Suppose a movie theater has 12 neon lights on their marquis sign on the front of their building. Assume the neon lights are independent exponential random variables with all with the same lifetimes of lambda = 1/2000 per hour. Assume at the starting condition, all neon lights on the sign are working. a) Calculate the probability that after 200 hrs, all the neon lights on the sign are still working. b) Compute the expected number of neon lights still working after 200 hrs. c) What is the expected time when a total of 3 of the neon lights have gone
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.
Suppose a movie theater has 12 neon lights on their marquis sign on the front of their building. Assume the neon lights are independent exponential random variables with all with the same lifetimes of lambda = 1/2000 per hour. Assume at the starting condition, all neon lights on the sign are working.
a) Calculate the probability that after 200 hrs, all the neon lights on the sign are still working.
b) Compute the expected number of neon lights still working after 200 hrs.
c) What is the expected time when a total of 3 of the neon lights have gone out?
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