Question

Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr, 1985) and are in table #3.3.10.

Find the five-number summary and interquartile range (IQR) (3points), and draw a box-and-whiskers plot with all the components labeled (3 points). Extra Credit (2points): State the shape of the distribution (1 point), upper and lower fence (2 points), and if there are any outliers (1 point).

16.An experiment is rolling a fair dieand then flipping a fair coin.

a.)State and write out all the points in the sample space.

b.)Find the probability of getting a head.  Make sure you state the event space.

c.)Find the probability of getting a 6 or a head.

d.)Find the probability of getting a 3 and a tail.

Answer 1

16)(a) Sample space = Getting a number between from 1 till 6 on the throw of a die, and then getting a Heads or a Tails on the toss of a coin = {1 H}, {2 H}, {3 H}, {4 H}, {5 H}, {6 H}, {1 T}, {2 T}, {3 T}, {4 T}, {5 T}, {6 T}

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(b) Probability = Favourable Outcomes / total Outcomes

Favourable Outcomes = Getting a Head = {1 H}, {2 H}, {3 H}, {4 H}, {5 H}, {6 H} = 6 outcomes

Total Outcomes = {1 H}, {2 H}, {3 H}, {4 H}, {5 H}, {6 H}, {1 T}, {2 T}, {3 T}, {4 T}, {5 T}, {6 T} = 12

Therefore the required probability = 6 / 12 = 1/2 = 0.5

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(c) P(getting a 6 or a head) P(getting a 6) + P(getting a head) - P(Getting a 6 and a head)

P(getting a head) = 6/12

P(Getting a 6) = {6,H} and {6,T} = 2/12

P(getting a 6 and a Head) = 1/12

Therefore the required probability = 6/12 + 2/12 - 1/12 = 5/12 = 0.4167

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(d) P(Getting a 3 and a Tail) = 1 outcome {3,T}, therefore the required probability = 1/12 = 0.0833

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