A burglar alarm system has 6 fail-safe components. The probability of each failing is .05. Find these probabilities: (a) exactly 3 will fail; (b) fewer than 2 will fail; (c) none will fail; (d) compare the answers for parts(a), (b) and (c), and explain why the results are reasonable.

Q: When tossing two fair coins, the probability of getting two tails P(TT)=1/4 What is the probability…

A:

Q: 4. According to the school board, 48% of all the voters in the district support the referendum.…

A: From the provided information, 48% of all the voters in the district support the referendum. a)…

Q: A company produces products at a cost of $30 each. Defective products cost an additional $16 each to…

A: Given that:The probability of no defective products is 80%=0.805% of 600=0.05×600=30. So the…

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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.