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DTake a Test - Mark Dover Google Chrome Secure I https://www.mathdcom/Student/PlayerTest.aspx?testid=175367258&centeninayes; Math 224 Intro to Probability and Statistics Spring 2018 Quiz: Quiz2Online This Question: 1 pt Mark Dover 2/28/18 12:43 Time Remaining: 00-3207 Submit 11 of 15(6 complete) This Quiz: 15 pts po The random variable X is the number of color television sets owned by a randomly selected household with an annual income between $15,000 and $29,999 its probability diseribution is shown below. Complete parts a through c s Find and interpret the mean of the random varlable #x1(Round to three decimal place as needed ) Interpret the mean Choose the conmect answer below A. Asthe number of observations. n. increases, te mean ofthe observations wa spproach the mean of the random variable O B. As the number of observations n, decreases th* mean of the observations wiE approach the mean of the random variable O C. The observed value of the random variable will be equal to the mean of the random variable in most observations D. The observed value of the rando variable wil be less than the mean of the random variable in most observations b Obtain the standard deviation of the random variable e,'Roundtothree decimal place as needed ) c Draw a probability hishogram for the random variable Choose the correct graph below O A. OB. O c. Celor TVs Cick to select your answer s)

Explanation / Answer

a)

mean =1.639

  option A

b)

std deviation =1.255

c) option A

x p(x) xP(x) (x-)2 (x-)2P(x) 0 0.245 0.000 2.686 0.658 1 0.214 0.214 0.408 0.087 2 0.282 0.564 0.130 0.037 3 0.175 0.525 1.852 0.324 4 0.084 0.336 5.574 0.468 total 1 = 1.639 10.652 2= 1.5747 std deviation=     =    2 = 1.2549

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