous d) Massive

Probabilities of Z score

1. x = Write your answers in the nearest 4 decimal places.
  - Given: μ = 60 σ =
- a) z=
- b) z=
- c) z=
- d) z=
1. x =
  - Given: μ = 68 σ = 5.
- a) z=1.
- b) z=1.
- c) z=1.
- d) z=1.
1. x =
  - Given: μ = 93 σ =
- a) z=-2.
- b) z=-2.
- c) z=-2.
- d) z=-2.
1. x =
  - Given: μ = 71 σ = 7.
- a) z=-2.
- b) z=-2.
- c) z = 2.
- d) z=-2.
1. x =
  - Given: μ = 9.25 σ = 2.
- a) z=-0.
- b) z = 0.
- c) z = 0.
- d) z=-0.
1. z= 1. Find the equivalent normal score of the following z - score given its mean and standard deviation.
  - Given: μ = 50 σ =
- a) x=
- b) x=
- c) x=
- d) x=
1. z= 0.
  - Given: μ = 68.2 σ = 10.
- a) x=72.
- b) x=72.
- c) x=72.
- d) x=72.
1. z= -1.
  - Given: μ = 14.9 σ = 4.
- a) x=9.
- b) x=9.
- c) x=9.
- d) x=9.
1. z= 0.
  - Given: μ = 5.2 σ = 2.
- a) x=6.
- b) x=6.
- c) x=6.
- d) x=6.
1. z= 0.
  - Given: μ = 77 σ =
- a) x=
- b) x=
- c) x=
- d) x=
1. to the left of z=1. A. Find the area under the standard normal curve to the:
- a) 0.
- b) 0.
- c) 0.
- d) 0.
1. to the left of z=-0.
- a) 0.
- b) 0.
- c) 0.
- d) 0.
1. to the left of z=3.
- a) 0.
- b) 0.
- c) 0.
- d) 0.
1. to the left of z=3.
- a) 0.
- b) 0.
- c) 0.
- d) 0.
1. to the left of z=1.
- a) 0.
- b) 0.
- c) 0.
- d) 0.
1. to the right of z=1.
- a) 0.
- b) 0.
- c) 0.
- d) 0.
1. to the right of z=-2.
- a) 0.
- b) 0.
- c) 0.
- d) 0.
1. to the right of z=0.
- a) 0.
- b) 0.
- c) 0.
- d) 0.
- a) 0. 30. to the right of z=-0.8 *
- b) 0.
- c) 0.
- d) 0.
- a) 0. 31. to the right of z=1.89 *
- b) 0.
- c) 0.
- d) 0.
- a) 0. 32. in between z=-1.62 and z=1.62 *
- b) 0.
- c) 0.
- d) 0.
- a) 0. 33. in between z=-0.5 to z=1.8 *
- b) 0.
- c) 0.
- d) 0.
- a) 0. 34. in between z = -2.58 and z = 1.92 *
- b) 0.
- c) 0.
- d) 0.

COR 006 Modules 1-6 Performance Task: Probability and Statistics Exercises, Exercises of Mathematics

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