The number of cellular phones sold per day at the E-Cell Retail Store with the corresponding probabilities is shown in the table below. Compute the mean, variance, and standard deviation and interpret the result. co_Q3_Statistics and Probability SHS Module 8 7 Number of cellphones sold per day in a retail store (x) 15 18 19 20 22 Probability (P(x) 0.30 0.20 0.20 0.15 0.15 Solution: Complete the statement: Hx => [x · P(x)] = 15(0,30) + 18(0.20) + 19(0.20) + 20(0.15) + 22(0.15) = The mean is equal to cellular phones of sold per day is To find the variance complete the table below: therefore, it means that the average number of x•P(x) x² x2 - P(x) P(x) 0.30 15 4.5 18 0.20 3.6 19 0.20 3.8 20 22 0.15 3 0.15 3.3 >Ir? - P(x)] =. a2 = [x² . P(x)] – u² = o = Vo? = Therefore, the variance of a probability distribution is equal to the standard deviation is equal to while Independent Activity 1 Beth's Bread and Pastry Shop determines the number of cupcakes sold per day with its corresponding probabilities. Find the mean, variance, and standard deviation of the probability distribution below. If Beth, the owner of the shop is claiming that the average number of cupcakes sold in a day is 150 pieces, do you think it is a believable claim? Number of cupcakes sold per day (x) Probability P(x) 90 120 135 150 160 175 0.15 0.10 0.20 0.20 0.20 0.15 Practice Activity 2 Analyze the following pairs of data and identify which of the following will most likely yield to a higher variance and higher standard deviation. Put a check / mark on the appropriate box. 1. ONumber of students from different grade levels. Number of boys in a family with three children. 2. Number of fish inside the aquarium from different households. ONumber of fish inside a can from the different local brands of sardines. Number of COVID-19 patients from different hospitals. 3.
The number of cellular phones sold per day at the E-Cell Retail Store with the corresponding probabilities is shown in the table below. Compute the mean, variance, and standard deviation and interpret the result. co_Q3_Statistics and Probability SHS Module 8 7 Number of cellphones sold per day in a retail store (x) 15 18 19 20 22 Probability (P(x) 0.30 0.20 0.20 0.15 0.15 Solution: Complete the statement: Hx => [x · P(x)] = 15(0,30) + 18(0.20) + 19(0.20) + 20(0.15) + 22(0.15) = The mean is equal to cellular phones of sold per day is To find the variance complete the table below: therefore, it means that the average number of x•P(x) x² x2 - P(x) P(x) 0.30 15 4.5 18 0.20 3.6 19 0.20 3.8 20 22 0.15 3 0.15 3.3 >Ir? - P(x)] =. a2 = [x² . P(x)] – u² = o = Vo? = Therefore, the variance of a probability distribution is equal to the standard deviation is equal to while Independent Activity 1 Beth's Bread and Pastry Shop determines the number of cupcakes sold per day with its corresponding probabilities. Find the mean, variance, and standard deviation of the probability distribution below. If Beth, the owner of the shop is claiming that the average number of cupcakes sold in a day is 150 pieces, do you think it is a believable claim? Number of cupcakes sold per day (x) Probability P(x) 90 120 135 150 160 175 0.15 0.10 0.20 0.20 0.20 0.15 Practice Activity 2 Analyze the following pairs of data and identify which of the following will most likely yield to a higher variance and higher standard deviation. Put a check / mark on the appropriate box. 1. ONumber of students from different grade levels. Number of boys in a family with three children. 2. Number of fish inside the aquarium from different households. ONumber of fish inside a can from the different local brands of sardines. Number of COVID-19 patients from different hospitals. 3.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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![The number of cellular phones sold per day at the E-Cell Retail Store with the
corresponding probabilities is shown in the table below. Compute the mean,
variance, and standard deviation and interpret the result.
7
co_Q3_Statistics and Probability SHS
Module 8
Number of cellphones sold
per day in a retail store (x)
15
18
19
20
22
Probability (P(x)
0.15
0.15
0.30
0.20
0.20
Solution:
Complete the statement:
Hx = ,
: Ix; · P(x)] = 15(0,30) + 18(0.20) + 19(0.20) + 20(0.15) + 22(0.15) =
The mean is equal to
cellular phones of sold per day is
To find the variance complete the table below:
therefore, it means that the average number of
P(x)
x: P(x)
x2
x2 · P(x)
15
0.30
4.5
18
0.20
3.6
19
0.20
0.15
3.8
20
3
22
0.15
3.3
Zix? - P(x)] =
o² = lx² - P(x)] – u² =
Therefore, the variance of a probability distribution is equal to
the standard deviation is equal to
while
Independent Activity 1
Beth's Bread and Pastry Shop determines the number of cupcakes sold per day with
its corresponding probabilities. Find the mean, variance, and standard deviation of
the probability distribution below. If Beth, the owner of the shop is claiming that the
average number of cupcakes sold in a day is 150 pieces, do you think it is a believable
claim?
Number of cupcakes
sold per day (x)
Probability P(x)
90
120
135
150
160
175
0.15
0.10
0.20
0.20
0.20
0.15
Practice Activity 2
Analyze the following pairs of data and identify which of the following will most likely
yield to a higher variance and higher standard deviation. Put a check /mark on the
appropriate box.
1. O Number of students from different grade levels.
| Number of boys in a family with three children.
2. U Number of fish inside the aquarium from different households.
ONumber of fish inside a can from the different local brands of sardines.
Number of COVID-19 patients from different hospitals.
3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F379eb9cf-ea96-46d6-9903-e60f75a8ff3f%2Fa33a473e-e1c2-4348-ba41-3140d64b7eec%2Fhw9bl3b_processed.png&w=3840&q=75)
Transcribed Image Text:The number of cellular phones sold per day at the E-Cell Retail Store with the
corresponding probabilities is shown in the table below. Compute the mean,
variance, and standard deviation and interpret the result.
7
co_Q3_Statistics and Probability SHS
Module 8
Number of cellphones sold
per day in a retail store (x)
15
18
19
20
22
Probability (P(x)
0.15
0.15
0.30
0.20
0.20
Solution:
Complete the statement:
Hx = ,
: Ix; · P(x)] = 15(0,30) + 18(0.20) + 19(0.20) + 20(0.15) + 22(0.15) =
The mean is equal to
cellular phones of sold per day is
To find the variance complete the table below:
therefore, it means that the average number of
P(x)
x: P(x)
x2
x2 · P(x)
15
0.30
4.5
18
0.20
3.6
19
0.20
0.15
3.8
20
3
22
0.15
3.3
Zix? - P(x)] =
o² = lx² - P(x)] – u² =
Therefore, the variance of a probability distribution is equal to
the standard deviation is equal to
while
Independent Activity 1
Beth's Bread and Pastry Shop determines the number of cupcakes sold per day with
its corresponding probabilities. Find the mean, variance, and standard deviation of
the probability distribution below. If Beth, the owner of the shop is claiming that the
average number of cupcakes sold in a day is 150 pieces, do you think it is a believable
claim?
Number of cupcakes
sold per day (x)
Probability P(x)
90
120
135
150
160
175
0.15
0.10
0.20
0.20
0.20
0.15
Practice Activity 2
Analyze the following pairs of data and identify which of the following will most likely
yield to a higher variance and higher standard deviation. Put a check /mark on the
appropriate box.
1. O Number of students from different grade levels.
| Number of boys in a family with three children.
2. U Number of fish inside the aquarium from different households.
ONumber of fish inside a can from the different local brands of sardines.
Number of COVID-19 patients from different hospitals.
3.
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