Question
1. Wait'times'for'the'bus'are'uniformly'distributed'between'0'and'10'minutes.''' a. Find'the'mean'of'the'distribution.' ' ' b. Find'the'standard'deviation.' ' ' c. What'is'the'probability'a'single'person'waits'more'than'7'minutes?' ' ' d. Taking'random'samples'of'100'people'who've'waited'for'the'bus,'what'is'the'probability'that' the'sample'mean'waiting'time'is'more'than'7'minutes?' ' ' ' 2. IQ'scores'are'normally'distributed'with'a'mean'of'100'and'a'standard'deviation'of'15.''In'using' samples'of'25'random'IQ'scores,'find'the'following.' ' a.
1. Wait'times'for'the'bus'are'uniformly'distributed'between'0'and'10'minutes.''' a. Find'the'mean'of'the'distribution.' ' ' b. Find'the'standard'deviation.' ' ' c. What'is'the'probability'a'single'person'waits'more'than'7'minutes?' ' ' d. Taking'random'samples'of'100'people'who've'waited'for'the'bus,'what'is'the'probability'that' the'sample'mean'waiting'time'is'more'than'7'minutes?' ' ' ' 2. IQ'scores'are'normally'distributed'with'a'mean'of'100'and'a'standard'deviation'of'15.''In'using' samples'of'25'random'IQ'scores,'find'the'following.' ' a. The'probability'a'single'IQ'score'is'less'than'85.' ' ' b. The'probability'the'IQ'scores''sample'mean'is'less'than'85.' ' ' c. The'probability'that'a'single'IQ'score'is'more'than'125.' ' ' d. The'probability'the'IQ'scores''sample'mean'is'more'than'110.''
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