SOLUTION: Which are likely to be independent events? For those you think are not, suggest reason why. a. Gender of two consecutive babies born in a hospital. b. Car accident rates and the

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Which are likely to be independent events? For those you think are not, suggest reason why. a. Gender of two consecutive babies born in a hospital. b. Car accident rates and the      Log On


   



Question 148287: Which are likely to be independent events? For those you think are not, suggest reason why.
a. Gender of two consecutive babies born in a hospital.
b. Car accident rates and the driver’s gender.
c. Phone call arrival rates at a university admissions office and time of day.

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
Which are likely to be independent events? For those you think are not, suggest reason why.
a. Gender of two consecutive babies born in a hospital.
b. Car accident rates and the driver’s gender.
c. Phone call arrival rates at a university admissions office and time of day.

Two events are independent if the knowledge that 
one has occurred does not make the occurrence of 
the other either more likely or less likely.  

First we'll look at c:

>>...Phone call arrival rates at a university admissions 
office and time of day...<<

The probability of a phone call changes if we are given 
that the time is 6AM. So they are NOT independent.

Now we'll look at b:

>>...Car accident rates and the driver’s gender...<<

The probability of an accident changes if we are given 
that the driver is a young male.  So they are NOT 
independent.


>>...Gender of two consecutive babies born in a hospital...<<

The probability that the second baby is a boy DOES NOT change 
if we are given that the first baby is a girl.  It also does
not change if we are given that the first baby is a boy.

So they ARE independent.  The correct choice is a.

Edwin