Suppose that 25% of the fire alarms in a large city are false alarms. let x denote the number of false alarms in a random sample of 100 alarms. approximate the following probabilities. (round all answers to four decimal ) p(20 ≤ x ≤ 30) = (b) p(20 < x < 30) = (c) p(x ≥ 30) = (d) the probability that x is farther than 2 standard deviations from its mean value