Assume that the probability that there is a significant accident in a nuclear power plant during one year's time is .001. If a country has 100 nuclear plants, estimate the probability that there is at least one such accident during a given year.

• 0.085
• 0.09
• 0.095
• 0.1
• 0.105

References

Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.

Solution: C

The number of accidents in a year is a binomial distribution with parameters [math]n= 100, p = 0.001 [/math] and therefore the probability that we get at least one accident in a year equals 1- (1-p)¹⁰⁰ = 0.09521.