The weight of pebbles is uniformly distributed between 25 and 45 grams. You pick a pebble randomly. What is the probablility that it will weigh bteween 37 and 37 grams?

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A: Given: Type I error (α) = 0.025 Type II error (β) = 0.05 μ0 = 65 Variance(σ2) = 100 Standard…

Q: We would like to determine the sample size necessary to ensure a probability of a type I error of…

A: Given: Type I error (α)=0.025Type II error (β)=0.05Variance(σ2)=100standard deviation(σ)=10μ0=65…

Q: If two loads are applied to a cantilever beam as shown in the figure below, the bending moment at 0…

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Q: Suppose that an airline uses a seat width of 16.3in. Assume men have hip breadths that are normally…

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Q: sample of size 50 is taken from a continuous uniform random varlable with parameters 1 and 39. What…

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Q: The average GPA of a high school is 2.86. Suppose that the population is normally distributed with a…

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A: Here We need to check the expected value condition

Q: confidence is

A: Given, Sample size= 100 Standard deviation = 5 To find the confidence interval

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A: Given that  Population with standard deviation (σ) = 24   We know that  Standard error (SE) = σn

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Q: in a random experiment which leads to an outcome that can be represent ed by a continuous random…

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Q: If the sample size is 8 then the degree of freedom when using T distribution is equal ?

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Q: Provide the graphs for PDF and CDF of the random variable B which takes on values of 1 and 0 with…

A: Introduction: Denote the random variable as B.

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!