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MATH 218 Quiz 4 Solutions

# MATH 218 Quiz 4 Solutions - Math 218 Quiz 4 2 12/09 Show...

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Unformatted text preview: Math 218 Quiz 4 2/ 12/09 Show Your Work 1. Let Y be a continuous random variable with density function f}, (y) = 5y”5 for 1 S y S 00. 21) Find P(-1£ Y S 2). 2 . PcréYéI):?f§2?a ht'%@3:C>gvaaid and , ~ ' til”D DAV citlbmul 0V1 tetaxao d l 90 1; .1 ""L ‘ (a i 1 f? ’ >5Jiy_§i{7-%;_ :l:;i+(:a:ﬁfa b) Find em. a... .72 :5” 3 2. 52. n“ O“ , “ , - “’3‘" EhltgrﬁaﬁntStﬁasdr‘35°€ i~€'”]m “s _ a , l l l c) Find the standard deviation of Y. a: {I} TdUmfl‘A , Uni—(V) '= [SUI—{gykgclud/ ‘f‘: = \$571,421? — 0.2801 ,_ n r300 ' ,1 x ‘ “ 43%} II we) (oz—(Li) —<nzs~)1mmwaew 50 m, = W 1512.7 2. You have a small jelly bean jar on youere—sliar work and you ﬁlled it to the top Monday morning. On Monday, 40% of the beans were eaten. Of those that were left, 80% of them were eaten on Tuesday. Of those that were left 60% were eaten on Wednesday, and then all the rest were eaten on Thursday (note, no new jelly beans were ever added to the jar). Let X= the number of entire days a randomly chosen jelly bean sat in your jar. (So x = 0 means that the selected jelly bean was eaten on Monday since it did not sit in the jar for that entire day.) a) Find PX(X). (Hint drawing a probability tree may be helpﬁil.) ' l—€ MQJYﬂ-gb 305% M & WWWMWM - “V6 5:; = l W (a ﬂ . on ><-- 1 ' . ’ US :l : ‘ Mal“ gal-en T. 3 MAM a Li X10 "' '_“"‘ ' ' "" .CH‘S >03 i .Y O i l 7% - “5 ‘ﬂ . d (loacfcs‘) L (10¢) H H9? .079. .313; l b) Fiasco. ' ' " ECQ '1 8x610) I DUO + (UN) +2031?) +3C0kﬁ3s-ﬂw ally I: C) +1Lic6 “Fay-(Ll + olLiLi : L~J£i§ﬁm c) Find the standard deviation of X. - <1 2 Wk- 1* dual—m“ / 03.er3 r- (a: k aim “7%- ;‘LL r 2" .1 \$75 . h _ . , : 071% + 11013) + z. (.072) e «b (“(5) (i764 - 3:. . ._ ‘ r—HC’ 2L! 5 .: - 7 O-«LHyaLast + NB; sets a Q; {Eb 11.31 ‘.'S‘K‘i32l4 —.. 4016179, ' ...
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