Suppose you operate a diamond mine in South Africa. The daily production of diamonds is approximately normally distributed with a mean of 7,500 tons of diamonds per day with a standard deviation of 1,500 tons of diamonds per day. 21. What is the probability that the mine produces more than 9,200 tons of diamonds in a day? a) .1292 b) .8708 c) .5478 d) .4522 22. What is the probability that the mine produces between 5,400 and 8,200 tons of diamonds in a day? a) .6808 b) .0808 c) .60 d) .7616 23. What is the probability that the mine produces between 4,500 and 9,000 tons of diamonds in a day? a) 68% b) 95% c) 79% d) 81.5%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose you operate a diamond mine in South Africa. The daily production of diamonds
is approximately normally distributed with a mean of 7,500 tons of diamonds per day
with a standard deviation of 1,500 tons of diamonds per day.
21. What is the probability that the mine produces more than 9,200 tons of diamonds in a
day?
a) .1292
b) .8708
c) .5478
d) .4522
22. What is the probability that the mine produces between 5,400 and 8,200 tons of
diamonds in a day?
a) .6808
b) .0808
c) .60
d) .7616
23. What is the probability that the mine produces between 4,500 and 9,000 tons of
diamonds in a day?
a) 68%
b) 95%
c) 79%
d) 81.5%
Transcribed Image Text:Suppose you operate a diamond mine in South Africa. The daily production of diamonds is approximately normally distributed with a mean of 7,500 tons of diamonds per day with a standard deviation of 1,500 tons of diamonds per day. 21. What is the probability that the mine produces more than 9,200 tons of diamonds in a day? a) .1292 b) .8708 c) .5478 d) .4522 22. What is the probability that the mine produces between 5,400 and 8,200 tons of diamonds in a day? a) .6808 b) .0808 c) .60 d) .7616 23. What is the probability that the mine produces between 4,500 and 9,000 tons of diamonds in a day? a) 68% b) 95% c) 79% d) 81.5%
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