Athirty year old women decides to pay $390 for a one-year life insurance policy with coverage of $150,000. the probability of her living through the year is 0.9976. what is her expected value for the insurance policy?

The expected value is −390(0.9976) + (150,000 − 390)( 1 − 0.9976) = −$30

-$30 is your answer.

practice. practice. practice.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.