During concept testing for a new line of women's athletic clothing, the majority of the women who saw the product team's presentation gave feedback indicating that the fabric seemed too heavy to use for the workout clothes shown in the product's mock-up and advertising campaigns. What is the most likely outcome of this feedback? Explain why.

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

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Helen tells her nephew, bernard, that she will pay him $100 if he will stop smoking for six months. helen was hopeful that if bernard stopped smoking for six months, he would stop altogether. bernard stops smoking for six months but then resumes his smoking. helen will not pay him. she says that the type of promise she made cannot constitute a binding contract and that, furthermore, it was at least implied that he would stop smoking for good. can bernard legally collect $100 from helen