The following table gives a two-way classification of 400 randomly selected students  based on gender and whether they support, oppose, or don’t care about Proposition G. Support Oppose Don’t Care Total Male 60 45 75 180 Female 100 40 80 220 Total 160 85 155 400 (a) Find the conditional prob. that a r/s student supports Proposition G given that she  is a female. (b) Find the prob. that a r/s student is a female and opposes Proposition G. (c) Find the prob. that a r/s student either opposes Proposition G or is a female

Junk mail Direct mail advertisers send solicitations(a.k.a. “junk mail”) to thousands of potential customersin the hope that some will buy the company’s product. The acceptance rate is usually quite low. Suppose a com-pany wants to test the response to a new flyer, and sends it to 1000 people randomly selected from their mailinglist of over 200,000 people. They get orders from 123 ofthe recipients.a) Create a 90% confidence interval for the percentage ofpeople the company contacts who may buy something.b) Explain what this interval means.c) Explain what “90% confidence” means.d) The company must decide whether to now do a massmailing. The mailing won’t be cost-effective unless it produces at least a 5% return. What does your confi-dence interval suggest? Explain.

A poll of 120 city residents found that 30 had visited the new museum, and that 80 had been to the new park. If it appeared that going to the park and going to the museum were independent events, how many of those polled had been to both? Park O 20 O 15 Museum Yes No Total Hint: P(went to park and went to museum) divided by total people surveyed O 10 Yes ?? No 80 40 Total 30 90 120 OIt cannot be determined.

The table shows coffee preferences from a survey. Coffe Type Plain Sugar Creamer Regular 0.27 0.19 0.32 Decaf 0.05 0.08 0.09 If a person is chosen at random in this survey, what is the P(regular or creamer)?    0.27  0.32  0.78  0.87

A survey of 519 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night.  It found: 180 watched TV 164 hung out with friends 189 ate pizza 47 watched TV and ate pizza, but did not hang out with friends 30 watched TV and hung out with friends, but did not eat pizza 39 hung out with friends and ate pizza, but did not watch TV 43 watched TV, hung out with friends, and ate pizza How may 18-24 year olds did not do any of these three activities last Friday night?