a) A warranty claim center of a large scale firm is committed to reply to customer within 2 working days. A response on warranty claim that taking more than 2 days is considered a failure. The historical data shows that there are 1.25 failures per 20 clams on average. (i) Find the probability that in the next 20 clams no failures will be observed? (ii) Find the probability that in the next 40 clams at least 3 failures will be observed?
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) A warranty claim center of a large scale firm is committed to reply to customer within 2 working days. A response on warranty claim that taking more than 2 days is considered a failure. The historical data shows that there are 1.25 failures per 20 clams on average.
(i) Find the probability that in the next 20 clams no failures will be observed?
(ii) Find the probability that in the next 40 clams at least 3 failures will be observed?
(b) Suppose that the error in the reaction temperature, in °C, for a controlled laboratory experiment is a continuous random variable X having the probability density
fX=x=x23 -1≤x≤2 0 elsewhere
Find the expected value of this temperature.
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