# Warm-up #5 and Free Response Question

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Warm-up #5 and Free Response Question
5. a. Runner 3 thinks he can run a mile in less than 4.2 minutes in the next race. Is that likely to happen? Explain. b. The distribution of possible team times is approximately normal. What are the mean and standard deviation of this distribution? c. Suppose the team’s best time to date is 18.4 minutes. What is the probability that the team will beat its own best time in the next race?

B (pg 371 and 372 show the rules) 2) E (Law of Larger Numbers) 3) C mean 42 (times ) = 70 new mean variance 9 (1.52) then square root for S.D. 4)C = 4 (1/6) (1/6) - 1 (4/6) = 0.08 5)C = -1000(0.13) (0.24) (0.35) (0.13) Free Response Red is calculator steps do not put calculator steps on the free response. a – binomcdf(10,.1,0) In order for this to be true, donations must be indpendent. b 1 – binomcdf (100, .1,9)

c – binomcdf (100,.1, 15) This is not likely I would increase the number of donations checked to 200 for an 86% chance of finding 16 donations. d geomecdf(0.1,3) Success on 3rd Success on 2nd Success on 1st 2. a. 24 outcomes b. Sample space: {(1, 1) (1, 2) (1, 3) (1,4) (2, 1) … (6, 4)} c. 4/24 = 1/ d.2/24 = 1/12 e. Not disjoint b/c (2,2) is a double and a sum of 4. Not independent P(4 l Doubles) ≠ P(4) f. Not disjoint because (2, 5) is an element in the sample space. Independent

Questions from Ch. 6

Explain when to use binompdf (n, p, k) versus geompdf (p, k)
Explain when to use binompdf (n, p, k) versus geompdf (p, k). Both graphs above display p = 0.1. Explain why and how the graphs are different.

Extra Practice Problem
In a large city, 72% of the people are known to own a cell phone, 38% are known to own a pager, and 29% own both a cell phone and a pager. Create a two-way table before answering 1 – 3. 1) What proportion of people in this large city own either a cell phone or a pager? 2)What is the probability that the 2nd randomly selected person from this city is the first one found that owns a pager? 3) You need to find 3 people that own a cell phone and a pager. On average how many people do you need to randomly select until you find 3?