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 $700
with a standard deviation of
$400.
(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
$500,
does a normal model appear appropriate?


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