You're a teacher in a 7th grade math class and you want to create an experiment for your class with red, yellow, and purple marbels in a bag you want the theoretical probability of drawing a red marble to be 1/2, the theoretical of drawing a yellow to be 1/4, and the theoretical probabitity of drawing a purple to also be 1/4. if you want a total of 80 marbles in the bag

People end up tossing 12% of what they buy at the grocery store. assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior. a. calculate the mean and the standard error for the sample proportion p. b. describe the sampling distribution of p in part a. draw a graph of this probability distribution with its mean and standard deviation. what is the probability that your survey will provide a sample proportion more than 15%? c. d. population proportion? what is the probability that your survey will provide a sample proportion within + 0.03 of the