Consider the two univariate PDFs f 1 (x) = 1–|x|, for |x| 1; and f 2 (x) = 1–|x–.5|, for –.5  x  1.5. a. Sketch the two PDFs. b. Identify the classification regions when p 1 = p 2 and C(1|2) = C(2|1)....

Consider the two univariate PDFs f₁(x) = 1–|x|, for |x|1; and f₂(x) = 1–|x–.5|, for –.5
 x
 1.5.

a. Sketch the two PDFs.

b. Identify the classification regions when p₁
= p₂
and C(1|2) = C(2|1).

c. Identify the classification regions when p₁
= 0.2 and C(1|2) = C(2|1).

Average July temperature and precipitation at Ithaca, New York, are 68.6F and 3.54 in.

a. Classify Ithaca as belonging to one of the three groups in Example 14.2.

b. Calculate probabilities that Ithaca is a member of each of the three groups, assuming bivariate normal distributions with common covariance matrix.