Executives in the Australian Forestry Industry claim that only 7.5% of all old sawmills sites contain soil residuals of dioxin (an additive previously used for anti-sap-stain treatment in wood) higher than the recommended level. If Environment Canterbury randomly selects 12 old saw mill sites for inspection, assuming that the executives’ claim is correct: a. Calculate the probability that less than 2 site exceeds the recommended level of dioxin. b. Calculate the probability that more than or equal to 3 sites exceed the recommended level of dioxin. c. Calculate the probability that at least 2 sites exceed the recommended level of dioxin.
Executives in the Australian Forestry Industry claim that only 7.5% of all old sawmills sites contain soil residuals of dioxin (an additive previously used for anti-sap-stain treatment in wood) higher than the recommended level. If Environment Canterbury randomly selects 12 old saw mill sites for inspection, assuming that the executives’ claim is correct: a. Calculate the probability that less than 2 site exceeds the recommended level of dioxin. b. Calculate the probability that more than or equal to 3 sites exceed the recommended level of dioxin. c. Calculate the probability that at least 2 sites exceed the recommended level of dioxin.
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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Executives in the Australian Forestry Industry claim that only 7.5% of all old sawmills sites
contain soil residuals of dioxin (an additive previously used for anti-sap-stain treatment in
wood) higher than the recommended level. If Environment Canterbury randomly selects 12
old saw mill sites for inspection, assuming that the executives’ claim is correct:
a. Calculate the probability that less than 2 site exceeds the recommended level of
dioxin.
b. Calculate the probability that more than or equal to 3 sites exceed the
recommended level of dioxin.
c. Calculate the probability that at least 2 sites exceed the recommended level of
dioxin.
ii. A radioactive source emits 8 particles on average during a five-second period.
a. Calculate the probability that it emits exactly six particles during a 5-second
period.
b. Calculate the probability that it emits at least three particles during a 5- second
period.
c. During a ten-second period, what is the probability that five particles are emitted?
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