Alcohol probabilities. Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that...

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Alcohol probabilities. Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that

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Answer 1

Answer #1

The number of 18-20 year olds out of 13 randomly selectes ones who consumed alcoholic beverages in 2008, is modelled here as:

$X \sim Bin(n = 13, p = 0.697)$

a) The probability here is computed as:
P(X <= 7)

This is computed in EXCEL here as:
=binom.dist(7,13,0.697,TRUE)

0.1716 is the output here.
Therefore 0.1716 is the required probability here.

b) The probability that 8 or more consumed alcoholic beverages is computed here as:
P(X <= 8) = 1 - P(X <= 7) = 1 - 0.1716 = 0.8284

Therefore 0.8284 is the required probability here.

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Answer 2

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