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1. Twenty runners are in a cross - country race. Seven are from your home state.

ID: 3359156 • Letter: 1

Question

1. Twenty runners are in a cross - country race. Seven are from your home state. What is the probability that 3 runners from your home state finish 1st, 2nd, and 3rd? 24 .

2. From a group of 8 men and 9 women how many groups can be formed with 3 women and 2 men?

3.  In another series of random numbers: 5, 8, 19, 67, 43, 10, 9, 11, 1 If these numbers were an exhaustive list of outcomes and they had a uniform probability distribution which would you bet on?

4. Using the Standard Normal Distribution , What is the Cumulati ve area left of a z - score of .56 ? To the right?

5. Assume normally distributed data . Some survey data suggests that people are using their tablets of 2.0 years on average before upgrading to a new one. If the standard deviation of the data is .59 year s and a user is selected randomly - f ind the probability that the user will use their tablet device for less than 0.8 year s be fore upgrading

Explanation / Answer

1. Twenty runners are in a cross - country race. Seven are from your home state. What is the probability that 3 runners from your home state finish 1st, 2nd, and 3rd? .

Favourable outcomes = C(7,3)

Total outcomes = C(20,3)

P = C(7,3)/C(20,3) = 35/1140 = 3.07%

PS: We are directed to solve only 1st question if multiple questions are posted