Solve all with a breif reason please

T F Suppose you have a lunch reservation at de Seversky Mansion, NYIT You flip a fair coin to decide whether to walk there or drive there. Walking takes 30 min while driving takes 10 min. After you arrive, you flip a fair coin again and decide whether to give up dessert. Your meal time is 30 min with dessert and 20 min without. The expected total time you need for lunch break is 40 min. TF Let X and Y be random variables that count the number of heads and tails when a fair coin is fipped twice. Then, E(X-Y)-E(X) E(Y) Suppose E is the event that a randomly generated 3-bit string begins with a 1, and F is the event that this bit string contains an even number of Os. If the 8 strings are equal probable, E and F are independent. TF A bit string of length 4 is generated at random so that each of the 16 strings of length 4 is equally likely least two consecutive Os, given that its first bit is a 0, is 3/8. T F The probability that it contains at T F Arandom variable is a variable in the sample space of a random experiment