The shooter shoots at the target three times. The probability of hitting each shot is 0.75. Draw up the distribution

The shooter shoots at the target three times. The probability of hitting each shot is 0.75. Draw up the distribution law of a random variable X- the total number of hits

Hit probability with one shot: p = 0.75; the probability of a miss q = 1 – p = 1 – 0.75 = 0.25;
Probability that the shooter missed three times:
P (0) = q * q * q = 0.25 0.25 * 0.25 = 0.01563;
The probability that one of the shots hits the target:
P (1) = p * q * q + q * p * q + q * q * p = 0.75 * 0.25 * 0.25 + 0.25 * 0.75 * 0.25 + 0.25 * 0.25 * 0.75 = 0.1406;
The probability that two shots hit the target.
P (2) = p * p * q + p * q * p + q * p * p = 0.75 * 0.75 * 0.25 + 0.75 * 0.25 * 0.75 + 0.25 * 0.75 * 0.75 = 0.422;
Probability that all shots hit the target:
P (3) = p * p * q = 0.75 * 0.75 * 0.75 = 0.4219.