The sales department of Thompson Drug Company released the accompanying data concerning the sales of a certain pain reliever manufactured by the company.Pain RelieverPercent of Drug SoldPercent of Group Sold in Extra-Strength DosageGroup I (capsule form)0.60.35Group II (tablet form)0.40.3If a customer purchased the extra-strength dosage of this drug, what is the probability that it was in capsule form? (Round your answer to 3 decimal places.)

Question
Asked Oct 25, 2019
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The sales department of Thompson Drug Company released the accompanying data concerning the sales of a certain pain reliever manufactured by the company.

Pain Reliever Percent of Drug Sold Percent of Group Sold in Extra-Strength Dosage
Group I (capsule form) 0.6 0.35
Group II (tablet form) 0.4 0.3

If a customer purchased the extra-strength dosage of this drug, what is the probability that it was in capsule form? (Round your answer to 3 decimal places.)

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Expert Answer

Step 1

Drawing a tree diagram

Let C denotes CAPSULE, T denotes tablet and E denotes Extra dosage

The data is shown in the tree diagram itself

E
0.35
С
C
0.6
= 1 - 0.35 = 0.65
с
E
0.3
т
T
0.4
= 1 - 0.3 = 0.7
T
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E 0.35 С C 0.6 = 1 - 0.35 = 0.65 с E 0.3 т T 0.4 = 1 - 0.3 = 0.7 T

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Step 2

If a customer purchased the extra-strength dosage of this drug, probability ...

x P(C)
P
0.35 x 0.6
7
P
0. 636
E
11
P X P(C)P P(T)0.35 x 0.6 + 0.3 x 0.4
T.
AL
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Image Transcriptionclose

x P(C) P 0.35 x 0.6 7 P 0. 636 E 11 P X P(C)P P(T)0.35 x 0.6 + 0.3 x 0.4 T. AL

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