The weekly salary paid to employees of a small company that supplies part-time laborers averages $750 with a standard deviation of $450. (a) if the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week. (b) if every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how does this change the normal model for that week? (c) if every employee receives a 5% salary increase for the next year, how does the normal model change? (d) if the lowest salary is $300 and the median salary is $525, does a normal model appear appropriate? (a) if the weekly salaries are normally distributed, the fraction of employees that make more than $300 per week is approximately nothing. (type an integer or a fraction.)

(a) The fraction of employees is 0.84.

(b)

(c)

(d) No. The left part of the distribution would be truncated too much.

Step-by-step explanation:

(a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week.

We have to calculate the z-value and compute the probability

(b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how does this change the normal model for that week?

The mean of the salaries grows $100.

The standard deviation stays the same ($450)

(c) If every employee receives a 5% salary increase for the next year, how does the normal model change?

The increases means a salary X is multiplied by 1.05 (1.05X)

The mean of the salaries grows 5%, to $787.5.

The standard deviation increases by a 5% ($472.5)

(d) If the lowest salary is $300 and the median salary is $525, does a normal model appear appropriate?

No. The left part of the distribution would be truncated too much.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?