The amount of time that a watch will run without hav-ing to be reset is a random variable having an exponential distribution with θ = 120 days. Find the probabilities thatsuch a watch will(a) have to be reset in less than 24 days;(b) not have to be reset in at least 180 days.

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Q: please solve it

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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.