# UNCIASSIFIEDW Homework Week 4 (AD.APUS CLE:FNCL110 D00416 APUS CLE:MATH120 DO06X +https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=226299278&tags=autosaveNeed Help?Talk to a TutorRead ItAsk Your TeacherMy Notes18,33 points BBBasicStat8Acc 6.2.023.MI.Suppose approximately 80% of all marketing personnel are extroverts, whereas about 55% of all computer programmers are introverts. (For each answer, enter a number. Round your answers to three decimal places.)(a) At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts?What is the probability that 5 or more are extroverts?What is the probability that all are extroverts?(b) In a group of 5 computer programmers, what is the probability that none are introverts?What is the probability that 3 or more are introverts?What is the probability that all are introverts?Need Help?Talk to a TutorRead ItAsk Your TeackMy Notes-/8.33 points BBBasicStat8Acc 6.3.005.Consider a binomial distribution of 200 trials with expected value 80 and standard deviation of about 6.9. Use the criterion that it is unusual to have data values more than 2.5 standard deviations above the mean or 2.5standard deviations below the mean to answer the following questions.(a) Would it be unusual to have more than 120 successes out of 200 trials? Explain.O Yes. 120 is more than 2.5 standard deviations above the expected value.5:52 PM12/21/2019of

Question
Asked Dec 21, 2019
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How would I find the attached probabilities?

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## Expert Answer

Step 1

It is given that 80% of all marketing personnel are extraverts and 55% of all computer programmers are introverts.

Step 2

There are 80% of all marketing personnel are extraverts and 15 marketing personnel.

The binomial distribution can be used to find the following probabilities:

a).

At a meeting of 15 marketing personnel, then probability that 10 or more are extroverts is calculated below:

Excel formula =1–BINOM.DIST (9,15,0.8,TRUE)

From the above output, the probability that 10 or more are extroverts is 0.938

Step 3

The probability that 5 or more are extroverts is as follows:

Excel formula =1–BINOM.DIST (4,15,0....

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