Suppose that an insurance company classifies people into one of three classes — good risks, average risks, and bad risks. their records indicate that the probabilities that good, average, and bad risk persons will be involved in an accident over a 1-year span are, respectively, .05, .15, and .30. if 20 percent of the population are "good risks," 50 percent are "average risks," and 30 percent are "bad risks," what proportion of people have accidents in a fixed year? if policy holder a had no accidents in 1987, what is the probability that he or she is a good (average) risk?

Our required probability is 0.745.

Step-by-step explanation:

Since we have given that

Probability of getting good risks people = 0.05

Probability of getting average risks people = 0.15

Probability of getting bad risks people = 0.30

Probability of getting good risk accident = 0.2

Probability of getting average risk accident = 0.5

Probability of getting bad risk accident = 0.3

So, Probability of people having accident in a year is given by

Probability of people either good or average risk given that he\she had no accident is given by

Hence, our required probability is 0.745.

The correct options are 1 and 4.

Step-by-step explanation:

The given function is

Add and subtract in the parentheses

....(1)

The vertex form of the parabola is  . Option 2 is incorrect.

The general vertex form of a parabola is

....(2)

Where, (h,k) is the vertex of the parabola.

On comparing (1) and (2) we get

Therefore the vertex of the function is (-10,-117).  Option 1 is correct.

It is upward parabola, so the minimum value of the function is -117. Option 3 is incorrect.

The vertex of the function f(x)=x² is (0,0) and the vertex of h(x) is (-10,-117).

It means the f(x) shifts left by 10 units and down 117 units. Option 4 is correct.

The axis of symmetry of the function is x=h.

So, the axis of symmetry is

Therefore option is x=-10. Option 5 is incorrect.