Look at the histogram of probabilities in the binomial distribution template for the case n = 5 and p = 0.6.

a. Is this distribution symmetric or skewed? Now, increase the value of n to 10, 15, 20, . .. Is the distribution becoming more symmetric or more skewed? Make a formal statement about what happens to the distribution's shape when n increases.
b. With n = 5, change the p value to 0.1, 0.2, . . . Observe particularly the case of p = 0.5. Make a formal statement about how the skewness of the distribution changes with p.

Transcribed Image Text:

1 Binomial Distribution Mean Variance Stdev 0.6 12 3.095445 x P(Exactly x) P(At most x) P(At least x) 0 1.0000 0.9898 0.0102 0.0870 0.2300.6630 0.3370 0.0102 0.0768 P(Exactly x) 0.4000 2 0.3174 0.34689222 .0778 0.6826 0.3500 0.2592 0.0778 780.3000 1.0000 0.2500 0.2000 0.1500 0.1000 0.0500 0.0000 0 2 3