All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be
proficient in reading, 78% were found to be proficient in mathematics, and 65% were found to be proficient in both reading and mathematics. A student is chosen at random. a. What is the probability that the student is proficient in mathematics but not in reading? b. What is the probability that the student is proficient in reading but not in mathematics? c. What is the probability that the student is proficient in neither reading nor mathematics?
1 answer:
Answer:
a. 13%
b. 20%
c. 2%
Step-by-step explanation:
To tackle this problem effectively, drawing a Venn diagram is recommended. Create a rectangle representing all fourth-graders, and include two overlapping circles within it. One circle should indicate reading proficiency, occupying 85% of the total area (including the overlap), while the other represents math proficiency, covering 78% of the area (including overlap). The intersection accounts for 65% of the total.
a. Given that 65% is the overlap and 78% are proficient in math, the percentage of students proficient in math but not in reading is calculated by:
78% − 65% = 13%
b. Since the overlap is 65% and 85% are proficient in reading, the percentage proficient in reading but not math is obtained by:
85% − 65% = 20%
c. To find the percentage of students who are not proficient in either reading or math, subtract the percentages of those proficient in only reading, only math, and both from 100%:
100% − 20% − 13% − 65% = 2%
Refer to the diagram provided (not to scale).
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Step-by-step explanation:
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118.2°
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Question 13:
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Thus, the response is 8 microseconds solely for the age groups y=1 and y=1.3.
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