Chapter Four Quiz

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2017 Summer Semester

Elementary Statistics Course, 6803131-3

Chapter Four Quiz

-10 Minutes-

Name (ﻢﺳﻻا):

University ID (ﻲﻌﻣﺎﺠﻟا ﻢﻗﺮﻟا):

Serial Number (ﻲﻠﺴﻠﺴﺘﻟا ﻢﻗﺮﻟا):

Level (ىﻮﺘﺴﻤﻟا):

Date (ﺦﯾرﺎّﺘﻟا): Sunday, 13 / 8 / 2017

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Question:

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• Selecting a Sweater At a men’s clothing store, 12 men purchased blue golf sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 bought black sweaters. If a customer is selected at random, find the probability that he purchased

a)A blue sweater.

b)A green or gray sweater.

c)A green or black or blue sweater.

d)A sweater that was not black.

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Question:

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Cellular Telephones How many different ways can 5 cellular telephones be selected from 8 cellular phones?

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Question:

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Rolling a Die A single die is rolled 4 times. Find the probability of getting a least one 5.

Kingdom of Saudi Arabia Ministry of Education Umm AlQura University

Adam University College, female branch Computer Science Department

ﺔﯾدﻮﻌﺴﻟا ﺔﯿﺑﺮﻌﻟا ﺔﻜﻠﻤﻤﻟا ﻢﯿﻠﻌﺘﻟا ةرازو ىﺮﻘﻟا مأ ﺔﻌﻣﺎﺟ تﺎﺒﻟﺎﻄﻟا ﺮﻄﺷ ،ﻢﺿﺄﺑ ﺔﯿﻌﻣﺎﺠﻟا ﺔﯿﻠﻜﻟا ﻲﻟﻵا ﺐﺳﺎﺤﻟا مﻮﻠﻋ ﻢﺴﻗ

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^st

Question Solution:

Sample space s = 31.

a) P(Blue) = ^{𝑷(𝑩𝒍𝒖𝒆)}_𝑷(𝑺) = ^𝟏𝟐_𝟑𝟏

b) P(Green or Gray) = ^{𝑷(𝑮𝒓𝒆𝒆𝒏)}_𝑷(𝑺) + ^{𝑷(𝑮𝒓𝒂𝒚)}_𝑷(𝑺) = _𝟑𝟏^𝟖 + _𝟑𝟏^𝟒 = ^𝟏𝟐_𝟑𝟏

c) P(Green or Black or Blue) = ^{𝑷(𝑮𝒓𝒆𝒆𝒏)}_𝑷(𝑺) + ^{𝑷(𝑩𝒍𝒂𝒄𝒌)}_𝑷(𝑺) + ^{𝑷(𝑩𝒍𝒖𝒆)}_𝑷(𝑺) = _𝟑𝟏^𝟖 + _𝟑𝟏^𝟕 +^𝟏𝟐_𝟑𝟏= ^𝟐𝟕_𝟑𝟏 d) ) P(Not Black) = 𝟏 − ^{𝑷(𝑩𝒍𝒂𝒄𝒌)}_𝑷(𝑺) = 𝟏 − _𝟑𝟏^𝟕 = ^𝟐𝟒_𝟑𝟏

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Question Solution:

The numbers of ways can 5 cellular telephones be selected from 8 cellular phones is

8C5 = _{:<= !=!}^:! = _>!=!^:! = _B×DA@^?@>A@ = ^?@>A@_EA@ = 56

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Question Solution:

𝐄= getting at least one 5, 𝐄 = not getting 5 at all.

P(𝐄) = ^𝟓_𝟔 × ^𝟓_𝟔 × ^𝟓_𝟔 × ^𝟓_𝟔 = _{𝟏𝟐𝟗𝟔}^𝟔𝟐𝟓 P(𝐄) = 1 - P(𝐄) = 1 - _{𝟏𝟐𝟗𝟔}^𝟔𝟐𝟓 =^{𝟏𝟐𝟗𝟔}

𝟏𝟐𝟗𝟔 − ^𝟔𝟐𝟓

𝟏𝟐𝟗𝟔 = ^𝟔𝟕𝟏

𝟏𝟐𝟗𝟔

Best of Luck

T.Mariah Sami Ahmed Khayat

Teacher Assistant @ Adam University College [email protected]