If Y is a continuous random variable such that E[(Y − a) 2 ] < [infinity] for all a, show that E[(Y − a) 2 ] is minimized when a = E[Y ]. Hint: E[(Y − a) 2 ] = E[((Y − E[Y ]) + (E[Y ] − a))2 ]

How can you find the conditional probability of a given b as the fraction of b’s outcomes that also belong to a, and interpret the answer in terms of the model? i just need a good explanation

This is the number of parts out of 100, the numerator of a fraction where the denominator is 100. submit

Tod does not have any cookies. david gives jeff 8 cookies. then he splits half of the cookies he has left with tod. david let’s c represent the number of cookies that he starts with. he finds the number of cookies that tod has is 1/2 the difference of c and 8. write an expression to represent the number of cookies that tod has.