Please check my work. If wrong please correct and help me to understand. I as always am so grateful for your help!

Q:At the 2019 US Open tennis tournament a statistician kept track of every serve. The statistician reported that the mean serve speed of Serena Williams was 95 miles per hour (mph) with a standard deviation of 11 mph. Assume the distribution of Serena's serve speeds isnormally distributed. (22points)

a. Between what two values can you expect to find (the middle) 99.7% of serves delivered by Serena at the US Open?(5points)

62 and 128

b. What percent of Serena's serve speeds should you expect to be more than 1 standard deviation away from the mean?(5points)

17% ?

c. If Serena served 220 times during the US Open, how many of her serves would you expect to be between 73 mph and 117 mph?(6points)

73-95= -22 /1=-2

117-95=22/11=2

97%

d. If Serena served 220 times during the US Open, approximately how many of her serves would you expect to be faster than 106 mph?(6 points)

95 mean

-1 sd = 84 1 sd= 106 used distribution bell to find 15.85 16 serves

-2 sd= 73 2 sd=117

-3 sd=62 3 sd=228