g Let Θ ∼ Uniform[0, 2π]. Let X = cos Θ, Y = sin Θ. (a) Show that X and Y are uncorrelated random variables (b) Show that X and Y are not independent random variables by showing that X2 and Y 2 are not uncorrelated random variables. (c) Show that X and Y are not independent random variables by showing that {− √ 1 2 < X < √ 1 2 }, {− √ 1 2 < Y < √ 1 2 } are not independent events. Remark: (b) and (c) are indirect ways of showing that X and Y are not independent.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

idc

step-by-step explanation:

idk