An automobile battery manufacturer claims that its midgrade battery has a mean life of 50 months with a standard deviation of 6 months. Suppose the distribution of battery lives of this particular brand is approximately normal. On the assumption that the claims are true, find the probability that a randomly selected battery of this type will last less than 48 months. (Use the software link for every question) (a) Let X = number of months a battery will last. Write the question above in terms of this variable X %! (b) Find the probability that a single battery of this type will last less than 48 months. (c) Find the probability that the mean of a random sample of 36 batteries will be less than 48 months.

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A:

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Q: Describe in brief the uniform distribution.

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A: Introduction - z-score  z=x-μσwhere , x= score μ=mean σ=standard deviation

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A: To find: What are the requirements needed to be a binomial distribution?

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A: Introduction The probability shows how likely an event occurs.

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A:

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A: We are given,μ = 196σ = 22n = 60

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Q: This distribution illustrates a

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Q: Identify two uses of Poisson distributions.

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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.