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 figure out the probability that all of them will function properly in case of a fire?
A) Poisson distribution
B) uniform distribution
C) binomial distribution
D) normal distribution

Question

Quizplus · Accepted Answer

The scenario described fits the criteria for a binomial distribution, where we have a fixed number of independent trials (5 smoke alarms), each with two possible outcomes (function properly or not), and a constant probability of success (0.8). The binomial distribution is used to calculate the probability of a certain number of successes (in this case, all 5 alarms) occurring in a fixed number of trials.

The Probability That a Particular Brand of Smoke Alarm Will