Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider functions
f and g. Evaluate the function composition.
2 answers:
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Answer: a)
Step-by-step explanation:
Given : For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank.
Each of the four systems detects theft with a probability of .99 independently of the others .
Probability for independent events occurs together =
.
Then, the probability that when a theft occurs, all four systems will detect it
= (0.99) x (0.99) x (0.99) x (0.99)
Hence, the probability that when a theft occurs, all four systems will detect it is .
Hence, the correct answer is a) .