Statistics I20805 marksNumerical: Binomial distribution probabilityDiscrete distributions
Define binomial distribution. Under what conditions is the binomial distribution appropriate? The probability of a novice archer hitting the target with any shot is 0.3. Given that the archer shoots six arrows, find the probability that the target is hit at least once.
Define binomial distribution. Under what conditions is the binomial distribution appropriate? The probability of a novice archer hitting the target with any shot is 0.3. Given that the archer shoots six arrows, find the probability that the target is hit at least once. [5]
- Probability of success (hit) per shot: $p = 0.3$ - Probability of failure (miss): $q = 1 - 0.3 = 0.7$ - Number of independent trials (arrows): $n = 6$ - Required: $P(\text{at least one hit}) = P(X \ge 1)$ All required data present. A binomial distribution is a discrete probability distribution ...