If the probability that a fluorescent light has a useful life of at least 800 hours is 0.9, find the probabilities that among 20 such lights a. Exactly 18 will have a useful life of at least 800 hours; b. At least 15 will have a useful life of at least 800 hours; c. At least 2 will not have a useful life of at least 800 hours.

If the probability that a fluorescent light has a useful life of at least 800 hours is 0.9, find the probabilities that among 20 such lights a. Exactly 18 will have a useful life of at least 800 hours; b. At least 15 will have a useful life of at least 800 hours; c. At least 2 will not have a useful life of at least 800 hours.

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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5. If the probability that a fluorescent light has a useful life of at least 800
hours is 0.9, find the probabilities that among 20 such lights
a. Exactly 18 will have a useful life of at least 800 hours;
b. At least 15 will have a useful life of at least 800 hours;
c. At least 2 will not have a useful life of at least 800 hours.

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If the probability that a fluorescent light has a useful life of at least 900 hours is 0.9,evaluate the probabilities that among 20 lights(i) Exactly (N+9) will have a useful life of at least 900 hours. N=0