Consider the following strategy playing the roulette. Bet $1 on red. If red appears (which happens with probability 18/38), then take $1 and stop playing for the day. If red does not appear, then bet additional $1 on red each of the following two rounds, and then stop playing for the day no matter the outcome. Let X be the net gain (a negative gain means a loss). (a) Find the probability mass function of X; (b) Compute P. X > 0/: Is this a good strategy

Sharon had some insider information about a corporate takeover. she unintentionally informed a friend, who immediately bought the stock in the target corporation. the takeover occurred and the friend made a substantial profit from buying and selling the stock. the friend told sharon about his stock dealings, and gave her a pearl necklace because she "made it all possible." the necklace was worth $10,000, but she already owned more jewelry than she desired.

The leading producer of cell phone backup batteries, jumpstart, has achieved great success because they produce high-quality battery backups that are not too expensive. even so, another company that produces lower-quality batteries at the same price has also achieved some success, but not as much as jumpstart. also, in general, the price of backup batteries has declined because of economies of scale and learning. in addition, jumpstart has added complementary assets, such as a carrying case. considering all of these factors, the backup battery industry is most likely in the introduction stage. growth stage. shakeout stage. maturity stage.

At cooly cola, we are testing the appeal of our new diet one cola. in a taste test of 250 randomly chosen cola drinkers, 200 consumers preferred diet one cola to the leading brand. assuming that the sample were large enough, the large-sample 95% confidence interval for the population proportion of cola drinkers that prefer diet one cola would be: