Please help me out with these answers expert, I am really appreciated! (with ti-84 calculator uses)

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0 C and a standard deviation of 1.00 C. A single thermometer is randomly selected and tested. If 1.6% of the thermometers are rejected because they have readings that are too high and another 1.6% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others. interval of acceptable thermometer readings = .C Round your answers to three decimal placesMajor League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert complied data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher's hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with mean I'/4 = 92.12 mph and a standard deviation of If = 2.43 mph. 4000 3000 counts 2000 1000 90 95 speed (mph) Compute the z-score of pitch with speed 91.3 mph. (Round your answer to two decimal places.) Approximately what fraction of these four-seam fastballs would you expect to have speeds between 91.7 mph and 96.5 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) Approximately what fraction of these four-seam fastballs would you expect to have speeds below 91.7 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) A baseball fan wishes to identify the four-seam fastballs among the fastest 19% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest Q0/71