A machine dispenses a carbonated drink into bottles before these are sealed. While the machine is supposed to dispense 250 ml of drink dispensed is normally distributed with a mean of 245 ml and a standard deviation of 6ml. Find the probability that a bottle randomly selected from the production output a. Contains between 240 and 260 ml of carbonated drink b. More than 255ml of drink c. Less than 235 ml of drink

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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1. A machine dispenses a carbonated drink into bottles before these are sealed. While the machine is supposed to dispense 250 ml of drink dispensed is normally distributed with a mean of 245 ml and a standard deviation of 6ml. Find the probability that a bottle randomly selected from the production output

a. Contains between 240 and 260 ml of carbonated drink
b. More than 255ml of drink
c. Less than 235 ml of drink

2. The average monthly salary for a newly hired employee at a bank is 18000. If the hiring salary at this bank is normally distributed with a standard deviation of P2500, find the probability that a newly hired employee randomly selected from a list received monthly salary
a. Which is less than P 15000
b. Which is between P20000 and P25000
c. Which is more than P25000

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