Adina owns Yogi’s Yogurt in Fort Smith, Arkansas. Adina sell…

Adina owns Yogi’s Yogurt in Fort Smith, Arkansas. Adina sells the yogurt shop to Dagmar. The contract for the sale of the business includes a clause that prohibits Adina from owning or working in any restaurant in Arkansas for two years from the date of the sale. One year after the sale is completed, Adina opens a steakhouse in West Memphis, Arkansas, which is 300 miles from Fort Smith. If Dagmar sues Adina for breaching the terms of the contract:

 Your job as the research director in the Alabama Department…

 Your job as the research director in the Alabama Department of Youth Services is to advise the Director which policies to follow. In the past, you have heard that some institutions have had as many as 80 disturbances in a year.  The average number of disturbances (riots, stabbings, fights, etc.) per year per institution, though, is 35, with a standard deviation of 7.0.  The distribution is normal.  Answer the following questions.   a) What is the z-score for an institution that had 40 disturbances in one year?  What does this z-score indicate?   b) You want to give raises to the wardens in the prisons that have disturbances in the bottom 15% of the distribution, and fire the wardens in prisons in the top 15%.  What number of disturbances will be the cut-off for each of these decisions?   c) What is the probability that an institution would have 40 or more disturbances?   d) What is the probability that an institution would have 36 or fewer disturbances?