Question

3. Analyzing a binomial experiment using a tree diagram a Aa Data from the U.S. Bureau of Labor Statistics shaw a steady decline in the average workweek af U.S. productian workers trom 38.5 hours in 1964 to 33.9 hours in 2006 But employees are spending time working when they are at hame and behind the wheel. In z pall conducted for Staples, 49% of small-business managers in the United States reported that they make business cals or check e-mall whle driving. [Source: Lisa Belkin, "Time Wasted? Perhaps It's Well Spent, The New Yark Times, May 31, 2007.1 Consider the experiment of randamiy selecting four small-business managers and learning whether they make business calls ar check e-mail while driving Let Cmakes business calls ar checks e-mail while driving, and Ndoes not make business calis ar check e mail while driving The experiment sat isfies the properties of a binamial experiment. The fallowing tree diagram will hep you visualize the sample space for this experiment First Trla Secund Trial Third Irid Fourth Irial (C, C, C, C IC, G, C, N) 51 C.N.GC (C, N, C, N} (C, N, N, C C, N. N, N IN, C, CC) IN, C, G, N) (04, C, N, C) IN, N, G, C) N, N, N C First, define a success. In this case, define the selectian af a manager who makes business calls ar checks e-mail while driving as a success, Of the three successes possible expermental outcomes, outoomes resut in exactly All af the sample points with three successes have the same probablity of accurrence. What is this prabab ty? O 0.0600 O 0.06sD O 0.0625 O 0.1176 The probability that exactly thnee managers makr business calls ar check e-mail while driving is

Answer 1