What is the probability that on a given day there, Shelia will find defects? A 2-column table has 4 rows. The first column is labeled Defective parts: x with entries 0, 1, 2, 3. The second column is labeled Probability P (X) with entries 0.85, 0.10, 0.04, and 0.01.

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29-07-2024
Mathematics

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What is the probability that on a given day there, Shelia will find defects? A 2-column table has 4 rows. The first column is labeled Defective parts: x with entries 0, 1, 2, 3. The second column is labeled Probability P (X) with entries 0.85, 0.10, 0.04, and 0.01.

Answer :

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karmenchong karmenchong · Answer 1 · 2024-07-30T06:50:51-04:00

Answer:

Probability = 0.15

Step-by-step explanation:

To find the probability that on a given day there, Shelia will find defects, we can use this way:

[tex]\begin{array}{c|c}X&P(X)\\\cline{1-2}\\0&0.85\\1&0.10\\2&0.04\\3&0.01\end{array}[/tex]

It will be easier to find its opposite, which is Shelia will not find any defect - P(X=0), since there is only 1 probability for non-defect. Then we subtract the P(X=0) with 1.

Probability finding defects

= 1 - P(0)

= 1 - 0.85

= 0.15

Notes:

The other way to find the probability of finding defects is to total up all the probabilities with defect, which is P(X=1) + P(X=2) + P(X=3). However, for questions with X that is quite big, it will be too tedious to do the addition.