A company which produces light bulbs of which 3% is defective. (a). If 50 light bulbs are selected for testing, what is the probability that exactly two are defective? (b) If a distributor gets a shipment of 2000 bulbs, what is the probability that exactly 15 are defective? © If a distributor gets a shipment of 3000 bulbs, determine the mean and variance of the number of defective bulb

Q: A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The…

A: Denote μ as the true mean IQ of children at 5 years of age, whose mothers played Mozart for at least…

Q: If Y is a random variable with a mean of 10 and a standard deviation of 2, what is the probability…

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 2

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Q: Suppose 20% of all emergency room patients have broken bones. Of the next fifteen patients to…

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Q: racing car consumes a mean of 107 gallons of gas per race with a variance of 49. If 46 racing cars…

A: Given Mean=107 Variance =49 N=46

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 99 and a mean…

A: Sample size n=72Population mean=207Population variance=9Population standard deviation=√variance=√9=3

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A: Follow Geometric distribution - Let X be number of trials to get first success or X ~ Geo(p)

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A: Given information: μ=4, σ2=9x=104*1.102311=114.64 tonsn=2450

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Q: what is the probability that there will be two companies in each of the three categories?

A: NOTE :here as per policy i have calculated first main question plz repost for other here b part is…

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Q: The height of women in the United States is normally distributed with mean 64.5 inches and standard…

A: Given Information: Women: Mean μ=64.5 Standard deviation σ=2 Men: Mean μ=70 Standard deviation σ=1.5

Q: (b) A statistical report showed a mean of 35.4 motor vehicle deaths each year in a city. (i) Find…

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Q: Suppose that the distribution of the lifetime of a car battery produced by a certain car company is…

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Q: Suppose, you are running an experiment for 1024 times where the probability of success in a single…

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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.