In a prohibited area 12 security guards are assigned (posted) at a certain distance. A random check conducted on 9 security guards revealed that the probability of a guard watching during the duty hour is 0.75. i) Find the probability that at least two guards sleep during duty hours? ii) How many guards are needed if at least one guard sleeps during the duty hours to ensure 94% security?
In a prohibited area 12 security guards are assigned (posted) at a certain distance. A random check conducted on 9 security guards revealed that the probability of a guard watching during the duty hour is 0.75. i) Find the probability that at least two guards sleep during duty hours? ii) How many guards are needed if at least one guard sleeps during the duty hours to ensure 94% security?
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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In a prohibited area 12 security guards are assigned (posted) at a certain distance. A
random check conducted on 9 security guards revealed that the
watching during the duty hour is 0.75.
i) Find the probability that at least two guards sleep during duty hours?
ii) How many guards are needed if at least one guard sleeps during the duty hours
to ensure 94% security?
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