Description

1)Find these probabilities for a standard normal random variable Z. Be sure to draw a picture to check your calculations. Use the normal table or software.

(e) P(−1.4≤Z≤1.5)=

(Round to four decimal places as needed.)

2)The weekly salary paid to employees of a small company that supplies part-time laborers averages $700with a standard deviation of

$400.

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

(b) If every employee receives a year-end bonus that adds $100to 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 $300and the median salary is

$500,does a normal model appear appropriate?

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