Question

In: Statistics and Probability

Suppose approximately 75% of all marketing personnel are extroverts, whereas about 65% of all computer programmers...

Suppose approximately 75% of all marketing personnel are extroverts, whereas about 65% 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?

Expert Solution

Let X denotes the number of extrovert marketing personnel in a random sample of 15 marketing personnel.

X ~ Binomial(n = 15, p = 0.75)

The probability mass function of X is

Now,

The probability that 10 or more are extroverts

The probability that 5 or more are extroverts

The probability that all are extroverts

b)

Let Y denotes the number of introvert computer programmers in a random sample of 5 computer programmers.

Y ~ Binomial(n = 5, p = 0.65)

The probability mass function of Y is

The probability that none are introverts

The probability that 3 or more are introverts

The probability that all are introverts

orchestra answered 2 years ago

Suppose approximately 75% of all marketing personnel are extroverts, whereas about 65% of all computer programmers...

Suppose approximately 75% of all marketing personnel are extroverts, whereas about 65% of all computer programmers are introverts. (For each answer, enter a number. Round your answers to three decimal places.) (b) In a group of 4 computer programmers, what is the probability that none are introverts? What is the probability that 2 or more are introverts? What is the probability that all are introverts?

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Suppose approximately 80% of all marketing personnel are extroverts, whereas about 70% of all computer programmers are introverts. (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 4 computer programmers, what is the probability that none are introverts? What is the...

Suppose approximately 80% of all marketing personnel are extroverts, whereas about 70% of all computer programmers...

Suppose approximately 80% of all marketing personnel are extroverts, whereas about 70% 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 4 computer programmers, what is the probability that...

Suppose approximately 80% of all marketing personnel are extroverts, whereas about 60% of all computer programmers...

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Suppose approximately 75% of all marketing personnel are extroverts, whereas about 65% of all computer programmers...

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