Find the indicated probability. A company manufactures calculators in batches of 55 and claims that the rate of defects is 5%. Find the probability of getting exactly 3 defects in a batch of 55 if the rate of defects is 5%. If a store receives a batch of 55 calculators and finds that there are 3 defective calculators, do they have any reason to doubt the company's claimed rate of defects? options**** 0.0180; Yes. If the rate of defects is really 5%, the probability of finding 3 defects in a batch of 55 calculators is very small. 0.228; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators. 0.237; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators. 1.37; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators.
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 company manufactures calculators in batches of 55 and claims that the rate of defects is 5%. Find the probability of getting exactly 3 defects in a batch of 55 if the rate of defects is 5%. If a store receives a batch of 55 calculators and finds that there are 3 defective calculators, do they have any reason to doubt the company's claimed rate of defects?
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0.0180; Yes. If the rate of defects is really 5%, the probability of finding 3 defects in a batch of 55 calculators is very small.
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0.228; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators.
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0.237; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators.
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1.37; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators.
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Introduction:
Denote X as the random variable of interest here, which is the number of defects in a batch of 55 calculators.
Consider it to be a success if a randomly selected calculator is defective.
As 5% of the calculators are defective, the probability of “success” is p = 5% = 0.05.
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