In this time of pandemic , online shopping is becoming the norm. Suppose an online shop is selling 10 scientific calculators but the seller is unaware that 2 of these calculators are defective. Suppose you buy 3 scientific calculators from this shop, determine the (a) probability distribution (tabulate) and the (b) cumulative distribution of the random variable X representing the number of the scientific calculators that are defective.   Using your answer in problem no.4, (answers attached) determine the following probability: (a) All calculators you bought from the shop are functioning properly. (b) Only one calculator you bought from the shop is functioning.   pls answer in complete. pls answer in FRACTION or 4dec places

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problem #4:

In this time of pandemic , online shopping is becoming the norm. Suppose an online shop is selling 10 scientific calculators but the seller is unaware that 2 of these calculators are defective. Suppose you buy 3 scientific calculators from this shop, determine the (a) probability distribution (tabulate) and the (b) cumulative distribution of the random variable X representing the number of the scientific calculators that are defective.

 

Using your answer in problem no.4, (answers attached) determine the following probability:

(a) All calculators you bought from the shop are functioning properly.

(b) Only one calculator you bought from the shop is functioning.

 

pls answer in complete.

pls answer in FRACTION or 4dec places

4. 10tal number of calculaors that a seller haw (N)=L0
No. of calculah rs that are defutive (k) > 2
No. of calculatous bought from reller (n)
3
be the num ber of that are defective out of 3 calculadine from reller.
-* The probability maw funehion is :
r(x • •) . _(*)().
(E) ()
h - X
(a) P (*-1) = _ (3)(})
|x56
チ
16
/20
15
plx =1)• (?)(}) -
(9)
p (x= q]=
2 X78
7
シ
%3D
120
15
.3
8.
1 x 8
ン
120
15
the Phobability distüibu tion fable iv giren below :
p(X=x)
7/15
7/15
2
1 /15
CS Scanned with CamScanner
Transcribed Image Text:4. 10tal number of calculaors that a seller haw (N)=L0 No. of calculah rs that are defutive (k) > 2 No. of calculatous bought from reller (n) 3 be the num ber of that are defective out of 3 calculadine from reller. -* The probability maw funehion is : r(x • •) . _(*)(). (E) () h - X (a) P (*-1) = _ (3)(}) |x56 チ 16 /20 15 plx =1)• (?)(}) - (9) p (x= q]= 2 X78 7 シ %3D 120 15 .3 8. 1 x 8 ン 120 15 the Phobability distüibu tion fable iv giren below : p(X=x) 7/15 7/15 2 1 /15 CS Scanned with CamScanner
(b) The cumulative probability of x s equal to
p(X sx) .
PlxX=x)
Þ ( x = x)
al15
7/15 |
[(7/15)+ (7/15)]
14/15
ン
+(1/15)]
* (5/15 =1
Thus i the cumolative distribution of the random variable X is :
P(x£ x)
7/15
14 li5
2
CS Scanned with CamScanner
2.
Transcribed Image Text:(b) The cumulative probability of x s equal to p(X sx) . PlxX=x) Þ ( x = x) al15 7/15 | [(7/15)+ (7/15)] 14/15 ン +(1/15)] * (5/15 =1 Thus i the cumolative distribution of the random variable X is : P(x£ x) 7/15 14 li5 2 CS Scanned with CamScanner 2.
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