Question

(1 point) Two points along a straight stick of length 38 cm are randomly selected. The stick is then broken at those two points. Find the probability that all of the resulting pieces have lenght at least 4.5 cm. probability =

Answer 1

Solution Coven that Teio pornsh alonga a traight stick of length - 36cm Probability of all resulting piecen have Length at least 4-5cm - 2 Let us assume Wand I are th two points Then, f(wit) gr ket, az mincw, ) y = mai(w,2) 1. fa,y) = logo Area of the regions 277'5, -234.5, 38-y 745 274.5,9741571, «:33:5 The range of g from 243 U from 15 to 38 -45-415:29 Then, P (a, b) for Integral from a tob fcarb) for evaluations from a fos Ędifferentiation

Then Pakabilly 2 (415,979 (at45, 335) C/32) Prydla en 1 (4:324) 4 (2+ 4,5, 33.5) de 4.5,29) E (x+ 415,3315) de por $(4.5) 89) 15- 20k = 2; 992 - (4.5,7) [put 1:29] (aqc99)- x 20'-(296415 )-14:55) (4 20 5 – 120 376 X 300-125 E : 600125 Thanh Probability = 0.4157) Thin is the required probability that all of the resulting pieces have length at least cpscm