# Question: Use the result of Exercise 8 56 to find the mean

Use the result of Exercise 8.56 to find the mean and the variance of the sampling distribution of R for random samples of size n from the continuous uniform population of Exercise 8.46.

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There are many problems, particularly in industrial applications, in which we are interested in the proportion of a population that lies between certain limits. Such limits are called tolerance limits. The following steps ...If a random sample of size n = 3 is drawn from a finite population of size N = 50, what is the probability that a particular element of the population will be included in the sample? A random sample of size 64 is taken from a normal population with µ = 51.4 and σ = 6.8. What is the probability that the mean of the sample will (a) Exceed 52.9; (b) Fall between 50.5 and 52.3; (c) Be less than 50.6? The claim that the variance of a normal population is σ2 = 4 is to be rejected if the variance of a random sample of size 9 exceeds 7.7535. What is the probability that this claim will be rejected even though σ2 = 4? Find the probability that in a random sample of size n = 4 from the continuous uniform population of Exercise 8.46, the smallest value will be at least 0.20.Post your question