In February 2021, Pew Research asked 2,596 random US adults what gives them meaning in life. 17% of respondents said, "occupation and career." We know that the proportion of the sample who answer "occupation and career" will vary in repeated sampling. In repeated sampling the sample proportion, p-hat, has an approximately normal distribution with mean 0.17 and standard deviation 0.007. Use this information to answer the questions below. Show your work for each question and round all numeric answers to 3 decimal places. a) Find the probability that at least 0.175 of a random sample of 2,596 US adults respond "occupation and career" b) Find the probability that betwoon 0.159 and 0. 179 of a random sample of 2,596 US adults respond "occupation and career" c) What is the sample proportion that cuts off the lowest 10% all proportions for samples of size 2, 5967 **