An automobile owner has 40% chance of having exactly one accident in a year and 60% chance of having no accidents in a year. There is no chance that the automobile owner incurs more than one accident in a year. If there is an accident, the loss amount has the following distribution:
Loss Amount Probability
30 0.30
60 0.15
100 0.45
180 0.10
Suppose there is an ordinary deductible of $40 and the maximum payment by the insurer is $130.
Determine the standard deviation of the payment made by the insurer to the automobile owner.
A: 32.44
B: 33.60
C: 34.77
D: 26.78
E: 27.43

A. 32.44

Step-by-step explanation:

Automobile owner has 40% chance for one accident in a year and 60% of zero accident in a year.

Let x is the loss of accident and y is the payment by insurer.

Y = 0 if X < 40,

x - 40 if 40 < x < 130

130 if x 170

Then, Var [y] = E y^2

Var [y] = 1052.16

E = 32.437.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.