1) If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then \(\displaystyle{P}{\left({A}\cap{B}\right)}=?\)

2) An experiment consists of four outcomes with \(\displaystyle{P}{\left({E}_{{1}}\right)}={0.2},{P}{\left({E}_{{2}}\right)}={0.3},\) and \(\displaystyle{P}{\left({E}_{{3}}\right)}={0.4}\). The probability of outcome \(\displaystyle{E}_{{4}}\) is ?

3) If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then \(\displaystyle{P}{\left({A}\cap{B}\right)}=?\)

4) The empirical rule states that, for data having a bell-shaped distribution, the percentage of data values being within one standard deviation of the mean is approximately

5) If a penny is tossed four times and comes up heads all four times, the probability of heads on the fifth trial is ?