The probability that a particular brand of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8.You have five such alarms in your home and they operate independently.Which of the following distributions would you use to determine the probability that all of them will function properly in case of a fire?
A) Hypergeometric distribution.
B) Binomial distribution.
C) Poisson distribution.
D) None of the above.

Question

Quizplus · Accepted Answer

We would use the binomial distribution to determine the probability that all five smoke alarms will function properly in case of a fire, as each alarm has a fixed probability of 0.8 of functioning properly and the alarms operate independently of each other. The binomial distribution is used for a fixed number of independent trials, with each trial having a fixed probability of success.

The Probability That a Particular Brand of Smoke Alarm Will