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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**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**.
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.]
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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