Independent Practice A. Directions: Classify the following random variables as discrete or continuous. Write D for discrete and C for continuous. 1. The number of correct answer in a 25-item question test. 2. The weight of grains in kilograms produced per hectare. 3. The number of vehicular accident each year in Santa Rosa. 4. The number of eggs laid each year by 1 hen. 5. The length of time to play Mobile Legends. B. Directions: Solve the following problems related to probability functions. 1. A coach has 6 players that will join track and field. The random variable that is being studied is X, the number of players that will win. The probability function for this variable is shown in the table below. 6 1 2 4 5 0.02 f(x)=P[X=x] 0.40 0.24 0.19 0.1 0.05 Find the probability that majority of the players will win the play? Answer: 2. A monitoring team was tasked to track the COVID patients in one municipality. All health workers were asked about the number of patients they were monitoring which will serve as random variable X. The table below shows the probability distribution for random variable X. 4 1 2 3 0.005 f(x)=P[X=x] 0.850 0.120 0.015 0.010 Find the probability of selecting to interview a health worker who handles at most 2 patients. Answer:

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A. Directions: Classify the following random variables as discrete or continuous. Write D for
discrete and C for continuous.
1. The number of students in Santa Rosa National High School.
2. The weight of your mother.
3. The time it takes to finish one worksheet in Statistics & Probability.
4. The number of your siblings.
D.
B. Directions: Solve the following problem related to probability function.
An investor has five stocks that she follows each day. The random variable being studied is X, the
number of stocks that increases in value each day. The probability function for this variable is shown
below.
2
3
4
f(x)=P[X=x]
О.34
.30
.20
.10
.05
.01
Find the probability that on a given day, majority of the stocks will increase in value.
Solution:
Majority of the stocks means at least of the stocks will increase in value. Hence, we need to find P[x23].
P[x > 3] = P[x = 3] + P[x = 4] + P[x = 5]
= f (3) + f(4) + f(5) = 0.10 + 0.05 + 0.01 = 0.16
Therefore, the probability that majority of the stocks will increase in value is 0.16.
Independent Practice
A. Directions: Classify the following random variables as discrete or continuous. Write D for
discrete and C for continuous.
1. The number of correct answer in a 25-item question test.
2. The weight of grains in kilograms produced per hectare.
3. The number of vehicular accident each year in Santa Rosa.
4. The number of eggs laid each year by 1 hen.
5. The length of time to play Mobile Legends.
B. Directions: Solve the following problems related to probability functions.
1. A coach has 6 players that will join track and field. The random variable that is being studied
is X, the number of players that will win. The probability function for this variable is shown in
the table below.
6.
1
2
3
4
0.02
f(x)=P[X=x]
0.40
0.24
0.19
0.1
0.05
Find the probability that majority of the players will win the play? Answer:
2. A monitoring team was tasked to track the COVID patients in one municipality. All health
workers were asked about the number of patients they were monitoring which will serve as
random variable X. The table below shows the probability distribution for random variable X.
4
1
3
0.005
f(x)=P[X=x]
0.850
0.120
0.015
0.010
Find the probability of selecting to interview a health worker who handles at most 2 patients.
Answer:
Transcribed Image Text:9:18 worksheets with graphics - Saved A. Directions: Classify the following random variables as discrete or continuous. Write D for discrete and C for continuous. 1. The number of students in Santa Rosa National High School. 2. The weight of your mother. 3. The time it takes to finish one worksheet in Statistics & Probability. 4. The number of your siblings. D. B. Directions: Solve the following problem related to probability function. An investor has five stocks that she follows each day. The random variable being studied is X, the number of stocks that increases in value each day. The probability function for this variable is shown below. 2 3 4 f(x)=P[X=x] О.34 .30 .20 .10 .05 .01 Find the probability that on a given day, majority of the stocks will increase in value. Solution: Majority of the stocks means at least of the stocks will increase in value. Hence, we need to find P[x23]. P[x > 3] = P[x = 3] + P[x = 4] + P[x = 5] = f (3) + f(4) + f(5) = 0.10 + 0.05 + 0.01 = 0.16 Therefore, the probability that majority of the stocks will increase in value is 0.16. Independent Practice A. Directions: Classify the following random variables as discrete or continuous. Write D for discrete and C for continuous. 1. The number of correct answer in a 25-item question test. 2. The weight of grains in kilograms produced per hectare. 3. The number of vehicular accident each year in Santa Rosa. 4. The number of eggs laid each year by 1 hen. 5. The length of time to play Mobile Legends. B. Directions: Solve the following problems related to probability functions. 1. A coach has 6 players that will join track and field. The random variable that is being studied is X, the number of players that will win. The probability function for this variable is shown in the table below. 6. 1 2 3 4 0.02 f(x)=P[X=x] 0.40 0.24 0.19 0.1 0.05 Find the probability that majority of the players will win the play? Answer: 2. A monitoring team was tasked to track the COVID patients in one municipality. All health workers were asked about the number of patients they were monitoring which will serve as random variable X. The table below shows the probability distribution for random variable X. 4 1 3 0.005 f(x)=P[X=x] 0.850 0.120 0.015 0.010 Find the probability of selecting to interview a health worker who handles at most 2 patients. Answer:
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