Hello, I need help with solving these percentages.

-Thank you

2. 0n the SAT, the mean is 500 points and the standard deviation is 100 points. Assume the scores are normally distributed Label the graphic below using the mean and standard deviation, then use the percentages in the graphic to answer the following questions. uBG uZo po p u+o u+2cr ,___tl:_l:2t._ 200 300 400 500 600 700 5 5 3. Patrick scores 800 points. This score puts him at what percentile? b. What percentage of students taking the same exam would score higher than Patrick? _ c. What percentage of students taking the same exam would score lower than Patrick? __ d. What percentage of students would score below 500? ll Step-by-Step: Normal Cupcakes In this Step-by-step assignment you'll be approximating the number of acceptable cupcakes emerging from a cupcake machine on a daily run. Step Instructions Results, including your work The mass {in grams) of each cupcake is tallied over the course of many days of operation of the cupcake machine, forming 0 551 afdota that has a normal distribution. Any cupcakes that are too bigI or too smali will be rejected. 1 Write down your large integer and your small integer from the Week 1: Select individuaiized Numbers assignment. y, = mean = your large integer = Use your large integer as the mean of the mass of each cupcake emerging from the machine. a = std. dev = small integer = Use your small integer as the standard deviation of the mass of each cupcake. 2 Label the normal curve below using the mean and standard deviation for your cupcake masses. {label the normal curve belawl 3 Calculate the mass of a cupcake that would be two standard deviations below the mean. Also calculate the mass of a 11-26 = cupcake that would be two standard deviations above the mean. pI-Zc = 4 Calculate the peroentage of cupcakes with a mass within two standard deviations ofthe mean. p = percentage between 11-26 and p+2cr = 5 Convert the percentage to a fraction {out of 1) by dividing by 100. f = fraction = pleO = 6 The actual number of cupcakes produced by the machine one day is N=1OD,000. Estimate how many cupcake will have a How many = N*f = mass in the acceptable region within two standard deviations of the mean. SUCCESS [1730' u 2c: \"-6 \"+6 u+2o [1+36