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# catalyst data

According to Catalyst, a New York based women's advocacy and research group, 12% of all corporate officer's at the 500 largest U.S. corporations in 1999 were women, compared to 8% in 1995.

a.) According to catalyst data, in sample of 1,000 corporate officer's at the 500 largest U.S. firms, how many would you expect to be women?
b.) If eight corporate officer's were randomly selected from the 500 largest U.S. firms what is the probability that none would be women? That half would be
c.) What assumptions did you have to make in order to answer part b using the binomial distribution?

Council For a Drug Free Workplace concluded that 70 % of New Jersey's business have employees whose performance is affected by drugs and or alcohol. In those business 'it was estimated that 8.5% of their workforces have alcohol problems and 5.2% have drug problems. These last two numbers are slightly lower than the national statistics of 10% and 7%, respectively.
a.) In a New Jersey company that acknowledges it has performance problems caused by substance abuse, out of every 1000 employees, approximately how many have drug problems?
b.) If 10 employees are randomly selected to form a committee to address alcohol abuse problems, what is the probability that at least one member of the committee is an alcohol abuser? That exactly two are alcohol abusers?
c.) What assumptions did you have to make in order to answer part b using the methodology of this section?

#### Solution Preview

According to Catalyst, a New York based women's advocacy and research group, 12% of all corporate officer's at the 500 largest U.S. corporations in 1999 were women, compared to 8% in 1995.

a.) According to catalyst data, in sample of 1,000 corporate officer's at the 500 largest U.S. firms, how many would you expect to be women?

Expected Value = % x sample size = 12% x 1000 = 120 women

b.) If eight corporate officer's were randomly selected from the 500 largest U.S. firms what is the probability that none would be women? That half ...

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