# catalyst data According to Catalyst, a New York based women’s advocacy and research group, 12% of al

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 US
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
US firms, how many would you expect to be women?

b) If eight
corporate officer’s were randomly selected from the 500 largest US 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 85% of their workforces have
alcohol problems and 52% 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?