1) Determine the probability of a random applicant getting automatically rejected. 2) If 6 applicants submit resumes, what are the chances that fewer than half will fail the screening test?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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Chapter1: Starting With Matlab
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The personnel department of a large corporation gives two aptitude tests to job applicants. One measures verbal ability; the other, quantitative ability. From many years' experience, the company has found that the verbal scores (V) tend to be normally distributed with a mean of 50 and a standard deviation of 10. The quantitative scores (Q) are normally distributed with a mean of 100 and a standard deviation of 20, and they appear to be independent of the verbal scores. A composite score, C, is assigned to each applicant, where C=3V+2Q. Applicants whose composite scores are below 375 are automatically rejected. 

1) Determine the probability of a random applicant getting automatically rejected.
2) If 6 applicants submit resumes, what are the chances that fewer than half will fail the screening test?

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