Let the two primes p = 41 and q = 17 be given as set-up parameters for RSA. 1) Which of the parameters e1 = 32, e2 = 49 is a valid RSA exponent (i. e., is a valid public key, e1 or e2)? Justify your choice. 2) Compute the corresponding private key Kpr = (p, q, d). Use the extended Euclidean algorithm for the inversion and point out every calculation step.

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Select all the correct locations on the table. consider the following expression. 76.493 select "equivalent" or "not equivalent" to indicate whether the expression above is equivalent or not equivalent to the values or expressions in the last column equivalent not equivalent 343 equivalent not equivalent 49 78.498 78.498 75.493 equivalent not equivalent 75.7 equivalent not equivalent

Study results indicate that the mean length of time people spend on a bus in a city is between 21.2 min and 24.5 min what is the study margin of the error?