d. What is the probability that average yield for 10 days is at most 800 tons? e. What is the probability that at least 700 tons of ore will be mined on 8 out of 10 days?

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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d,e

The yield at a given coal mine, in tons of ore per day, is approximately normally distributed with mean
785 tons and unknown standard deviation.
a. Find the standard deviation of the daily output if it is known that on 13% of the days the output
falls below 717.2 tons.
b. Find the 68th percentile of the daily outputs.
c. Find the probability that at least 700 tons of ore will be mined on a given day.
d. What is the probability that average yield for 10 days is at most 800 tons?
e. What is the probability that at least 700 tons of ore will be mined on 8 out of 10 days?
Transcribed Image Text:The yield at a given coal mine, in tons of ore per day, is approximately normally distributed with mean 785 tons and unknown standard deviation. a. Find the standard deviation of the daily output if it is known that on 13% of the days the output falls below 717.2 tons. b. Find the 68th percentile of the daily outputs. c. Find the probability that at least 700 tons of ore will be mined on a given day. d. What is the probability that average yield for 10 days is at most 800 tons? e. What is the probability that at least 700 tons of ore will be mined on 8 out of 10 days?
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