4. in 1996 there was a battle in the courts and in the marketplace between intel and digital equipment corp. about the technology behind intel's pentium microprocessing chip. digital accused intel of willful infringement on digital's patents. although digital's alpha microprocessor chip was the fastest on the market at the time, its speed fell victim to intel's marketing clout. that same year, intel shipped 76% of the microprocessor market. suppose a random sample of n = 1,000 personal computer (pc) sales is monitored and the type of microprocessor installed is recorded. let pˆ be the proportion of personal computers in the sample with a pentium microprocessor. a. what are the mean, standard deviation, and shape of the distribution of p ˆ? (1 point)

b. using the normal approximation without the continuity correction, what's the probability you'd draw a random sample of 1,000 pcs with a proportion of pentium chips exceeding 80%? (1 point)

c. looking at the answer you got for part b, if you got a simple random sample with p ˆ > .8, would you conclude the population proportion may be higher than .76? why?