• We need your support!

    We are currently struggling to cover the operational costs of Xtremepapers, as a result we might have to shut this website down. Please donate if we have helped you and help make a difference in other students' lives!
    Click here to Donate Now (View Announcement)

statistics 2: post your doubts and solve mine! lol

Messages
764
Reaction score
752
Points
103
statistics experts plx line up here and save me from the "haunted examination hall"
 
Messages
764
Reaction score
752
Points
103
an unbiased dice is thrown once .mean 3.5 variance 35/12 . this dice is thrown 70 tyms
(a) find prob that mean score is less than 3.3
 
Messages
764
Reaction score
752
Points
103
water taken from a river contains on average 16 bacteria per ml .assumin poisson distrib find prob tat 5 ml of water contains
(a)65-85 bacteria inclusive
(b)exactly 80 bacteria
 
Messages
1,532
Reaction score
478
Points
93
an unbiased dice is thrown once .mean 3.5 variance 35/12 . this dice is thrown 70 tyms
(a) find prob that mean score is less than 3.3
mean for 70 times= 70*3.5. variance=70*35/12
Use SD and Mean to get probability from the normal distribution table.
 
Messages
1,532
Reaction score
478
Points
93
water taken from a river contains on average 16 bacteria per ml .assumin poisson distrib find prob tat 5 ml of water contains
(a)65-85 bacteria inclusive
(b)exactly 80 bacteria

Find mean of 5ml. 16*5=80
a) You need poission to normal approximation where the mean is 80 and variance is also equal to 80.
First do continuity correction:
P(65<=x<=85) is corrected to P(64.5<x<85.5) Now use the mean and variance to adjust these values and look up the normal distribution table.
b)Continuity correction of P(x=80) will be P(79.5<x<80.5). And then use normal distribution adjustment.
 
Messages
764
Reaction score
752
Points
103
Find mean of 5ml. 16*5=80
a) You need poission to normal approximation where the mean is 80 and variance is also equal to 80.
First do continuity correction:
P(65<=x<=85) is corrected to P(64.5<x<85.5) Now use the mean and variance to adjust these values and look up the normal distribution table.
b)Continuity correction of P(x=80) will be P(79.5<x<80.5). And then use normal distribution adjustment.
thantu but did u solve part b? The answer is not cumin
 
Messages
764
Reaction score
752
Points
103
mean for 70 times= 70*3.5. variance=70*35/12
Use SD and Mean to get probability from the normal distribution table.
Here I got da ans over nyt the n has to b divided frm the continuity correction and then the correct ans is cuming.
 
Messages
764
Reaction score
752
Points
103
The proportion of faulty cups made by factory machine is0.08. The cups are packed in 100s in boxes .4000required 4 a concert manager
orders 44 boxes. Find prob that these boxes will contain more than 4000 non faulty cups
 
Messages
158
Reaction score
56
Points
38
The proportion of faulty cups made by factory machine is0.08. The cups are packed in 100s in boxes .4000required 4 a concert manager
orders 44 boxes. Find prob that these boxes will contain more than 4000 non faulty cups

1) p=0.92 n=44*100=4400
X~B(4400,0.92)
E(X)=np=4048 ; Var(X)=np(1-p)=323.84

Using Normal Approximation,
Y~N(4048,323.84)
P(X>4000) = P(X>4001)

Z= (4000.5-4048)/sqrt(323.84) sqrt of variance= standard deviation
Z=-2.64

I=0.9957(approx).
 
Messages
764
Reaction score
752
Points
103
Oh that's the same thing... acha plx tell me in da previous questions like watch above unbiased dice wala v did not take continuity o.5 but
v divided o.5 wid the value of n in thecase of that Q. 0.5/70 this was the new continuity correction y did v do IT? and wen do v use tat method
and wen do v simply take0.5??? Plz help... and thankooooooo! :D
 
Messages
764
Reaction score
752
Points
103
1) p=0.92 n=44*100=4400
X~B(4400,0.92)
E(X)=np=4048 ; Var(X)=np(1-p)=323.84

Using Normal Approximation,
Y~N(4048,323.84)
P(X>4000) = P(X>4001) and -2.64 on the table gives u 0.9959 not 0.9957

Z= (4000.5-4048)/sqrt(323.84) sqrt of variance= standard deviation
Z=-2.64

I=0.9957(approx).
 
Messages
158
Reaction score
56
Points
38
Link me to the question paper please. Cant make out what your question is.
 
Messages
158
Reaction score
56
Points
38
You divided because of Central Limit Theorm. There's no continuity correction in that question.
 
Top