Hi, could you please help me solve this

Below are 50 reported unordered independent realisations of a U[0,1]variable rounded to 3 decimal places. The top row contains the values U1,...,U10 , the second row contains the values U11....,U20 etc. 0.428 0.024 0.043 0.1 11 0.765 0.391 0.275 0.247 0.415 0.146 0.036 0.250 0.134 0.086 0.051 0.195 0.333 0.429 0.257 0.297 0.876 0.126 0.257 0.000 0.777 ii) 0.422 0.777 0.222 0.444 0.888 0.360 0.666 0.793 0.104 0.930 0.373 0.228 0.552 0.340 0.973 0.079 0.491 0.555 0.413 0.232 0.251 0.333 0.444 0.335 0.997 Perform a runs test on all these data (r.l1,...,:u50 in sequential order) to examine whether or not you would have reason to reject the hypothesis that they are a truly random sequence of unordered independent variables. Test at the 5% signicance level. Comment on the adequacy of this test. Do you believe there are any grounds to believe the values are not truly random independent realisations of a U[0,1] variable? Hints: If A is the number of runs in a random sequence of length n, then E(A) z 2\" _1,Var(A) z 16" '29 90 1.96 1 _ Also, I e 2dx=0.95. 435 J21