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a) Define the conditions of applying the DeMoivre-Laplace (the normal) asymptotic
approximation for the hinomial random variable. Also, tell, what is this approximation's mean
and standard deviation. 3 b) A high woltage impulse test is applied to a power distribution cable
10 tines. The probability that the cuble can endure the impulse in one trial is 0.2 . The cable will
not pass the test if the first endurance failure is observed in the 77h,8th or 9th trial. What is the
probability that the cable will not pass the test? [6]

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  • 1. a) Define the conditions of applying the DeMoivre-Laplace (the normal) asymptotic approximation for the hinomial random variable. Also, tell, what is this approximation's mean and standard deviation. 3 b) A high woltage impulse test is applied to a power distribution cable 10 tines. The probability that the cuble can endure the impulse in one trial is 0.2 . The cable will not pass the test if the first endurance failure is observed in the 77h,8th or 9th trial. What is the probability that the cable will not pass the test? [6]