\(The probability that a customer does not shop online is 0.65 (since 1 - 0.35 = 0.65).\)

The probability that none of the n customers shop online is given by:

(0.65)^n

We want the probability that at least one customer shops online to be greater than 0.95:

1 - (0.65)^n > 0.95

Rearranging gives:

(0.65)^n < 0.05

Taking logarithms on both sides:

n \log(0.65) < \log(0.05)

Solving for n gives:

\(n > \frac{\log(0.05)}{\log(0.65)} \approx 6.95\)

Therefore, the least integer value of n is 7.