حل واجبات الجامعة العربية المفتوحة
اتصل : O544321455 - OO966544321455
واتس اب: 966544321455+
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: OO96654.4.3.2.1.4.5.5




Faculty of Computer Studies
Course Code: M130
M130 TMA Feedback Form


Q−1: [2+3+4+1 Marks] A city wants to encourage downtown employees to use public transportation. Below is the time in minutes to get to work on one morning according to whether the employee used public transportation or drove a car:
Public Transportation 23 25 25 30 31 31 32 33 35 36 37 42
Private Transportation 32 32 33 34 37 37 38 38 38 39 40 44

a) Calculate the mean, median for each group.
b) Find the lower and upper-quartiles, and the inter-quartile range for each group.
c) Calculate the standard deviation for each group.
d) Compare the times of two groups.

Q-2:
Part A: [2+2+1]
The student Engineers Council at a certain college has one student representative from each of the five engineering majors (civil, electrical, industrial, materials, and mechanical). In how many ways can
a) Both a council and a vice-president selected?
b) A president, a vice-president, and a secretary selected?
c) Two members selected for the President’s Council?
d) In how many ways can seven of ten books be arranged on a bookf? In how many ways can all ten books be arranged on the f?
Part B: [1+2+2]
Three numbers are chosen at random without replacement from the set {0, 1, 2, 3, ... , 10}. Calculate the probabilities that for the three numbers drawn
i) None will be greater than 7,
ii) the smallest will be 7,
iii) the sum is equal to 7.

Q-3:
a) [1+1+2 Marks] Listed in the table below are the numbers of doctors in various specialties by gender. If one doctor is chosen at random,

Pathology Pediatrics Psychiatry Total
Male 12,575 33,020 27,803 73,398
Female 5,604 33,351 12,292 51,247
Total 18,179 66,371 40,095 124,645

i) Find the probability that the doctor is a male given that he is a pediatrician.
ii) Find the probability that the doctor is a pathologist given that she is a female.
iii) Are the characteristics “female” and “pathologist” independent? Explain.
b) [2+2+2 Marks]
i) What percent of doctors are male who are psychiatrists?
ii) What percent of the psychiatrists are male?
iii) What percent of male doctors are psychiatrists?

Q-4: [2+3+3+2 Marks] At a certain gas station 40% of customers request regular gas (event A), 35% request unleaded gas (event B), and 25% request premium gas (event C). Of those customers requesting regular gas, only 30% fill their tanks. Of those customers requesting unleaded gas, 60% fill their tanks, while of those requesting premium gas, 50% fill their tanks:
a) What is the probability that the next customer will request unleaded gas and fill the tank?
b) What is the probability that the next customer fills the tank?
c) If the next customer fills the tank, i) what is the probability that regular gas is requested? ii) Unleaded gas? iii) Premium gas?
d) What is the probability that the next customer does not fill his tank?
Q-5: [4+3+3 Marks] Of all customers purchasing garage door openers, 75% purchase a chain-driven model. Let X = the number among the next 4 purchasers who select the chain-driven model:

a) Find the probability distribution and the cumulative distribution of the random variable X.
b) Use the cumulative distribution to calculate
c) Compute the mean, variance, and standard deviation of the random variable X.

Q-6: [2+2+1+1+2+2 Marks] Consider the continuous function given below representing the weekly sales X (in tons) of a certain product:


a) Show that f(x) is a probability density function.
b) Obtain the cumulative distribution c.d.f. of f(x).
c) Find using the c.d.f. function.
d) Calculate
e) Find the mean E(X) of the random variable X.
f) Find the variance V(X) and the standard deviation σ(X) of the random variable X.






حل واجبات الجامعة العربية المفتوحة
اتصل : O544321455 - OO966544321455
واتس اب: 966544321455+
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: OO96654.4.3.2.1.4.5.5