Create a tree diagram to show the total number of outfits, each needing socks, pants and shirts. b. Calculate the total number of outcomes using the fundamental (multiplicative) counting principle
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Talia has just purchased some new clothing items and wants to determine how many different outfits she can make by mixing and matching these new pieces. She has:
2 pairs of socks (grey, black)
4 pairs of pants (jeans, dark blue, plaid, striped)
2 shirts (green, white)
a. Create a tree diagram to show the total number of outfits, each needing socks, pants and shirts.
b. Calculate the total number of outcomes using the fundamental (multiplicative) counting principle.
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- Latoya has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Latoya has recorded the travel times for samples of nine trips via the 10 Freeway and nine trips via the 60 Freeway. The following table gives the travel times (in minutes) for the eighteen trips. Travel times in minutes 10 Freeway 71, 70, 69, 67, 71, 67, 70, 71, 77 60 Freeway 76, 74, 78, 78, 68, 73, 75, 72, 72 Send data to calculator Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean travel time via the 10 freeway, is different from μ2, the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round…2. The college's soccer team will play II games next fall. Each game can result in one of three outcomes: a win, a loss, or a tie. Find the total possible number of outcomes for the season record.
