✓runs (c) Suppose that six different experimental runs are to be made on the first day of experimentation. If the six are randomly selected from among all the possibilities, so that any group of six has the same probability of selection, what is the probability that a different catalyst is used on each run? (Round your answer to four decimal places.) Need Help? Read It

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Part C, thank you

An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, five different pressures, and six different catalysts are under consideration.
(a) If any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible?
90
runs
(b) How many experimental runs are there that involve use of the lowest temperature and two lowest pressures?
12
Need Help?
runs
(c) Suppose that six different experimental runs are to be made on the first day of experimentation. If the six are randomly selected from among all the possibilities, so that any group of six has the same probability of selection, what is the probability that a different catalyst is used on each run? (Round your
answer to four decimal places.)
Read It
Transcribed Image Text:An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, five different pressures, and six different catalysts are under consideration. (a) If any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible? 90 runs (b) How many experimental runs are there that involve use of the lowest temperature and two lowest pressures? 12 Need Help? runs (c) Suppose that six different experimental runs are to be made on the first day of experimentation. If the six are randomly selected from among all the possibilities, so that any group of six has the same probability of selection, what is the probability that a different catalyst is used on each run? (Round your answer to four decimal places.) Read It
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