Prof Bickel 08 Feb 18 As every Girl Scout knows, statistics teachers seriously l

Question

Prof Bickel 08 Feb 18 As every Girl Scout knows, statistics teachers seriously love Girl Scout Cookies. The number of boxes of GS cookies statistics teachers order, like all important decisions by statistics teachers, is determined by independent rolls of a 4-sided fair die. If appears, 6 boxes are ordered; if any other number appears, 2 boxes are ordered. a one 3) What is the probubility that a statistices teacher places an order for 2 boxes of Girl Scout cookies? b) What is the probability that with two independently chosen statistics teachers will each order 6 boxes each? c) What is the probability that for two independently chosen statistics teachers the first will order 6 boxes and the second will order 2 boxes? d) What is the probability that for two independently chosen statistics teachers exactly one will order 6 boxes?

Explanation / Answer

a) P(places an order for 2 box) =P(gets any number out of 2,3,4) =3/4=0.75 (as these are 3 outcome out of 4)

b)P(both order 6 box) =P(first one order six)*P(second one order 6 box) =(1/4)*(1/4) =1/16 =0.0625

c)

P(first orders six and second orders 2 box) =P(first one order 6)*P(second one order 2) =(1/4)*(3/4) =3/16 =0.1875

d)P(exactly one will order 6)=P(first one order 6)*P(second one order 2)+P(first one order 2)*P(second one order 6)

=(1/4)*(3/4)+(3/4)*(1/4) =6/16 =3/8=0.375

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