What's MoreIndependent Activity 1A. Determine whether the distribution represents a probability distribution or not.Explain your answer.1178P(X)4.X241P(X)31P(X)0350.250.22О.124. P(1)=0.42, P(2)=0.31, P(3)=0.375. P(1)= 2, P(2)=35P(3)= ?B. Determine whether the following can serve as the probability distribution of arandom variable X.1. P(X)= for x= 1,2,3,...72. Р(X)-for x= 1,2,3,4,5Independent Activity IINumber of GirlsLet X be a random variable giving the number of girls in a randomly selected three-child family. Assuming that boys and girls are equally likely to be selected, illustratethe probability distribution of a random variable X.Independent Activity IIIRolling Two DiceUsing the sample space for rolling two dice, illustrates a probability distribution forthe random variable X representing the sum of the numbers that appear.Independent Activity IVFace MaskJulia is a boutique shop owner in her town. Due to COVID-19 pandemic, wearing aface mask of a person is required for their safety. Since there are limited stocksavailable, she decided to start another business by making a face mask. She startedselling face masks from day 1 to day 10. The data she collected is shown in the tablebelow.Illustrate a probability distribution of a random variable X showing the number offace mask sold per day and its corresponding probabilities.DayNumber of Face Mask (X)252015414151012810151014

Name: What's MoreIndependent Activity 1A. Determine whether the distributio
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Description: What's MoreIndependent Activity 1A. Determine whether the distribution represents a probability distribution or not.Explain your answer.1178P(X)4.X241P(X)31P(X)0350.250.22О.124. P(1)=0.42, P(2)=0.31, P(3)=0.375. P(1)= 2, P(2)=35P(3)= ?B. Determine w

Independent Activity 1: A) The distribution is said to be probability distribution if, 1. PXi≥0,…

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Statistics

Independent Activity 1 A. Determine whether the distribution represents a probability distribution or not. Explain your answer. 1 5 7 8 P(X) 8. 4. 2. 3 6. P(X) 3. 7 0.12 P(X) 0.35 0.25 0.22 4. P(1)=0.42, P(2)=0.31, P(3)=0.37 5. P(1)- , P(2)- P(3)- B. Determine whether the following can serve as the probability distribution of a random variable X. 1. P(X)= for x= 1,2,3,....7 2. P(X)- 2 for x- 1,2,3,4,5 1114

Independent Activity 1 A. Determine whether the distribution represents a probability distribution or not. Explain your answer. 1 5 7 8 P(X) 8. 4. 2. 3 6. P(X) 3. 7 0.12 P(X) 0.35 0.25 0.22 4. P(1)=0.42, P(2)=0.31, P(3)=0.37 5. P(1)- , P(2)- P(3)- B. Determine whether the following can serve as the probability distribution of a random variable X. 1. P(X)= for x= 1,2,3,....7 2. P(X)- 2 for x- 1,2,3,4,5 1114

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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What's More
Independent Activity 1
A. Determine whether the distribution represents a probability distribution or not.
Explain your answer.
1
1
7
8
P(X)
4.
X
2
4
1
P(X)
3
1
P(X)
035
0.25
0.22
О.12
4. P(1)=0.42, P(2)=0.31, P(3)=0.37
5. P(1)= 2, P(2)=
35
P(3)= ?
B. Determine whether the following can serve as the probability distribution of a
random variable X.
1. P(X)= for x= 1,2,3,...7
2. Р(X)-
for x= 1,2,3,4,5
Independent Activity II
Number of Girls
Let X be a random variable giving the number of girls in a randomly selected three-
child family. Assuming that boys and girls are equally likely to be selected, illustrate
the probability distribution of a random variable X.
Independent Activity III
Rolling Two Dice
Using the sample space for rolling two dice, illustrates a probability distribution for
the random variable X representing the sum of the numbers that appear.
Independent Activity IV
Face Mask
Julia is a boutique shop owner in her town. Due to COVID-19 pandemic, wearing a
face mask of a person is required for their safety. Since there are limited stocks
available, she decided to start another business by making a face mask. She started
selling face masks from day 1 to day 10. The data she collected is shown in the table
below.
Illustrate a probability distribution of a random variable X showing the number of
face mask sold per day and its corresponding probabilities.
Day
Number of Face Mask (X)
25
20
15
4
14
15
10
12
8
10
15
10
14

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← Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. child(ren) (Round to one decimal place as needed.) X 0 1 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, the random variable x's number values are not associated with probabilities. OA. O= child(ren) (Round to one decimal place as needed.) OB. The table does not show a probability distribution. 2 3 4 5 D. No, the sum of all the probabilities is not equal to 1. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random…