MTH 266-FA17 (CAN 4948) Test: Chapter 4 Test Time Remaining 00 42-32 Sub This Qu

Question

MTH 266-FA17 (CAN 4948) Test: Chapter 4 Test Time Remaining 00 42-32 Sub This Question: 1 pt 50f 20(11 complete) This Test: 20 pts p Sludents in a class take a quiz with eight questions. The n Px) 0.03 001 006 0.08 012 023 026 0.14 07 (a) Use the probeblity distribution to tnd the mean of the probability deribution -D(Roundtothe roarest terth as needed j b) Use the probability distrbution to find the variance of the probability detribution Round to the nearest tort, as needed) number x of questions answered ) use he potablity distributor, to snd tho standard deration of probabity doerbton pound the newest with as needed ) (d) Use the probability dist-bution to Snd the expected value of the probsblity detributien (Round to the nearest tenth as needed) (e) Interprot the results The xpected number of quesions answered correctly is 3.3 wth a B. A standard divaton of 1 8-tors Th* expected number of questons answered onecny is S , wth C The expected number of questions answered cornectly is D questons answered & 1 with a slandand deviation of .b comecty is 1 8 with a standard deviston of$1 qvesbona The expected number of Click to seiect your answerts 8 7 9 3 4 5 2

Explanation / Answer

a) Mean = X*P(X) = 0*0.03 + 1*0.01 + 2*0.06 + 3*0.08 + 4*0.12 + 5*0.23 + 6*0.26 + 7*0.14 + 8*0.07 = 5.1

b) sigma^2 = (X-mean)^2 * P(X) = 3.3

c) sqrt(sigma^2) = sqrt(3.33) = 1.8

d) expected vlaue is the mean

5.1

e) Option B

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