I need help with this questions with explanation. The weekly salary paid to employees of a small company that supplies part-time laborers averages $850with a standard deviation of $450.(a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than$400 per week.(b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how doesthis 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 $400 and the median salary is $625, does a normal model appear appropriate?(a) If the weekly salaries are normally distributed, the fraction of employees that make more than $400 perweek is approximately 0.8413(Type an integer or a fraction.

Given Information: Mean μ=850 Standard deviation σ=450 (a) If the weekly salaries are normally distributed, the objective is to estimate the fraction of employees that make more than $400 per week. A Z-score is a measure that indicates how many standard deviations away, a data value is, from the mean. It is given by the formula: Z=X-μσ The probability that employees make more than $400 is obtained as follows: PX>400=PZ>400-850450=PZ>-1.00=1-PZ≤-1.00=1-0.15866 [Use Z-table as shown below]=0.8413=841310000 (b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, then the mean of the distribution will change to 850+100=950. (c) If every employee receives 5% salary increase for the next year, the mean of the normal model changes to: μnew=μ+0.05μ=1.05μ=1.05850=892.5 NOTE: Hi there! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a time, so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.