Smartphone accessories. A smartphone accessory manufacturer conducted a survey to determine how likely it is for a university student to purchase smartphone accessories in a month. Four of the most frequently purchased smartphone accessories—headphones, Bluetooth earbuds, portable chargers, and cases/covers—were considered for the survey. The results are shown in the following table.

Buying Likelihood Unlikely Moderately Likely Very Likely Total Smartphone Accessories Headphones 94 45 36 175 Bluetooth earbuds 157 75 83 315 Portable chargers 23 167 65 255 Cases/covers 13 175 267 455 Total 287 462 451 1200

a) What percent of university students will purchase Bluetooth earbuds in a month?

b) What percent of university students is very likely to purchase a headphone?

c) In the Very Likely category, what percent of university students would purchase cases/covers?

d) For the portable charger, what percent is very likely to be purchased by a university student?

e) What is the marginal distribution of the smartphone accessories?

f) What is the conditional distribution of the smartphone accessory very likely purchased by a university student?
g) Does this study present any evidence that the manufacturer has to focus on manufacturing certain smartphone accessories?