so from the given information we have that the poverty of the hate of P is given by .5. And the total numeral of the term job is 400 times. And we have that in Tempe is 200 and what ‘s the square root of N. P. Tom 1 -4. Will be 10. so um we can find that Z. Y. You of the poverty of the lead and tell that will be egg minus nurse practitioner divided by square road. Np tampon men sp All these X -200 divided by 10. so far as we have that We want to find the credibly that X is between 184 And 212. And that equals to the puppy that um Z is between 184 -200 divided by 10 And 212 -200 divided by 10. And that would be credibly that Z Less than or equal to 1.2 minutes. The property that Z is less than or equal to. Um I mean that ‘s 156 And we can use the normal curvature and that will be .88 for nine minutes .0548. artist Point every 01 For part B. We have want to find a poverty that X is between two lead by four Through it and 4.5 And 205.5. So we use this subject that will be the poverty that Z is between Tune in 4.5 -200 justly by 10 And 205 5 -200 divided by 10. Or it is credibly that Z. Y. You is less than or co 2.55. My master poverty that Z is less than or equal to 0.45 Or it .7088 -9736. All .0352 hang part C. We had Well we want to find the poverty that eggs less than 125 plus. The probability that X is greater than 224. And that will be the poverty that X is less than 175 plus one minus. The poverty that X is less than or adequate to 224. So that will be poverty that Z.Y. You is less than 175 -200. There were two ten 10 Plus one. My nest the property that Z is less than All I got to. 220 for my future 200 divided by 10. Oh it is probably that C is less than minus 2.5 plus one minus. The probability that Z is less than or equal to 2.4. So that would be pi 0062 plus one minus private detective 9918. And that will be .01 44. so this will be the last answer. And these are all of the answer for this question.