In a recent year, 22.2% of days in Salt Lake City had precipitation. A meteorologist took a random sample of 59 days that year and found the sample proportion of days that had precipitation,pp^. Assume the sampling distribution satisfies criteria and is approximately normal. Round to 4 decimal places. In your calculations use your standard error rounded to 3 decimal places. a) Find the probability that the sample proportion of days with precipitation is at least 0.29. FindP(p>0.29)=P(p^>0.29)= b) Find the probability that the sample proportion of days with precipitation is less than 0.19. FindP(p<0.19)=P(p^<0.19)= c) Find the probability that the sample proportion of days with precipitation is between 0.18 and 0.24. FindP(0.18