A junior high principal runs a report to determine what ratio of all 100 students take the bus to school or are dropped off by p
arents, based on grade (seventh grade or eight grade). The results are shown in the following probability distribution table.
Grade vs.
Transportation Takes
Bus Parents
Drop off Total
Seventh Grader 0.44 0.12 0.56
Eighth Grader 0.11 0.33 0.44
Total 0.55 0.45 1
What is the probability that a student is in seventh grade, given that he/she is dropped off by parents?
0.27
0.38
0.22
0.73
Grade vs.
Transportation Takes
Bus Parents
Drop off Total
Seventh Grader 0.44 0.12 0.56
Eighth Grader 0.11 0.33 0.44
Total 0.55 0.45 1
What is the probability that a student is in seventh grade, given that he/she is dropped off by parents?
0.27
0.38
0.22
0.73
2 answers:
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Answer:
31.92%
Step-by-step explanation:
We are given;
Population mean; μ = $3.12
Sample mean; x¯ = $3.16
Sample size; n = 10
Standard deviation; σ = $0.27
Z-score formula is; z = (x¯ - μ)/(σ/√n)
z = (3.16 - 3.12)/(0.27/√10)
z = 0.04/(0.08538)
z ≈ 0.47
Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;
P(x¯ > 3.12) = 1 - P(z < 0.47)
From z-table attached P(z < 0.47) = 0.68082
Thus;
P(z > 0.47) = 1 - 0.68082
P(z > 0.47) ≈ 0.3192
This expressed in percentage is 31.92%
The discount is 30%
Step-by-step explanation:
Given
Price of tape = $60
Discount = $18
In order to find the percentage, we will use the percentage formula
Hence,
The discount is 30%
Keywords: Percent, sale
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