For the following box of tickets: 1 3 4 5 7 a ticket is taken at random and repl
ID: 3218260 • Letter: F
Question
For the following box of tickets: 1 3 4 5 7 a ticket is taken at random and replaced before taking another; this is repeated 100 times; a) what is the possible maximum sum of the 100 tickets? _____ b) what is the possible minimum sum of the 100 tickets? _____ c) what is the expected sum of the tickets taken? _____ d) what is the SD of the box? e) what is the SE of the sum? _____ The average SAT score in math is 500 with a standard deviation of 80. What is the probability that a randomly selected student got a score above 600?Explanation / Answer
a) possible maximum sum =100*7=700 (cause if 7 will be selected all 100 times)
b)possible minimum sum=100*1=100
c)expected sum=100*(1+3+4+5+7)/5=400
d)
std deviation =(20/5)1/2 =2
SE of the mean =2*(100)1/2 =20
for z=(X-mean)/std deviation
hence P(X>600)=1-P(Z<(600-500)/80)=1-P(Z<1.25)=1-0.8944 =0.1056
x (X-mean)^2 1 9 3 1 4 0 5 1 7 9 total 20 20 mean=total/5 4