Question: Using Binomial Distribution Formula \[P(x)={}_{n}{{C}_{x}}{{p}^{x}}{{q}^{(n-x)}}\]

An unfair coin (weighted) is flipped 3 times. The probability of getting a head is \[0.42\]. Use the Binomial Formula to calculate the following (keep your answers as fractions or round to 3 decimal places):

(a) The probability of getting exactly three heads.

(b) The probability of getting fewer than three heads.