Secure I https//www.rmatiudcom/Student/PlayerTest.aspx?testid-164 17misaeenterve

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Secure I https//www.rmatiudcom/Student/PlayerTest.aspx?testid-164 17misaeenterven Math 274 Section 05 Test: Chapter 4 Submit Test This Question: 1 pt This Test: 11 pts possibie 3 of 11 (4 complete) Find the indicated probabilities uning the geometric distribution, the Polsson destribution, or the binomial distribution Then detemine i the evets are unussal convenient, use the appropriate probability table ee technology to find the probabilities Satty-eight peecent of parents would give up cable television to have their childs education paild for You randomly sekect five parents Find the probablity that the number of parents who would give up cable television to harve their childs education paid for is (a) exactly three, (b) less than four, and (e) at least three (Round to three decimal places as needed ) b) P(less than four) Round to three decimal places as needed) (c) P(at least three)" Round to three decimal places as needed) which o·the events are unusual? Select all that apply A. The event P(3) is unusual B. The event Pless than tour) is unsual C. The event P(at least three) is unusual D. None of the events are unusual Click to select your answer(s) 5 6 7 8 0 RTY UOP

Explanation / Answer

Ans:

Binomial distribution with n=5,p=0.68

P(x=k)=5Ck*0.68k*(1-0.68)5-k

a)

P(x=3)=5C3*0.683*0.322=0.322

b)

P(x<4)=P(x<=3)=1-P(x=4)-P(x=5)=1-5C4*0.684*0.321-5C5*0.685*0.320

=1-0.342-0.145=0.513

c)P(atleast 3)=P(x>=3)=5C3*0.683*0.322+5C4*0.684*0.321+5C5*0.685*0.320

=0.322+0.342+0.145=0.809 (try 0.810 too)

x P(x) 0 0.0034 1 0.0357 2 0.1515 3 0.3220 4 0.3421 5 0.1454

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