**Unformatted text preview: **Patients receiving artiﬁcial knees often experience pain after surgery. The pain is measured on a subjective
scale with possible values of l to 5. Assume that X 15 a random variable representing the pain score for a
randomly elected patient. The following table gives part of the prob ' ' 'bution for X. x 1
P(X) .1 .2 .3 .3 .l . . . #3:,
...... ‘7 mm 23. Find the probability that the pain score is less than 3. P(x< 35-: Donny pan; = ,p +.z :g 24. Find the mean u for this distribution.(show the formula with values plugged in) ﬂy 2 |(-')+ 2(-?-) +345) + Lil-3S +$‘(.l) :— 3.! [\J
Lu
lb
[II 22. Find P(X = 5). 25. Find the variance for2 this distribution. (show2 the formula with values plugged in) =.--(| 3-0-6123 +(z—315(.z)+(33.1§¢33+ [(14—31)(3)+(c_3,)(,.5 (fa—(1;;Q" 12365 ((456 Cakula‘iw )WS‘i‘q’i‘s L1,”: 15 (Ia/(able) 2 . m e stan ev1ation for this distribution.
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i K 1: 0.13631 .2: i 13¢ 27. Suppose the pain scores for two randomly selected patients are recorded. Let Y be the random variable
representing the smn of the two scores. Find the mean of Y. ﬂyZ/ax‘l'ﬂxz’BWi-l-Bl— él 28. Find the standard deviation of Y. r-yﬁ—‘:W:Tz’7 ...

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