Final answer:
The probability of having at least 6 defects can be calculated using the binomial probability formula.
Step-by-step explanation:
The probability that at least 6 out of a sample will have a mechanical defect can be found using the binomial probability formula.
The formula is given by:
P(X ≥ k) = ∑P(X = x)
Where X represents the number of defects, k represents the minimum number of defects, and P(X = x) represents the probability of getting x defects.
In this case, the probability of a mechanical defect is given as 0.01. So, let's calculate the probability of getting at least 6 defects:
P(X ≥ 6) = P(X = 6) + P(X = 7) + ... + P(X = n)
Where n is the total number of samples.
From the given information, we cannot determine the total number of samples, so we are unable to calculate the exact value. However, we can use a calculator or software to calculate the sum of probabilities using the binomial distribution function.