Step-by-step explanation:
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suppose the people have weights that are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.
Find the probability that if a person is randomly selected, his weight will be greater than 174 pounds?
Assume that weights of people are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.
Mean = 177
standard deviation = 26
We find z-score using given mean and standard deviation
z = 
= 
=-0.11538
Probability (z>-0.11538) = 1 - 0.4562 (use normal distribution table)
= 0.5438
P(weight will be greater than 174 lb) = 0.5438
Answer:
Step-by-step explanation:
Let p represent the number of pens Nick sold. Then the revenue is ...
0.10p +0.05(1000 -p) = 74.50
0.05p = 24.50 . . . . . . eliminate parentheses, subtract 50
p = 490 . . . . . . . . . . . . multiply by 20
The number of pencils sold is then ...
pencils = 1000 -490 = 510
Nick's Printing Press sold 490 pens and 510 pencils.