Question

Page of 2 ZOOM + C Sear MATH D116 ACTIVITY 4.2 B For this tivity we will talk about random was and ability to 1. An old with and we will stille slippelfowi. Xutlewe of each flipped and the probability day functions for X (Depily or ww)

Answer 1

Binomial Distribution

n = 4

p = 5/6

q = 1 - p = 1/6

Probability Density Function of X = Number of heads is given by:

Number of heads (x)	Probability (p)
0	$\binom{4}{0}\times (\frac{1}{6})^{4}\times (\frac{5}{6})^{0}$
1	$\binom{4}{1}\times (\frac{1}{6})^{3}\times (\frac{5}{6})^{1}$
2	$\binom{4}{2}\times (\frac{1}{6})^{2}\times (\frac{5}{6})^{2}$
3	$\binom{4}{3}\times (\frac{1}{6})^{1}\times (\frac{5}{6})^{3}$
4	$\binom{4}{4}\times (\frac{1}{6})^{0}\times (\frac{5}{6})^{4}$