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The following pie chart shows the ethnic makeup of schools in a state for the 20

ID: 3370526 • Letter: T

Question

The following pie chart shows the ethnic makeup of schools in a state for the 2006–2007 academic year, where

a = 7%,

b = 5%,

c = 7%,

d = 48%,

and

e = 33%.

Write down the probability distribution showing the probability that a randomly selected student in 2006–2007 belonged to one of the ethnic groups named.

What is the probability that a student is neither white nor Asian?

Outcome Probability Hispanic or Latino ? White (not Hispanic) ? African American ? Asian ? Other ? African Other American Asian bC White (not Hispanic) Hispanic or Latino

Explanation / Answer

Solution:

a = asian = 7%,

b = other = 5%,

c = african american = 7%,

d = hispanic or latino = 48%,

e = white ( not hispanic ) = 33%.

probability that a student is white or asian = 0.33+0.07 = 0.4

probability that a student is neither white nor asian = 1 - probability that a student is white or asian

= 1 - 0.4

= 0.6

outcome probability hispanic or latino 0.48 white( not ispanic) 0.33 african american 0.07 asian 0.07 other 0.05