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The attention span of a two-year-old is exponentially distributed with a mean of

ID: 3267029 • Letter: T

Question

The attention span of a two-year-old is exponentially distributed with a mean of about 7 minutes. Suppose we randomly survey 60 two-year-olds. Part (a) In words, define the random variable X the attention span, n minutes, of all dkren 0 the nurnber ot two-year-old children the attention span, in m nutes, of a twoyear old child the ages of the children with short attention spans E Part (b) Give the distribution of X Part (c) In words, define the random vaniable X tho average number of two-year old chid-on the average ago od chldren with short attention spans the average attention span, r) minutes, for a sample of 60 dkien the average nerthon span, minules, for all dikten E Part (d) (Round your standard deviation to two domal places ) Gve the distribution of

Explanation / Answer

Dear student,

According to Chegg guidelines,only the first 4 subparts are answered.

a, X= attention span,in minuites of a two year old.

b, X~exp(7)

c,x-bar= the average attention span , in minuites of a sample of 60 children.

d, x-bar~N(7,0.91^2).

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