Find the probability that more than 33% of the freshmen in the sample of 140 are planning to major in a STEM discipline. The probability that more than 33% of the freshmen in the sample of 140 are planning to major in a STEM discipline is
Find the probability that more than 33% of the freshmen in the sample of 140 are planning to major in a STEM discipline. The probability that more than 33% of the freshmen in the sample of 140 are planning to major in a STEM discipline is
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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
Transcribed Image Text:**Future Scientists:**
Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 26% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 85 freshmen is selected. Round the answer to at least four decimal places.
**Part 1 of 6**
Is it appropriate to use the normal approximation to find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline?
It is appropriate to use the normal curve, since \( np = 22.1 \geq 10 \) and \( n(1 - p) = 62.9 \geq 10 \).
**Part 2 of 6**
Find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline.
The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline is **0.6628**.
![**Part 5 of 6**
Find the probability that more than 33% of the freshmen in the sample of 140 are planning to major in a STEM discipline.
The probability that more than 33% of the freshmen in the sample of 140 are planning to major in a STEM discipline is [ ].
[Note: There is a text box for input with a 'clear' and 'reset' button next to it.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4782f07-757c-4c6f-bd38-0f7d65dab64c%2F0c1c42d3-559f-47e2-86dc-b730a4b138a2%2Fg521dxo_processed.png&w=3840&q=75)
Transcribed Image Text:**Part 5 of 6**
Find the probability that more than 33% of the freshmen in the sample of 140 are planning to major in a STEM discipline.
The probability that more than 33% of the freshmen in the sample of 140 are planning to major in a STEM discipline is [ ].
[Note: There is a text box for input with a 'clear' and 'reset' button next to it.]
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