21. The salaries of employees in a large company are normally distributed with a mean of S60,000 and a standand deviation af $10.00. What is the z-value for a person who makes $52,250? a. 730 b. 0.07 e. 4.78 d. 0.75 e. 062 Lise a ztable to detemine the percentage of people that make mere than $32,250 a. 78.23% b. 78.ON e. 21.77% d. 77.3% e. 21.92% If you wore to pick somebody from the company at random, what is the probability that this person makes betwoen S61,000 and S65,0007 You may use any method you wish to calkulate this. a. About 12 b. About 15% e. About 18% d. About 22% e. About 28%

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please answer all parts to number 21

The standard normal distribution is a continuous distribution with a mean of 0 and a standard deviation of 1.
The following is true:
About 68% of all outcomes lie within I St.Dev.
About 95% of all outcomes lie within 2 St.Devs
About 99.97% of all outcomes lie within 3 St. Devs.
The probability/percentage/percentile for a nomal distribution is the area under the curve. You will ALWAYS
BE CALCULATING OVER AN INTERVAL.
Values outside of 2 St. Devs. are considered "unusual values."
X-H value- mean
St.Dev
Recall that
21. The salaries of employees in a large company are normally distributed with a mean of S60,000 and a standand
deviation of $10.0. What is the z-value for a person who makes $52,250?
a 7.80
b. 0.07
e. 4.78
d. 0.75
e. 162
Lse a table to detemine the percentage of people that make mmore than $52,250.
a 78.2
b. 78.O
e. 21.77
d. 77.3%
e. 21.92
If you wore to pick somebody from the company at random, what is the probability that this person makes
betwoen S61,000 and S65,0007 You may use any method you wish to calculate this.
a. About 12%
b. About 15%
e. About 18N
d. About 22%
e. Ahout 28
Transcribed Image Text:The standard normal distribution is a continuous distribution with a mean of 0 and a standard deviation of 1. The following is true: About 68% of all outcomes lie within I St.Dev. About 95% of all outcomes lie within 2 St.Devs About 99.97% of all outcomes lie within 3 St. Devs. The probability/percentage/percentile for a nomal distribution is the area under the curve. You will ALWAYS BE CALCULATING OVER AN INTERVAL. Values outside of 2 St. Devs. are considered "unusual values." X-H value- mean St.Dev Recall that 21. The salaries of employees in a large company are normally distributed with a mean of S60,000 and a standand deviation of $10.0. What is the z-value for a person who makes $52,250? a 7.80 b. 0.07 e. 4.78 d. 0.75 e. 162 Lse a table to detemine the percentage of people that make mmore than $52,250. a 78.2 b. 78.O e. 21.77 d. 77.3% e. 21.92 If you wore to pick somebody from the company at random, what is the probability that this person makes betwoen S61,000 and S65,0007 You may use any method you wish to calculate this. a. About 12% b. About 15% e. About 18N d. About 22% e. Ahout 28
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