Question

3. The Jordan Sports Equipment Company finds that 10% of the general population is left-handed. Use the binomial table or formula (bottom) as appropriate in answering the following questions. (a) If 20 people are randomly selected, find the probability that exactly 3 of them are left-handed. (b) If 8 people are randomly selected, find the probability that at least one of them is left-handed.

Answer 1

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Company finds that 10% The Jordan Sports Equipment of the general population is left-handed. We have to use binomial formula for further questions pl left-handed population) a) 20 people are randomly selected, we have to find the probability that exactly 3 of them left-handed core ) Here, n = 20 pool q=0.9 We have to use binomial formula plexactly 3 are left handed) = (0-1)} (0-3) 17. 20 | xo.o0lX0.166 17131 = 20419418 3X 2 x 1 xo.ool x 0.166 3 are selected 0.190 :. Probability that exactly left handed people from a sample of 20 is 0.19 b) 8 people are sandomly selected, we have to find the probability at least one of them at least one of them no on left hang di telected] + Plone is selected is left handed Pla 1- is affected of them one left handed CS Scanned with CamScanner

Here Prool q=0.9, n=8 + p(at least one of them is selected) = 1-( 8 co( pjo q8 8(P) 27 T 7 = 1- {1x(0.1°(0.98 + 8x 8x (0:1)'(09 |10.1° - [ 0.4304 =1 0.4304 + 0.3826 826) -1 0.81303 = 0.1869 If 8 people are are sandomly selected, hence, the probability that at least one of them left-handed 0.187. is 15 C

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