Question

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 Correct: Your answer is correct. runs (b) How many experimental runs are there that involve use of the lowest temperature and two lowest pressures? 12 Correct: Your answer is correct. 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.)

Answer 1

Answer:

90

12

0.0154

Step-by-step explanation:

a) #Possible experimental run=#Temp x #pres x #cat=3x5x6=90

b) #Possible experimental run=(Temp. lowest) x 2.pres x #cat=1x2x6=12

c) C="different catalyst is used on each run"

In the first, I can choice 6 of 6 catalysts, in the second 5 of 6,...

then: P(C) = 6/6 x 5/6 x 4/6 x 3/6 x 2/6 x 1/6 = 5/324 = 0.0154