An insurance company charges Ted E. Bear $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?

$900  

Step-by-step explanation:

The given parameters are;

The amount Ted pays per year for insurance on his home = $1,400

The value of the insurance policy = $5000

The chance that Ted will make a claim on the policy = 10%

The expected value is given as follows

Incidence                     Probability(p)        Value(v)                                   v × p

A claim is made            0.1                  $5,000 - $1,400 = -$3,600     -$360

No claim                        0.9                 $1,400                                       $1260

Expected value is $1,260 - $360 = $900

The value the insurance company can be expected to make on average on the policy is $900    

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3