We write a computer program to generate 8-character passwords. Each character is

Question

We write a computer program to generate 8-character passwords. Each character is equally likely to be any of 26 letters or 10 digits (i.e. one of 30 possible characters). Assume that there is a condition that the password must haw a least one digit. What is the probability that our password generator will produce a valid password? 0.074 0.722 0.948 0.052 0.926 A programmer is having his work assessed by having 100 randomly selected lines of her code scrutinized. The random variable X, representing the number of errors in the 100 lines of code, has the following probability distribution: If the employer pays the programmer a bonus of 500 dollars minus 3.5 times of number of errors found, then what is the expected bonus for this programmer, in dollars? 490.55 400 333.33 425 347.23 Each item are tested by two quality control engineers. If a flaw is present, then the first inspector will identify it with a probability of 0.95, while the second inspector will identify it with a probability of 0.75. Conditional on a flaw being present, assume that the conclusions of the inspectors are independent of each other. If both inspectors test an item with a flaw, what is the probability that at least one of the two quality control engineers will identify the flaw? 0.7125 0.9957 0.9875 0.97,53 0.8753

Explanation / Answer

5) 1ST WE WILL CALCULATE THE EXPECTED NUMBER OF ERROR'

E(X) = X1*P(X1) + X2*P(X2)+.....+XN*P(XN)

NOW E(X) = 2*0.5 + 3*0.3+4*0.2 = 2.7

THE TOTAL DEDUCTED = 3.5*2.7 = 9.45

HENCE TOTAL PAYMENT = 500 - 9.45 = 490.55

HENCE OPTION A IS CORRECT.

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