l.Example 1. 2500 managers were asked: Did you have an MBA degree? The population consists ofyes/no responses for to this question. The populatIOn proportion IS 60% or .6, respectively. What is the probability that the sample proportion will lie between 55% and 65% if the sample size is equal to 30? 2.Example 2. 2500 managers were asked: Did you have an MBA degree? The population consists ofyes/no responses for to this question. The population proportion is 60% or .6, respectively. What IS the probability that the sample proportion will be greater than 55% ifthe sample size is equal to 30? 3. Example 3. 2500 managers were asked: Did you have an MBA degree? The population consists ofyes/no responses for to this question. The population proportion is 60% or .6, respectively. What is the probabil!ty that the sample proportion will have a sampling error of 5% if the sample size is equal to 30? 4.Example 4A population proportion is.4. A simple random sample ofsize 200 is taken and the sample proportion willbe used to estimate the population proportion. What is the probability that the sample proportion will bewith +/- .03 ofthe population proportion? (NEED HELP WORKING IT OUT)