A department store sells sport shirts In three slzes (small, medlum, and large),

Question

A department store sells sport shirts In three slzes (small, medlum, and large), three patterns (clald, print, and st lpe, and two sleeve lengths long and short). The accompanying tables glve the proportions of shirts sold In the various cetegory combinatlons Short-sleeved Patterrn Pr 0.02 0.05 0.08 0.12 Size PI St 0.04 0.05 Long-sleeved Pattern Pr 0.03 0.02 0.03 0.08 .00.07 Size PI St a) What Is the probablity that the next shirt sold is a medlum, long-sleeved, print shirt? (b) What is the probability that the next shirt sold is a medium print shirt? short-sleeved shirt? A long-sleeved shirt? ( what is the probability that the next shirt 50 d is short-sleeved shirt long-sleeved shlrt (d) What Is the probability that the size of the next shirt sold is med um? What is the probability that the pattern of the next shirt sald is a print? (e) Glven that the shirt just sold was a short-seeved plald, what Is the probacility that Its size was medium? (Round your answer to three decimal places. ( Given that the shirt Just sold was a medium plaid, hat is the prcbability that it was short-sleeved? Long-sleeved? Round your answe ta three decimal places.) short-sleeveu

Explanation / Answer

a)

P(medium ; long sleeved ; print shirt) = 0.09

b) P(medium print) =0.08+0.09 =0.17

c)

short sleeved =0.54

long sleeved =0.46

d)

P( medium) =0.25+0.24 =0.49

P(print) =0.17+0.13 =0.30

e)

probability =0.05/0.12 =0.417

f)

short sleeved =0.05/(0.05+0.08)=0.385

long sleeved =0.08/(0.05+0.08)=0.615

short long Pl Pr st Total Pl Pr st Total S 0.04 0.02 0.05 0.11 S 0.03 0.02 0.03 0.08 M 0.05 0.08 0.12 0.25 M 0.08 0.09 0.07 0.24 L 0.03 0.07 0.08 0.18 L 0.04 0.02 0.08 0.14 Total 0.12 0.17 0.25 0.54 Total 0.15 0.13 0.18 0.46

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.