Suppose that 25% of the fire alarms in a large city are false alarms. Let x denote

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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:
a. P(20 ≤ x ≤ 30)
b. P(20 < x < 30)
c. P(x≥ $ 35)
d. The probability that x is farther than 2 standard deviations from its mean value.
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