M3 Exam

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Portage Learning *

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110

Subject

Statistics

Date

Jan 9, 2024

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pdf

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9

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M3: Exam - Requires Respondus LockDown Browser + Webcam Due No due date Points 50 Questions 7 Time Limit 90 Minutes Requires Respondus LockDown Browser Instructions You may only have the following items when taking an exam: computer, 1-2 pieces of blank scratch paper, a pen/pencil, and a calculator. You may ONLY use the equation sheets that are provided WITHIN the exam. The use of printed versions will be considered a violation of the Academic Integrity Policy. Attempt History Attempt Time Score LATEST Attempt 1 76 minutes 44 out of 50 Score for this quiz: 44 out of 50 Submitted Aug 8 at 5:58pm This attempt took 76 minutes. Question 1 5/5 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet = Find the answer to each of the following by first reducing the fractions as much as possible: a) P(490,2)=
b) C(670,665)= Your Answer: . 490! 490! _ P (490,2) = 0 = {5 = 490 (489) = 239,610 a) b) _ 670! _ 670! __ 670(669)(668)(667)(666) ‘0(670’ 665) o 665!(670—665)! ~ 670!5! 5(4)(3)(2)(1) = 1.1( < (D 4 G 4 a. 490! 490! P(490,2) = oo aeal 490(489) = 239,610. b. ! ! 70(669)(668)(667)(666) €(670,665) = 665!(:'77:-665)! - 66675(!)51 = = 62‘24)‘2:‘)3(2):17') == 1.108 x 10** Question 2 515 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet & (https://previous.nursingabc.com/upload/images/Help_file_picture/Statistics Suppose you are going to make a password that consists of 6 characters chosen from {3,4,5,7,d,f,g.k,q,r,s,w}. How many different passwords can
you make if you cannot use any character more than once in each password? Your Answer: n' ! P(n,r) = mier = = =12(11) (10) (9) (8)(7) = 665, 280 P(12,6) = i i 12(11)(10)(9)(8)(7) = 665,280 T (az2-6) 6l T 4 G 2 Question 3 6/9 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet & (https://previous.nursingabc.com/upload/images/Help_file picture/Statistics Suppose A and B are two events with probabilities: P(A)=.35,P(B° )=.45,P(ANB)=.25. Find the following: a) P(AuB). b) P(A®). c) P(B). 4 D 4 Your Answer:
a.For|P(AUB)|use|P(ANB)=P(A)+P(B)— P(AUB) and rearrange to|P(AU B) = P(A) + P(B) P(AN B) P(A)=1-P(AY|=[P(4)=1— .35 = .65 P(AUB) = .65+ .45 .25 = .85 b. P(A) found above as .65 c. ForrlP(B) =1 P (B°)|rearranged to |(B°) = 1 P (B) P(B°) =1— .45 = .55
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