Review the definition and examples of a binomial probability distribution.  Review Ti-84 tools for binomial probability distributions.   A company finds that an average of 20% of all new employees resign during the first year. What is the probability exactly 6 of the next 30 employees hired, resign during the first year. What is the probability less than 6 of the next 30 employees hired, resign during the first year. What is the probability at least 8 of the next 30 employees hired, resign during the first ye

MATLAB: An Introduction with Applications
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Review the definition and examples of a binomial probability distribution.  Review Ti-84 tools for binomial probability distributions.   A company finds that an average of 20% of all new employees resign during the first year.

  1. What is the probability exactly 6 of the next 30 employees hired, resign during the first year.
  2. What is the probability less than 6 of the next 30 employees hired, resign during the first year.
  3. What is the probability at least 8 of the next 30 employees hired, resign during the first year.
Expert Solution
Step 1

(1)

 

Obtain the probability exactly 6 of the next 30 employees hired, resign during the first year.

 

The probability exactly 6 of the next 30 employees hired, resign during the first year is obtained below as follows:

 

Let X denotes the number of employees resign during the first year which follows binomial distribution with the probability of success 0.20 and random sample of 30 employees has been selected. That is, n=30,p=0.20

 

The required probability is,

 

Use TI-84 Calculator to obtain the probability value.

 

  • Follows the below instructions to obtain the Press 2nd>DISTR
  • Select binompdf
  • Enter the trails as 30
  • Enter the probability of success as 0.20
  • Enter the number of success as 6.
  • Click Enter.

 

From the TI-84 calculator, the probability value is 0.1795.

 

The probability exactly 6 of the next 30 employees hired, resign during the first year is 0.1795.

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