The probability histogram in the figure shows the incidence of cancer in women i

Question

The probability histogram in the figure shows the incidence of cancer in women in the United States in 2005. The proportion of female cancer incidence (rounded to 3 decimal places) is given on top of each rectangle in the histogram. p(t) 0.020 0015 0010 0.005 ryears ?1020 30 40 50 60 70 8090 (a) What proportion of females who contracted cancer were between birth and 60 years old? 381 (b) What is the area enclosed by the histogram rectangles when the age is between 30 and 50? 332X Interpret this area as a probability Approximately 15.89 X % of females who contracted cancer were between 30 and 50.

Explanation / Answer

A. Female with cancer between birth to 60

Add up all probabilities from 0 to 60

Get = 0.381

B. Area enclosed by histogram rectangles for age 30 to 50

Add area of 30 to 40 (0.041) and 40 to 50 (0.124)

=0.165 times thickness of each rectangle. Assume each rectangle is 1 unit thick.

C. Since total area of rectangle adds up to 1 and for 30 to 50 it is 0.165

(0.165/1)*100 = 16.5% of females who comtavcon cance were between age 30 to 50

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