Tha test scores of 32 students are Istoed Eeiow. 32 37 41 44484 53 55 5 57 59 63

Question

Tha test scores of 32 students are Istoed Eeiow. 32 37 41 44484 53 55 5 57 59 63 65 6 68687071747475 73 78 19 80 82 83 86 Find P46 b) What is the differance batween suarring a score of and bei the 46th patentile 5) In acentain bowt of M&M; candies tmere are 10 yeliow plain ones S orange peord oren & yalkoww paanut ornes, 5 green peueut oenes, 3 orange plain oss and S gren plain ones What is the probabilty that a) the selectod candy will be green bi the elocted candy will be plain? c) the selected candy will tse borth green and plain? d) the selected candy will bu either n or plant the sekected candy will te green, given thot it is plein 1 the selected candy will te plain, given that lt is green? 8) lif someone selects tiso candies from the bowl, that they will both be crange h) If somiono selots thro, candles from, the bowl-that that at least aed them s yeow? 6) Suppose thon 13% of popn ere left tanrbd nsmet 6pope rulegut reden. handecd? b) What is the probabinty trut 5 or mors are leht hanced ) Whut is the mman and standard devistion of tha mariter of let handed poople out of the 6 chesen di Wouid it be unsual to huve al ol the selacted people be left handed Judy, wo for got bo study Sor the test, guszses on aliquestlons what is the prizebility thot she wl exatly 3 questiors correcily? 7) A mutiple choioe toerst hasi qutions eech of which has 5 poisible answers, onty on of which iscorrat u

Explanation / Answer

Question 4

(i) P46 = 32 * 46/100 = 14.72

so 15th rank item out of 32 would be tha P46 in ascending order

Here we can see that 68 is the 15th number here.

(ii) Difference between these two scores = 68 - 46 = 32

Question 5

Total candies = 10 + 6 + 6 + 5 + 3 + 5 = 35

Total plain candies = 10 + 3 + 5 = 18

Total green candies = 5 + 5 = 10

Total Orange candies = 6 + 3 = 9

Total Yellow candies = 10 + 6 = 16

(i) Pr (Green) = 10/35 = 2/7

(ii) Pr(Plain) = 18/35

(iii) Pr(Green and plain) =5/35 = 1/7

(iv) Pr(Green or plain) = (10 + 5 + 3 + 5)/35 = 23/35

(v) Pr(Green l Plain) = 5/18

(vi) Pr(Plain l green) = 5/10 = 1/2

(vii) Pr(Both candies are orange) = (9/35) * (8/34) = 0.0605

(viii) Pr(At least one would be yellow) = 1 - Pr(none is yellow) = 1 - (19/35) * (18/34) = 0.7126

Question 7

Here Pr(Correct) = 1/5 = 0.20

Pr(3 out of 5 correct) = 5C3 (0.20)3 (0.80)2 = 0.0512

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