1.On February 1, 2003, the Space Shuttle Columbia exploded. This was the second disaster in 113 space missions for NASA. On the basis of this information, what is the probability that a future mission is successfully completed?
a) 0.90 b) 0.98 c) 0.99 d) 0.95. 2.A survey of 34 students at the Wall College of Business showed the following majors: Accounting 10, Finance 5, Economics 3, Management 6, Marketing 10.
Suppose you select a student and observe his or her major.
What is the probability he or she is a management major?
a) 0.294 b) 0.147 c) 0.088 d) 0.176. 3.The probability that a project is Telecommunication
a)4/100 b)1/2 c) 4/10 d) 1/10. 4.The probability that a project is Computers
a)4/100 b)1/2 c) 4/10 d) 1/10. 5.The Probability that a project is undertaken by IBM given it is a telecommunications project:
a) 10/50 b) 40/50 c) 40/100 d) 50/100
a)10/50 b) 40/50 c) 40/100 d) 50/100. 6.Probability that a project is undertaken by IBM given it is a computers project:
a)40/50 b) 30/50 c) 25/50 d) 10/50
. 7.If A is an event that is certain to occur, the probability of it occurring is
a) 0 b) 1 c) 0.5 d) none of the above
. 8.A woman gave birth to a male child, and another woman gave birth to a male child, they are
a) Two mutually exclusive events b) Two independent events c) Two complementary events d) Not independent events. 9.A box with balls numbered with numbers from 1 to 15, if: E1: represents the withdrawal of a ball numbered with an odd number, E2: represents the withdrawal of a ball whose number is less or equal to 10, then the probability of it happening from E1 or E2 is:
a) 12/15 b) 13/15 c) 14/15 d) 8/15. 10.If events A and B are mutually exclusive, then P(A∩B) is...
a) 1 b) 0.1 c) 0 d) 0.5 . 11.A doctor has performed 400 surgeries and 360 of them are successful. What is the probability of success of any operation performed by this doctor?
a) 0.49 b) 0.96 c) 0.90 d) 0.98. 12.In the experience of giving birth to three children, the sample space consists of
a) 9 products b) 8 products c) 6 products d) 3 products . 13.If events A and B are independent and P(A)= 0.4, P(B) = 0.5, then P(A B) is equal to
a) zero b) one c) 0.10 d) 0.20
. 14.When four children are born, and to find out the number of times a male or a female is born, the number of simple events in the experiment:
a) 2 b) 4 c)12 d)16 . 15. A card is drawn at random from the playing cards, the probability that the card is a heart and a boy equal:
a) 13/52 b) 4/52 c) 1/52 d) otherwise
. 16.Two cards are drawn at random from the playing cards with replay. If a boy is drawn the first time and a girl is drawn the second time, the two events are:
a) mutually exclusive b) independent c) not independent d) not mutually exclusive
. A sample of 40 oil industry executives was selected to test a questionnaire. One question
about environmental issues required a yes or no answer.
Answer the following quesions
17.What is the experiment?
a) The survey of 10 people about environmental issues b) The survey of 40 people about environmental issues c) The survey of 100 people about environmental issues d) The survey of 50 people about environmental issues
. A sample of 40 oil industry executives was selected to test a questionnaire. One question
about environmental issues required a yes or no answer.
Answer the following quesions
18.Ten of the 40 executives responded yes. Based on these sample responses, what is the probability that an oil industry executive will respond yes?
a)40/50 b)10/50 c) 10/40 d)1/2. A sample of 40 oil industry executives was selected to test a questionnaire. One question
about environmental issues required a yes or no answer.
Answer the following quesions
19. What concept of probability does this illustrate?
a)Classical b) empirical c Subjective d) none of the above
. 20.Are each of the possible outcomes equally likely and mutually exclusive?
a) The events are equally likely and mutually exclusive b) The events are not equally likely, but they are mutually exclusive c) The events are equally likely, but they are not mutually exclusive d) None of the above. 21.The probability that the card is Ace
a) 4/13 b) 1/13 c) 1/52 d) 26/52. 22. The probability that the card is picture
a)1/52 b) 1/13 c) 3/13 d) 12/13. 23.The probability that the card is contain number less than 5
a)4/13 b)1/13 c) 4/52 d) 13/52. 24.The probability that the card contain heart
a)1/52 b) 1/13 c)1/4 d) ½
. 25.The Probability of getting a number ten with a heart
a) 1/4 b) 1/52 c) 1/13 d) 16/52. 26.The Probability of getting Ace or heart
a)4/13 b) 4/52 c) 1/52 d) ¼ . 27.A balanced die is tossed ,the probability of an odd number appearing on the upper side of the die is
a) 1/3 b)1/2 c)1/4 d) 1/6. 28.When a ball is drawn from a box containing twelve balls of the same size, including seven red balls and five white balls, the probability of the appearance of a red ball is
a) 2/12 b)5/12 c) 1/12 d) 7/12
. 29.The Probability is
a) A quantitative measure of uncertainty b) A measure of the strength of belief in the occurrence of an uncertain event c) A measure of the degree of chance or likelihood of occurrence of an uncertain event d) All the above. 30.If events A and B are mutually exclusive, then:
a)P(A∩B) = P(A).P(B) b) P(A∩B)=0.5 c) P(A∩B)=0 d) P(A∩B) =1. 1.If the aim of the study is to know the opinions of Cairo University students on the GATT agreement, then the comprehensive survey method means studying the opinions of
a) a sample only from the population Students b) all students registered in Cairo University without neglecting the opinion of any student c) Pilot sample from the population Students d) Otherwise.
. 2. Random sampling means that:
a) Collecting data from a limited population a) Collecting data from a limited population c) The choice of any item in the sample does affect the probability of choosing any other item in the population. d) Each item has the same chance to choose. 3. Simple random sampling means that
a) Each item has the same chance to choose. b) It is required to use this method that all items be homogeneous or similar
c) The sample is chosen in a way that gives each individual in the population an equal chance to appear in the sample. d) All the above. 4. We can select the simple random sample using
a) lottery method b) Tables of random numbers c) Use of computer programs (for example Minitab) d) All the above.
. 5. In the Stratified Random Sampling , we see that
a) It is considered one of the most used methods b) We can divide the population into sub-groups that are not overlapping as Strata c) We can divide the population into internally homogeneous groups d) All the above.
. 6.When conducting a study to find out the cultural level of students consisting of 800 students, 300 of whom are female and 500 males, we wanted to choose a stratified sample of 80, then the sample size of males is
a) 30 b) 80 c) 50 d) 300. 7. Suppose that the Bank of Egypt has
10,000 employees and we want to draw a random sample representative of the population, the required sample size is
a) 300 b) 150
c) 400 d) 220. 8. A researcher wants to choose a systematic random sample 1 in 10 of Egypt Bank customers, if he knows that the sample size is n = 50 and the number of customers for that day is 500, if we choose a random number from 1 to 10, let it be 4 then the fourth customer is number
a) 24 b) 14 c) 34 d) 44. 9.when using the questionnaire on line, sometimes we obtain the raw data in text form, in this case
a) we must coding the qualitative (nominal , ordinal) data. b) we must recode the qualitative (nominal, ordinal) data. c) we must code the quantitative data to qualitative data. d) Otherwise. 12. The number of nurses in the category very satisfied is
a) 60 b) 26.7 c) 16 d) 100. 13. The Percentage of nurses in the category not satisfied is a) 60%
a) 60% b) 26.7% c) 13.3% d) 36.7%. 14. The Percentage of nurses less than neutral is a) 60% b) 73.3% c) 13.3%
d) 100%. 15. The Sample size is a) 100 b) 60 c) 0 d) 1. 17. The mean of the Profits is a) 78.0 b) 77.5 c) 78.9 d) 79.0
. 18. The median of the Profits is
a) 81 b) 81.9 c) 81.5 d) 81.2. 19. The mode of the Profits is
a) 95 b) 90 c) 96 d) 92. 20. The first quantile (The value of the profits less than the profits of 20% of the companies is
a) 63.0 b) 63.3 c) 63.6 d) 63.2. 21. The value of the profits less than the profits of 33% of the companies
a) 71 b) 71.69 c) 71.5 d) 71.6. 22. The first quartile is
a) 71 b) 60.5 c) 67.5 d) 81.5. 23. The third quartile is
a) 91 b) 65.5 c) 91.25 d) 81.5. 24. The first decile is a) 56.4 b) 50.5 c) 53.4 d) 61.5. 25. The 80th percentile is
a) 95 b) 95.6
c) 95.8 d) 95.1
. 26. The minimum value of the profits is
a) 50 b) 51
c) 55 d) 60. 27. The maximum profit is
a) 95 b) 99 c) 100 d) 98. 30. The best Measure of Central Tendency for homogeneity data is
a) Mean b) Median c) Mode d) None of the above.