If could briefly explain and answer the question, also please make the handwriting easy to read. Also use this link to answer questions B and C https://homepage.divms.uiowa.edu/~mbognar/appletsormal.html

Problem 1. A labor union is considering a vote to strike. In order for the vote to pass, a minimum of 80% of the votes need to be in favor of the strike. In reality, 88% of the union members support a strike. The union leadership doesn't know this, though, and want to get an idea of where the general union body stands. They organize a random sample of 50 union members and conduct a quick poll, asking the sample whether they would vote yes for a strike. (a) What do we know about the distribution of all possible sample propor- tions? What is the mean and standard error for the sample proportions? What assumptions have we met? Are there any assumptions that we haven't met? It is normally distrubted since we do know the sample of 50. mean: 880%. SE: 1 88 ( 1 -. 88 ) 10459 50 our sample is big enough with the # of observations that we have, so their is ho assumptions that we haven't met, (b) What is the probability that in that random sample of 40 union members, yo 32 or more will vote yes? Sketch the appropriate distribution and shade in the area representing this probability. 4 = 18 P ( x ) 2: 89 = 1025 2 . 5 16 X =. 89. SE (c) What is the probability that in that random sample, the proportion of worked supporting a strike is less than 75%? Sketch the appropriate distribu- tion and shade in the area representing this probability. X = 184 If P = 759 X = 184