The Following Scores Were Obtained As Part Of A Sample

z-Scores and Probabilities1. The following scores were obtained as part of a sample from a normally distributedpopulation with mean 10 and standard deviation 2. For each score, find the appropriate zscore (round to 2 decimal places): a) X = 14: z =b) X = 8: z =c) X = 16: z =d) X =10: z =e) X = 6: z =f) X = 12: z =g) X = 4: z =h) X = 11: z =2. Each score listed below comes from a sample from a normally distributed population withthe indicated mean and standard deviation. Find the indicated probability (round to 2decimal places): a) X has mean 5, standard deviation 4. FindP( x &gt,8)b) X has mean 5, standard deviation 4. FindP(x &gt,2)c) X has mean 3, standard deviation 2. FindP(1. 2&lt, x&lt, 4. 5)d) X has mean 3, standard deviation 2. FindP(. 5&lt, x &lt,5. 5)e) X has mean 75, standard deviation 12. FindP(80&lt, x &lt,100)f) X has mean 75, standard deviation 12. FindP (50&lt, x&lt,70 )g) X has mean 75, standard deviation 12. FindP(x &gt,75)h) X has mean 0, standard deviation 1. FindP( x &gt,3)i) X has mean 0, standard deviation 1. FindP(x &lt,2)j) X has mean 0, standard deviation 1. FindP(?1&lt, x&lt,+1)k) X has mean 0, standard deviation 1. FindP(?2&lt, x&lt,+2)l) X has mean 0, standard deviation 1. FindP(?3&lt, x&lt,+ 3)