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 5 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)Binomial distribution.
B)Poisson distribution.
C)Normal distribution.
D)Hypergeometric distribution.

Question

Quizplus · Accepted Answer

The binomial distribution is the most appropriate distribution to use in this scenario, as it models a situation where there are a fixed number of trials (in this case, 5 smoke alarms), each with two possible outcomes (functioning properly or not functioning properly), and the probability of success (functioning properly) is constant for each trial (0.8). We are interested in the probability that all 5 alarms will function properly, which can be calculated using the formula for the binomial distribution.

The Probability That a Particular Brand of Smoke Alarm Will