A new automated production process has had an average of 1.5 breakdowns per day. Because of the association of the cost with the breakdowns, the management is concerned about the possibility of three or more breakdowns during a day. Assume that breakdowns occur randomly and the probability of breakdown is same for any two time intervals of equal lengths and that breakdowns in one period are independent of breakdowns in other periods. What is the probability that during a day, (i) three of more breakdowns will occur? (ii) more than two but not more than four breakdowns will occur? (iii) minimum one breakdown will occur? (iv) no breakdown will occur?
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.
A new automated production process has had an average of 1.5 breakdowns per day.
Because of the association of the cost with the breakdowns, the management is concerned
about the possibility of three or more breakdowns during a day. Assume that breakdowns
occur randomly and the
equal lengths and that breakdowns in one period are independent of breakdowns in other
periods. What is the probability that during a day, (i) three of more breakdowns will occur?
(ii) more than two but not more than four breakdowns will occur? (iii) minimum one
breakdown will occur? (iv) no breakdown will occur?
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