Consider a population where 65 of observations possess a desired characteristic Furthermore consider the sampling distribution of a sample proportion with a sample size of n 176 Use this information to determine the following probabilities Round solutions to four decimal places if necessary Find the probability that in a random sample of 176 observations less than 77 of the observations possess the desired characteristic P p 0 77 Find the probability that in a random sample of 176 observations between 63 and 69 of the observations possess the desired characteristic P 0 63 p 0 69