27 15. In a triavariate distribution, if r2 =r3 = r31 = C. show that c lies between -and I. - 12 = r23 = r31=c (Given).
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- Suppose that in a certain population, individuals’ heights are approximately nor- mally distributed with parameters μ = 70 and σ = 3 in. a. What proportion of the population is over 6 ft. tall? b. What is the distribution of heights if they are expressed in centimeters? In meters?If np>5 and nq>5, estimate P(fewer than 8) with n = 14 and p = 0.6 by using the normal distribution as an approximation to the nibomial distribution; if np < 5 or nq <5 A. P(fewer than 8)=1) Assume that women's heights are normally distributed with a mean given by μ=64.5 in, and astandard deviation given by σ=3.1 in.a) If 1 woman is randomly selected, find the probability that her height is less than 65 in.b) If 39 women are randomly selected, find the probability that they have a mean height less than 65 in.
- If each person purchases from a store has a uniform distribution at a distance of (0.2), it is likely that the sumWhat is the daily sales of the store on the day when 50 people enter the store, more than 55?If a point randomly located in an interval (a,b) and if y denotes the location of the point, then y is assumed to have a uniform distribution over (a,b). A plant efficiency expert randomly selects a location along 500-ft assembly line from which to observe the work habits of the workers on the line. What is the probability that the point she selects is a). within 25 feet of the end of the line? b.) within 25 feet of the beginning line? c.) closer to the beginning of the line than to the end of the line?