An experimenter is studying the effects of temperature,pressure, and type of catalyst on yield from a certainchemical reaction. Three different temperatures, fourdifferent pressures, and five different catalysts are underconsideration.a. If any particular experimental run involves the use ofa single temperature, pressure, and catalyst, howmany experimental runs are possible?b. How many experimental runs are there that involve useof the lowest temperature and two lowest pressures?c. Suppose that five different experimental runs are tobe made on the first day of experimentation. If thefive are randomly selected from among all the possibilities,so that any group of five has the same probabilityof selection, what is the probability that adifferent catalyst is used on each run?
An experimenter is studying the effects of temperature,
pressure, and type of catalyst on yield from a certain
chemical reaction. Three different temperatures, four
different pressures, and five 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?
b. How many experimental runs are there that involve use
of the lowest temperature and two lowest pressures?
c. Suppose that five different experimental runs are to
be made on the first day of experimentation. If the
five are randomly selected from among all the possibilities,
so that any group of five has the same probability
of selection, what is the probability that a
different catalyst is used on each run?
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