In a recent awards ceremony, the age of the winner for best actor was 35 and the age of the winner for best actress was 54. For all best actors, the mean age is 42.1 years and the standard deviation is 6.6 years. For all best actresses, the mean age is 34.3 years and the standard deviation is 10.1 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain.

The actress has the more extreme age because

Step-by-step explanation:

Given

Male Athletes:

Female Athletes

Required

Determine which athlete had more extreme age

To do this, we simply calculate the standard z score using

For the actor:

For the actress:

Comparing both z values;

The actress has the more extreme age because

move it to the other side

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560