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The attention span of a two-year-old is exponentially distributed with a mean of about7minutes. Suppose we randomly survey 60 two-year-olds. Part (a) In words, define
The attention span of a two-year-old is exponentially distributed with a mean of about7minutes. Suppose we randomly survey 60 two-year-olds.
- Part (a) In words, define the random variableX. the attention span, in minutes, of a two-year-old childthe attention span, in minutes, of all childrenthe ages of the children with short attention spansthe number of two-year-old childrenCorrect! The random variable of interest is the attention span, in minutes, of a two-year-old child.
- Part (b) Give the distribution ofX.X~
17 - Part (c) In words, define the random variableX.the average attention span, in minutes, for all childrenthe average number of two-year-old childrenthe average attention span, in minutes, for a sample of 60 childrenthe average age of children with short attention spansCorrect! Since the random variableXof interest is the attention span, in minutes, of a two-year-old child, the average of these times would be represented by X..
- Part (d) Give the distribution ofX.(Round your standard deviation to two decimal places.)X~
, - Part (e) Before doing any calculations, which do you think will be higher? the probability that an individual attention span is less than 9 minutesthe probability that the average attention span for the 60 children is less than 9 minutes
- Part(f)Calculatetheprobabilitythatanindividualattentionspanislessthan9minutes.(Roundyouranswertofourdecimalplaces.) Calculatetheprobabilitythattheaverageattentionspanforthe60childrenislessthan9minutes.(Roundyouranswertofourdecimalplaces.)
I need help with E and F please
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