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Whitepunk [10]
2 years ago
14

The sum of a number b and 3 is greater than 8 and less then 12

Mathematics
1 answer:
snow_lady [41]2 years ago
4 0
The sum of a number b and 3 is greater than 8 and less than 12 <span>=> b + 3 < 8
=> b + 3 > 12

</span> <span>Now, let’s combine this into an expression:
=> 8 < b+3 < 12
=>  (8 - 3) < b < (12 - 3)
=> 5 < b < 9
Thus, the answer in the given situation is 9 because 9 is greater than 8 but less than 12.

</span>



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11111nata11111 [884]
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  (a) For exactly 3 defective computers, we need to find the calculate the probability of 3 defective computers with 17 good computers, and then multiply by the number of ways we could arrange those computers. So

 0.05^3 * (1 - 0.05)^(20-3) * 20! / (3!(20-3)!)

 = 0.05^3 * 0.95^17 * 20! / (3!17!)

 = 0.05^3 * 0.95^17 * 20*19*18*17! / (3!17!)

 = 0.05^3 * 0.95^17 * 20*19*18 / (1*2*3)

 = 0.05^3 * 0.95^17 * 20*19*(2*3*3) / (2*3)

 = 0.05^3 * 0.95^17 * 20*19*3

 = 0.000125* 0.418120335 * 1140

 = 0.059582148

  (b) For this problem, let's recast the problem into "What's the probability of having only 0 or 1 defective computers out of 4?" After all, if at most 1 defective computers have been found, then a fifth computer would need to be tested in order to attempt to find another defective computer. So the probability of getting 0 defective computers out of 4 is (1-0.05)^4 = 0.95^4 = 0.81450625.

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 = 0.171475

 
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