Coursepack, p. 631 MAT 133: 7.2 WS 4 p.3 3. The average annual number of jobs available for registered nurses (RN) is normally distributed with a mean of 103,900 and a standard deviation of 8040. (For each part - Shade and label appropriately; Give 4 decimal places and P(X) notation from StatCrunch, circling the answer; Give units, where appropriate). (Source) a. P(X > 110, 000) and interpret the value in the context of the situation b. Find the probability that more than 83,000 but less than 101,000 RN jobs are available c. Suppose there is a 5.3% chance that less than X amount of jobs are available. Find X (round to nearest whole number). Coursepack, p. 630 MAT 133: 7.2 WS 4 p.2 2. In 2013, the amount college students charged annually on credit cards was normally distributed with a mean of $3156 with a standard deviation of $623. This distribution is shown below with some areas shaded that are NOT equal in size. (Source) a. Find the three missing pieces of the graph of this distribution below (Give 3 decimal places for areas. Round X2 to the nearest whole number.) A1= A2= A3=0.054 1000 1500 2000 2500 3000 3500 4000 4500 5000 5500 X1=2578 X2= b. Provide two interpretations of X and A in the context of the situation. (One using proportion, one using probability; Give units).