Math - Ratios

An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of mov- ing violatio

olga2289 [7]

Answer:

a) $E(Y) = \sum_{i=1}^n Y_i P(Y_i)$

And replacing we got:

$E(Y) =0*0.60 +1*0.25 +2*0.1 +3*0.05 = 0.60$

b) $E(Y^2) =0^2*0.60 +1^2*0.25 +2^2*0.1 +3^2*0.05 = 1.1$

And then the expected value would be:

$E(100Y^2) = 100*1.1= 110$

Step-by-step explanation:

We assume the following distribution given:

Y 0 1 2 3

P(Y) 0.60 0.25 0.10 0.05

Part a

We can find the expected value with this formula:

$E(Y) = \sum_{i=1}^n Y_i P(Y_i)$

And replacing we got:

$E(Y) =0*0.60 +1*0.25 +2*0.1 +3*0.05 = 0.60$

Part b

If we want to find the expected value of $100 Y^2$ we need to find the expected value of Y^2 and we have:

$E(Y^2) = \sum_{i=1}^n Y^2_i P(Y_i)$

And replacing we got:

$E(Y^2) =0^2*0.60 +1^2*0.25 +2^2*0.1 +3^2*0.05 = 1.1$

And then the expected value would be:

$E(100Y^2) = 100*1.1= 110$

4 0

3 years ago

The product of a number and 9 is -450

Softa [21]

Answer:

-50

Well to get the answer of the product of a number and 9 is -450. You must divide 9 by -450 using long divison.

6 0

3 years ago

Recent studies indicate that the average surface temperature of the

andreev551 [17]

Answer:

Slope : The rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.

T-intercept : 8.5 represents the temperature in °C of the earth's surface in the year 1900.

Step-by-step explanation:

The average surface temperature of Earth rising steadily. Scientists have modeled the temperature by the equation, T = 0.02t + 8.50 where t represents years since 1900 and T is the temperature in ◦C.

Now, the slope of the model equation is 0.02 which means the rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.

Again, the T-intercept i.e. 8.5 represents the temperature in °C of the earth's surface in the year 1900. (Answer)

7 0

3 years ago

Which expressions are equivalent to the one below? Check all that apply.log(10^7)

maksim [4K]

The value of expression is 7.

<h3>What is expression?</h3>

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

$log 10^{7}$