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

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7.101 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. Give approximations to 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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