Which graph represents the compound inequality? –3 < n < 1
2 answers:
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<h2>Answer:</h2>
The probability that a defective component came from shipment II is:
Let A denote the event that the defective component was from shipment I
Also, P(A)=2%=0.02
and B denote the event that the defective component was from shipment II.
i.e. P(B)=5%=0.05
Also, P(shipment I is chosen)=1/2=0.5
and P(shipment II is chosen)=1/2=0.5
The probability that a defective component came from shipment II is calculated by Baye's rule as follows:
Hence, the answer is:
Given data is 54, 59, 35, 41, 46, 25, 47, 60, 54, 46, 49, 46, 41, 34, 22
Arranging it in increasing order:
22 25 34 35 41 41 46 46 46 47 49 54 54 59 60
Number of data items, n=15.
Finding Median, First Quartile, and Third Quartile
22 25 34 35 41 41 46 46 46 47 49 54 54 59 60
Now finding First Quartile from set: 22 25 34 35 41 41 46
Q₁ = middle term i.e. 35
Now finding Third Quartile from set: 46 47 49 54 54 59 60
Q₃ = middle term i.e. 54
So we have Q₁ = 35, M = 46, and Q₃ = 54. Lower bound is 22 and Upper bound is 60.
While drawing the given data on number line and marking First quartile, Median, Third quartile on number line. We can clearly observe that option A matches with given data points.
Hence, option A i.e. Box-plot A is the correct choice.