Show work on paper please

Instructions: Show all your work in the space provided below and use proper statistical symbols for full credits. Make sure your homework is legible. 1. A report estimated that 64% American adults ages 20-74 were overweight. Use this estimate as the population proportion. If 144 subjects are selected at random from the population, what is the probability that 70% or more would be found to be overweight? ( 30 pts) 2. A report stated that for American in the age group 18-24 years, 64.8% had private health insurance; and in the age group 25-34 years, 72.1% had private health insurance. Assume that these percentages are the population parameters in those age groups for USA. Suppose a random sample of 250 Americans from the 18-24 age group, and an independent random sample of 200 Americans from the 25-34 age group are drawn. What is the probability that the difference between the sample proportions (p hat 2 minus p hat 1) will be less than 7%. ( 50 pts) 3. What is probability that a z picked at random from the population of z's will have a value between -2.55 and + 2.55 (20 pts)