Question

7. assume that the percentage of women in the labor force of a large metropolitan area is 40%. a company hires ten workers, two of whom are women. we want to see if this is likely. a. assign the digits, 0 through 9, to represent the men and women in this situation. describe how you will run the simulation using those digits and the random digit table. b. start on line 136 of the random digit table and carry out the simulation with 3 runs. c. what is the expected number of women that should be hired, based on your simulation? d. repeat the 3 runs using line 135 of the random digit table. is the expected number the same? why or why

Answer 1

the expected number of women that should be hired, based on your simulation

It is not the same.  This could be simply a random result.

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

there is a 40% chance of selecting a woman, if a digit is 0-3, it is a woman and if it is 4-9 it is a man.

Row 136.  86051 45093   0, 1, 0, 3 are less than 4, so there are 4 women.

20021 98648    2, 0, 0, 2, 1 are less than 4, so there are 5 women

23900 49375   2, 3, 0, 0, 3 are less than 4, so there are 5 women.

c)  On average, there are $\frac{5+5+4}{3}$ = $\frac{14}{3}$ women

d)  71435 51648  1, 3, 1 are less than 4, so there are 3 women

89675 97778 there are no numbers less than 4, so there are 0 women.

99624 89697  2 is below 4 so there is 1 number less than, so there is 1 woman.

The average number of women is $\frac{3+0+1}{3}$= $\frac{4}{3}$

It is not the same.  This could be simply a random result.

Hence, the probability that you win the million-dollar prize if you purchase a single lottery ticket is 0.

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