Suppose that p(x) is the density function for heights of American men, in inches, and suppose that p(69)=0.22. Think carefully about what the meaning of this mathematical statement is.
(a) Approximately what percent of American men are between 68.7 and 69.3 inches tall?
b) Suppose P(h) is the cumulative distribution function of p. If P(69)=0.5, estimate each of:
P(68.7)=
P(68.4)=
For a I multiplyed .22 by (69.3-68.7)= 13.2%
I don't know what to do for part b though...
1 answer
For part b, you can use the definition of the cumulative distribution function to calculate the values of P(68.7) and P(68.4). The cumulative distribution function is defined as the integral of the density function from negative infinity to the given value. Therefore, P(68.7) = ∫p(x)dx from -∞ to 68.7 and P(68.4) = ∫p(x)dx from -∞ to 68.4.
1 answer