Mathematics, 02.12.2019 21:31, Ashley606hernandez

Acasino operator has invented a new game of "skill" and chance called grab all you can. here's how it works: a contestant reaches his right hand into a jar of dimes and grabs as many as he can in one handful. then he does the same thing with his left hand in a jar of quarters. research with many volunteers has determined that the mean number of dimes drawn is 68 with a standard deviation of 9.5, and the mean number of quarters is 42, with a standard deviation of 5.8

a) if d = the amount of money, in dollars, that a randomly-selected contestant grabs from the "dime grab," find the mean and standard deviation of d.
b) if t = the total amount of money, in dollars, that a contestant grabs from both jars, find the mean and standard deviation of t.
c) the casino operator plans to charge $20 for one round of play (that is, one grab from each jar.) if g = how much the contestant gains from one round of play, find the mean and standard deviation of g.

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Acasino operator has invented a new game of "skill" and chance called grab all you can. here's how i...