5) a sales agent earns a monthly salary that is comprised from a fixed amount of $1,000 and a bonus of $100 for each signed deal. the sales agent believes that the probability to sign a single deal is 0.1, and he has the opportunity to try and sign 100 deals in the next month. denote by w the next month's salary.

(a) calculate the expected value of w.

(b) calculate the standard deviation of w.

(a) $2000

(b) $94.9

Step-by-step explanation:

The expected $ value of signing 100 deals with probability of 0.1 each is

E(X) = 100*0.1 + 100*0.1 + 100*0.1 + ... + 100*0.1 = 100(100*0.1) = $1000

Along with the fixed amount of $1000, the total next month salary is $2000

As for the standard deviation we can apply the following formula

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,