Business Statistics Assignment 2
Group Assignment
Business Statistics
CBEB1109
Tutorial : Tuesday 11.00am – 12.00pm
Instructor : Dr. Sharifah Latifah Binti Syed A Kadir
Group : Group 2
Group Members :
1.
Kao Wei Jian
CEA 130028
2.
Lim Kin Chun
CEA 130041
3.
Amirul Asyraaf bin Azhar
CEA 130002
4.
Nur Hasfaiza bt Mohd Zaid
CEA 130063
5.
Muhammad Hamdin Zarif Bin Mohd Zaidi
CEA 100062
6.
Lim Sin Pei
CEA 130043
7.
Wong Siew Yen
CEA 130097
1. Of 100 individuals who applied for systems analyst positions with a large firm during the past year, 40 had some prior work experience, 30 had a professional certificate and 20 of them had both work experience and a certificate. a Determine if work experience and certification are independent events.
Let A = Prior Work experience
B = Professional Certificate
A
A’
Total
B
20
30
50
B’
40
10
50
Total
60
40
100
=
= 0.4
P(A) =
= 0.6 , so it is not an independent event.
b What is the probability that a randomly chosen applicant, i had either work experience or a certificate?
) =
=
= 0.9
ii has neither work experience nor a certificate?
iii has a certificate if he has some previous work experience?
= 0.33
2. Because of economic conditions, a firm reports that 30 percent if its accounts receivable from other business firms are overdue. If an accountant takes a random sample of 10 such accounts, determine the probability that p=30% @ 0.3 n=10 X~B(10,0.3)
a. none of the account is overdue
By referring to the Binomial Table,
P(X=0) = 1 – P(X ≥ 1) = 1 – 0.9718 = 0.0282
b. exactly 2 accounts are overdue
By referring to the Binomial Table,
P(X=2) = P(X ≥ 2) – P(X ≥ 3) = 0.8507 – 0.6172 = 0.2335
c. less than 5 accounts are overdue.
By referring to the Binomial Table,
P(X<5) = 1 – P(X ≥ 5) = 1 – 0.1503 = 0.8497
d. Suppose that in a year, an auditor is responsible to check 40 of such accounts. What is the probability that less than 15 accounts are overdue? n = 40 , p = 0.3 ; λ = np = (40)(0.3) = 12 thus, X ~ P(12)
P(X
Business Statistics
CBEB1109
Tutorial : Tuesday 11.00am – 12.00pm
Instructor : Dr. Sharifah Latifah Binti Syed A Kadir
Group : Group 2
Group Members :
1.
Kao Wei Jian
CEA 130028
2.
Lim Kin Chun
CEA 130041
3.
Amirul Asyraaf bin Azhar
CEA 130002
4.
Nur Hasfaiza bt Mohd Zaid
CEA 130063
5.
Muhammad Hamdin Zarif Bin Mohd Zaidi
CEA 100062
6.
Lim Sin Pei
CEA 130043
7.
Wong Siew Yen
CEA 130097
1. Of 100 individuals who applied for systems analyst positions with a large firm during the past year, 40 had some prior work experience, 30 had a professional certificate and 20 of them had both work experience and a certificate. a Determine if work experience and certification are independent events.
Let A = Prior Work experience
B = Professional Certificate
A
A’
Total
B
20
30
50
B’
40
10
50
Total
60
40
100
=
= 0.4
P(A) =
= 0.6 , so it is not an independent event.
b What is the probability that a randomly chosen applicant, i had either work experience or a certificate?
) =
=
= 0.9
ii has neither work experience nor a certificate?
iii has a certificate if he has some previous work experience?
= 0.33
2. Because of economic conditions, a firm reports that 30 percent if its accounts receivable from other business firms are overdue. If an accountant takes a random sample of 10 such accounts, determine the probability that p=30% @ 0.3 n=10 X~B(10,0.3)
a. none of the account is overdue
By referring to the Binomial Table,
P(X=0) = 1 – P(X ≥ 1) = 1 – 0.9718 = 0.0282
b. exactly 2 accounts are overdue
By referring to the Binomial Table,
P(X=2) = P(X ≥ 2) – P(X ≥ 3) = 0.8507 – 0.6172 = 0.2335
c. less than 5 accounts are overdue.
By referring to the Binomial Table,
P(X<5) = 1 – P(X ≥ 5) = 1 – 0.1503 = 0.8497
d. Suppose that in a year, an auditor is responsible to check 40 of such accounts. What is the probability that less than 15 accounts are overdue? n = 40 , p = 0.3 ; λ = np = (40)(0.3) = 12 thus, X ~ P(12)
P(X