Your password in your company's ERP (Enterprise Resource Planning) System requires exactly eight characters. And each character is one of the of the 26 letters (a-z) or 10 integers (0-9). Let A denote the subset of passwords that begin with a vowel (either, a, e, i, o, u) and let B denote the subset of passwords that end with an even number (either 0,2,4,6, or 8) Suppose a hacker guessed that your password is in event A and B and selects a password at random from this subset. What is the probability that your password is hacked? а. 1 Оb. 1 1 d. None among the choices 368 5(367) (5)(5)(36°)

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Your password in your company's ERP (Enterprise Resource Planning) System requires exactly
eight characters. And each character is one of the of the 26 letters (a-z) or 10 integers (0-9). Let
A denote the subset of passwords that begin with a vowel (either, a, e, i, o, u) and let B denote
the subset of passwords that end with an even number (either 0,2,4,6, or 8)
Suppose a hacker guessed that your password is in event A and B and selects a password at
random from this subset. What is the probability that your password is hacked?
1
b.
1
1
d. None among the choices
a.
C.
368
5(367)
(5)(5)(366)
Transcribed Image Text:Your password in your company's ERP (Enterprise Resource Planning) System requires exactly eight characters. And each character is one of the of the 26 letters (a-z) or 10 integers (0-9). Let A denote the subset of passwords that begin with a vowel (either, a, e, i, o, u) and let B denote the subset of passwords that end with an even number (either 0,2,4,6, or 8) Suppose a hacker guessed that your password is in event A and B and selects a password at random from this subset. What is the probability that your password is hacked? 1 b. 1 1 d. None among the choices a. C. 368 5(367) (5)(5)(366)
Consider the tree diagram below. Let, S denote the event that the component has Surface flaw.
Let, D denote the event that the component was Defective.
Determine the probability: P(D|S')
Surface flaw
360
No
400
40
Yes
400
Defective
342
No
360
18
Yes
30
No
40
10
Yes
40
360
а. 342
360
b. 18 Ос. 10 Od. 30
360
40
40
Transcribed Image Text:Consider the tree diagram below. Let, S denote the event that the component has Surface flaw. Let, D denote the event that the component was Defective. Determine the probability: P(D|S') Surface flaw 360 No 400 40 Yes 400 Defective 342 No 360 18 Yes 30 No 40 10 Yes 40 360 а. 342 360 b. 18 Ос. 10 Od. 30 360 40 40
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