The histograms shown below represent binomial distributions with the same probability of success p but different numbers of trials n. Match each value of n with the correct graph. Explain your reasoning. What happens as the value of n increases and p remains the same?
n = 4, n = 8, n = 12
(a)

(b)

(c)

Px) 0.40 0.30- 0.20 0.10 0 2 4 6 8 10 12 PEx) 0.40 0.30 0.20 0.10 0 2 4 6 8 10 12 Plt) 0.40 0.30 0.10 0 2 4 6 8 10 12