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Q: What is the average velocity of atoms in 2.00 mol of neon at 308 K?
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The half-life of F-20 is 11.4 seconds When there are 200 atoms of F-20 in a sample a scientist starts a stopwatch The scientist stops the stopwatch at 34.2 seconds there are atoms of F-20 re?

Atomic decay is a random phenomenon whose distribution is exponential (generally). Thus if the average lifetime is t0 and you wait a time t, the probability that a single atom decay is p=(1-exp(-t/t0)) Thus if you have N atoms, the average number of atoms that decay in the tine t is <N> = N0 (1-exp(-t/t0)) where N0 is the initial number. naturally in a specific experiment the real number of atoms that decay in a time t will not be exactly <N>, this is only the average number over a potentially infinite number of experiments. However, greater N0, more likely the number of atoms observed in a specific experiment will be near to <N>. In your case <N>=188.1 and the expected deviation is of the order of 13, thus the result could fluctuates with high probability between 200 (that is all decay) and 162 (2 sigma point).