حل واجبات الجامعة العربية المفتوحة
حل واجبات الجامعه العربية المفتوحه مع الشرح
لجميع فروع الجامعة ولجميع التخصصات ولجميع المواد
حلول نموذجية مضمونة وغير مكررة - قسم خاص للتربية
KSA-Kuwait - Bahrain -Oman - Jordon -Lebanon -Egypt-Sudan
الكويت البحرين عمان الأردن لبنان مصر البحرين حائل الرياض الدمام جدة المدينة المنورة الاحساء
(.turnitin./ ) فحص التشابه وفقا لنظام الجامعة عن طريق موقع كشف التشابه
اتصل : O544321455 - OO966544321455
واتس اب: 966544050897+
ايميل : a_al_shora@hot mail.com
سكايبي : a_al_shora
حل واجب 0.5.4.4.3.2.1.4.5.5 الجامعة العربية المفتوحة
حل واجبات الجامعة العربية المفتوحة O54.4.3.2.1.4.5.5 - OO96654.4.3.2.1.4.5.5
ايميل : a_al_shora @ h.o.t.m.ail.c.o.m
سكايبي: a_al_shora
واتس اب: OO96654.4.0.5.0.8.9.7
Course Code: M130
Course Title: Introduction to Probability and Statistics
M130 TMA Feedback Form
The TMA covers only chapters 1, 2, 3 and 4. It consists of six questions for a total of 60 marks. Please solve each question in the space provided. You should give the details of your solutions and not just the final results.
Q−1: [2+2+2+4 Marks] The hydrocarbon emissions at idling speed in parts of million (ppm) for automobiles of 1980 and 1990 model years are given for 20 randomly selected cars.
1980 models:
141 359 247 940 882 494 306 210 105 880 200 223 188 940 241 190 300 435 241 380.
1990 models:
140 160 20 20 223 60 20 95 360 70 220 400 217 58 235 380 200 175 85 65
a) Compute the sample means for the two years.
b) Compute the sample medians for the two years.
c) Find the interquartile range for the two years.
d) Find the sample standard deviation for the two years and comment on the result.
Q-2: [2+2+3+3 Marks]
a) In how many different ways can one answer all the questions of a true – false test consisting of 20 questions?
b) In how many different ways can the five starting players of a basketball team be introduced to the public?
c) Four names are drawn from among the 24 members of a club for the offices of president, vice-president, treasurer and secretary. In how many different ways can this be done?
d) How many different committees of two chemists and one physicist can be formed from the four chemists and three physicists on the faculty of small college?
Q-3: [4+4+2 Marks] A consumer research organization has studied the services under warranty provided by the 50 new-car dealers in a certain city, and its finding are summarized in the following table.
Good service under warranty(G Poor service under warranty
In business 10 years or more (T) 16 4
In business less than 10 years 10 20
a) If a person randomly selects one of these new-car dealers, find the probability that he gets one who provides good service under warranty
b) If a person randomly selects one of the dealers who has been in business for 10 years or more, find the probability that he gets one who provides good service under warranty
c) What is the probability that one of the dealers who has been in business less than 10 years will provide good service under warranty?
d) Refer to parts a and b are the events G and T independent? Explain.
Q-4: [4+2+4Marks] A manufacturer orders a certain part from three different suppliers. From past records, it is found that the three supplies have the following percentages of defective parts.
Supplier 1 Supplier 2 Supplier 3
Defective parts 3% 5% 4%
Good parts 97% 95% 96%
The current inventory of parts contains 5000 units from Supplier 1, 3500 units from Supplier 2, and 2000 units from Supplier 3. If a part is chosen from the inventory at random,
a) What is the probability that it is defective?
b) What is the probability that it is not defective?
c) Find the probability that it came from Supplier 1
Q-5:[2+3+4+1] The number of students using Math lab per day is found in the distribution below.
X 6 8 10 12 14
P(x) 0.15 0.3 0.35 0.1 0.1
a) Find the cumulative distribution of the random variable x.
b) Find the mean for this probability distribution.
c) Find the variance and the standard deviation for this probability distribution.
d) What is the probability that fewer than 8 or more than 12 use the lab in a given day?
Q-6: [3+2+1+2+2 Marks] the probability density function of the random variable X is given by f(x) =
0 otherwise
a) Find the value of c.
b) Find the cumulative distribution function F(x) of x.
c) Compute p(x ) , and p(x > 1
d) Find the mean of the random variable x.
e) Find the standard deviation of the random variable x.
حل واجبات الجامعة العربية المفتوحة
حل واجبات الجامعه العربية المفتوحه مع الشرح
لجميع فروع الجامعة ولجميع التخصصات ولجميع المواد
حلول نموذجية مضمونة وغير مكررة - قسم خاص للتربية
KSA-Kuwait - Bahrain -Oman - Jordon -Lebanon -Egypt-Sudan
الكويت البحرين عمان الأردن لبنان مصر البحرين حائل الرياض الدمام جدة المدينة المنورة الاحساء
(.turnitin./ ) فحص التشابه وفقا لنظام الجامعة عن طريق موقع كشف التشابه
اتصل : O544321455 - OO966544321455
واتس اب: 966544050897+
ايميل : a_al_shora@hot mail.com
سكايبي : a_al_shora
حل واجب 0.5.4.4.3.2.1.4.5.5 الجامعة العربية المفتوحة
حل واجبات الجامعة العربية المفتوحة O54.4.3.2.1.4.5.5 - OO96654.4.3.2.1.4.5.5
ايميل : a_al_shora @ h.o.t.m.ail.c.o.m
سكايبي: a_al_shora
واتس اب: OO96654.4.0.5.0.8.9.7
حل واجبات الجامعه العربية المفتوحه مع الشرح
لجميع فروع الجامعة ولجميع التخصصات ولجميع المواد
حلول نموذجية مضمونة وغير مكررة - قسم خاص للتربية
KSA-Kuwait - Bahrain -Oman - Jordon -Lebanon -Egypt-Sudan
الكويت البحرين عمان الأردن لبنان مصر البحرين حائل الرياض الدمام جدة المدينة المنورة الاحساء
(.turnitin./ ) فحص التشابه وفقا لنظام الجامعة عن طريق موقع كشف التشابه
اتصل : O544321455 - OO966544321455
واتس اب: 966544050897+
ايميل : a_al_shora@hot mail.com
سكايبي : a_al_shora
حل واجب 0.5.4.4.3.2.1.4.5.5 الجامعة العربية المفتوحة
حل واجبات الجامعة العربية المفتوحة O54.4.3.2.1.4.5.5 - OO96654.4.3.2.1.4.5.5
ايميل : a_al_shora @ h.o.t.m.ail.c.o.m
سكايبي: a_al_shora
واتس اب: OO96654.4.0.5.0.8.9.7
Course Code: M130
Course Title: Introduction to Probability and Statistics
M130 TMA Feedback Form
The TMA covers only chapters 1, 2, 3 and 4. It consists of six questions for a total of 60 marks. Please solve each question in the space provided. You should give the details of your solutions and not just the final results.
Q−1: [2+2+2+4 Marks] The hydrocarbon emissions at idling speed in parts of million (ppm) for automobiles of 1980 and 1990 model years are given for 20 randomly selected cars.
1980 models:
141 359 247 940 882 494 306 210 105 880 200 223 188 940 241 190 300 435 241 380.
1990 models:
140 160 20 20 223 60 20 95 360 70 220 400 217 58 235 380 200 175 85 65
a) Compute the sample means for the two years.
b) Compute the sample medians for the two years.
c) Find the interquartile range for the two years.
d) Find the sample standard deviation for the two years and comment on the result.
Q-2: [2+2+3+3 Marks]
a) In how many different ways can one answer all the questions of a true – false test consisting of 20 questions?
b) In how many different ways can the five starting players of a basketball team be introduced to the public?
c) Four names are drawn from among the 24 members of a club for the offices of president, vice-president, treasurer and secretary. In how many different ways can this be done?
d) How many different committees of two chemists and one physicist can be formed from the four chemists and three physicists on the faculty of small college?
Q-3: [4+4+2 Marks] A consumer research organization has studied the services under warranty provided by the 50 new-car dealers in a certain city, and its finding are summarized in the following table.
Good service under warranty(G Poor service under warranty
In business 10 years or more (T) 16 4
In business less than 10 years 10 20
a) If a person randomly selects one of these new-car dealers, find the probability that he gets one who provides good service under warranty
b) If a person randomly selects one of the dealers who has been in business for 10 years or more, find the probability that he gets one who provides good service under warranty
c) What is the probability that one of the dealers who has been in business less than 10 years will provide good service under warranty?
d) Refer to parts a and b are the events G and T independent? Explain.
Q-4: [4+2+4Marks] A manufacturer orders a certain part from three different suppliers. From past records, it is found that the three supplies have the following percentages of defective parts.
Supplier 1 Supplier 2 Supplier 3
Defective parts 3% 5% 4%
Good parts 97% 95% 96%
The current inventory of parts contains 5000 units from Supplier 1, 3500 units from Supplier 2, and 2000 units from Supplier 3. If a part is chosen from the inventory at random,
a) What is the probability that it is defective?
b) What is the probability that it is not defective?
c) Find the probability that it came from Supplier 1
Q-5:[2+3+4+1] The number of students using Math lab per day is found in the distribution below.
X 6 8 10 12 14
P(x) 0.15 0.3 0.35 0.1 0.1
a) Find the cumulative distribution of the random variable x.
b) Find the mean for this probability distribution.
c) Find the variance and the standard deviation for this probability distribution.
d) What is the probability that fewer than 8 or more than 12 use the lab in a given day?
Q-6: [3+2+1+2+2 Marks] the probability density function of the random variable X is given by f(x) =
0 otherwise
a) Find the value of c.
b) Find the cumulative distribution function F(x) of x.
c) Compute p(x ) , and p(x > 1
d) Find the mean of the random variable x.
e) Find the standard deviation of the random variable x.
حل واجبات الجامعة العربية المفتوحة
حل واجبات الجامعه العربية المفتوحه مع الشرح
لجميع فروع الجامعة ولجميع التخصصات ولجميع المواد
حلول نموذجية مضمونة وغير مكررة - قسم خاص للتربية
KSA-Kuwait - Bahrain -Oman - Jordon -Lebanon -Egypt-Sudan
الكويت البحرين عمان الأردن لبنان مصر البحرين حائل الرياض الدمام جدة المدينة المنورة الاحساء
(.turnitin./ ) فحص التشابه وفقا لنظام الجامعة عن طريق موقع كشف التشابه
اتصل : O544321455 - OO966544321455
واتس اب: 966544050897+
ايميل : a_al_shora@hot mail.com
سكايبي : a_al_shora
حل واجب 0.5.4.4.3.2.1.4.5.5 الجامعة العربية المفتوحة
حل واجبات الجامعة العربية المفتوحة O54.4.3.2.1.4.5.5 - OO96654.4.3.2.1.4.5.5
ايميل : a_al_shora @ h.o.t.m.ail.c.o.m
سكايبي: a_al_shora
واتس اب: OO96654.4.0.5.0.8.9.7
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