Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 12, Problem 15STP

a)

To determine

To find : Probability of getting correct answer in the test.

a)

Expert Solution
Check Mark

Answer to Problem 15STP

  14

Explanation of Solution

Given Information :

We know that, (a,b,c) A test contains 8 MCQ. A student answered by guessing.

Formula Used:

Binomial distribution, mean and variance. {for all a,b,c }

Calculation :

There are 4 choices in each question of which only one is correct.

   Probability of getting one correct answer is given by

  P=14

b)

To determine

To find : On attempting each question, what is the expected number of correct answer ?

b)

Expert Solution
Check Mark

Answer to Problem 15STP

  2

Explanation of Solution

Given Information :

  (a, b, c) A test contains 8 MCQ. A student answered by guessing.

Formula Used:

Binomial distribution, mean and variance. {for all a, b, c}

Calculation :

  Let X denote the number of correct answers, then according tobinomial distribution,  n = 8,  p = 1/4,  q = 3/4Expection of X isμ=np=2

c)

To determine

To find : Probability of getting atleast half correct answers.

c)

Expert Solution
Check Mark

Answer to Problem 15STP

  9338192

Explanation of Solution

Given Information :

  (a, b, c) A test contains 8 MCQ. A student answered by guessing.

Formula Used:

Binomial distribution, mean and variance. {for all a, b, c}

Calculation :

  P(x4)=P(4)+P(5)+P(6)+P(7)+P(8)=1{P(0)+P(1)+P(2)+P(3)}=1{8C0(34)8+8C114(34)7+8C2(14)2(34)6+8C3(14)3(34)5}=1{6561+17496+20412+1360365536}=746465536=9338192

Chapter 12 Solutions

Algebra 2

Ch. 12.1 - Prob. 2CYUCh. 12.1 - Prob. 3CYUCh. 12.1 - Prob. 4CYUCh. 12.1 - Prob. 5CYUCh. 12.1 - Prob. 6CYUCh. 12.1 - Prob. 7CYUCh. 12.1 - Prob. 8CYUCh. 12.1 - Prob. 9CYUCh. 12.1 - Prob. 10PPSCh. 12.1 - Prob. 11PPSCh. 12.1 - Prob. 12PPSCh. 12.1 - Prob. 13PPSCh. 12.1 - Prob. 14PPSCh. 12.1 - Prob. 15PPSCh. 12.1 - Prob. 16PPSCh. 12.1 - Prob. 17PPSCh. 12.1 - Prob. 18PPSCh. 12.1 - Prob. 19PPSCh. 12.1 - Prob. 20PPSCh. 12.1 - Prob. 21PPSCh. 12.1 - Prob. 22PPSCh. 12.1 - Prob. 23PPSCh. 12.1 - Prob. 24PPSCh. 12.1 - Prob. 25PPSCh. 12.1 - Prob. 26PPSCh. 12.1 - Prob. 27PPSCh. 12.1 - Prob. 28HPCh. 12.1 - Prob. 29HPCh. 12.1 - Prob. 30HPCh. 12.1 - Prob. 31HPCh. 12.1 - Prob. 32HPCh. 12.1 - Prob. 33HPCh. 12.1 - Prob. 34HPCh. 12.1 - Prob. 35HPCh. 12.1 - Prob. 36HPCh. 12.1 - Prob. 37STPCh. 12.1 - Prob. 38STPCh. 12.1 - Prob. 39STPCh. 12.1 - Prob. 40STPCh. 12.1 - Prob. 41STPCh. 12.1 - Prob. 42STPCh. 12.1 - Prob. 43STPCh. 12.1 - Prob. 44STPCh. 12.1 - Prob. 45STPCh. 12.1 - Prob. 46STPCh. 12.1 - Prob. 47STPCh. 12.1 - Prob. 48STPCh. 12.1 - Prob. 49STPCh. 12.1 - Prob. 50STPCh. 12.1 - Prob. 51STPCh. 12.1 - Prob. 52STPCh. 12.1 - Prob. 53STPCh. 12.1 - Prob. 54STPCh. 12.1 - Prob. 55STPCh. 12.1 - Prob. 56STPCh. 12.1 - Prob. 57STPCh. 12.1 - Prob. 58STPCh. 12.1 - Prob. 59STPCh. 12.1 - Prob. 60SCh. 12.1 - Prob. 61SCh. 12.2 - Prob. 1CYPCh. 12.2 - Prob. 2ACYPCh. 12.2 - Prob. 2BCYPCh. 12.2 - Prob. 3ACYPCh. 12.2 - Prob. 3BCYPCh. 12.2 - Prob. 4ACYPCh. 12.2 - Prob. 4BCYPCh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 3CYUCh. 12.2 - Prob. 4CYUCh. 12.2 - Prob. 5CYUCh. 12.2 - Prob. 6CYUCh. 12.2 - Prob. 7CYUCh. 12.2 - Prob. 8CYUCh. 12.2 - Prob. 9CYUCh. 12.2 - Prob. 10CYUCh. 12.2 - Prob. 11PPSCh. 12.2 - Prob. 12PPSCh. 12.2 - Prob. 13PPSCh. 12.2 - Prob. 14PPSCh. 12.2 - Prob. 15PPSCh. 12.2 - Prob. 16PPSCh. 12.2 - Prob. 17PPSCh. 12.2 - Prob. 18PPSCh. 12.2 - Prob. 19PPSCh. 12.2 - Prob. 20PPSCh. 12.2 - Prob. 21PPSCh. 12.2 - Prob. 22PPSCh. 12.2 - Prob. 23PPSCh. 12.2 - Prob. 24PPSCh. 12.2 - Prob. 25PPSCh. 12.2 - Prob. 26PPSCh. 12.2 - Prob. 27PPSCh. 12.2 - Prob. 29HPCh. 12.2 - Prob. 30HPCh. 12.2 - Prob. 31HPCh. 12.2 - Prob. 32HPCh. 12.2 - Prob. 33HPCh. 12.2 - Prob. 34HPCh. 12.2 - Prob. 35HPCh. 12.2 - Prob. 36HPCh. 12.2 - Prob. 37HPCh. 12.2 - Prob. 38STPCh. 12.2 - Prob. 39STPCh. 12.2 - Prob. 40STPCh. 12.2 - Prob. 41STPCh. 12.2 - Prob. 42SCh. 12.2 - Prob. 43SCh. 12.2 - Prob. 44SCh. 12.2 - Prob. 45SCh. 12.3 - Prob. 1CYPCh. 12.3 - Prob. 2CYPCh. 12.3 - Prob. 3CYPCh. 12.3 - Prob. 1CYUCh. 12.3 - Prob. 2CYUCh. 12.3 - Prob. 3CYUCh. 12.3 - Prob. 4CYUCh. 12.3 - Prob. 5CYUCh. 12.3 - Prob. 6CYUCh. 12.3 - Prob. 7PPSCh. 12.3 - Prob. 8PPSCh. 12.3 - Prob. 9PPSCh. 12.3 - Prob. 10PPSCh. 12.3 - Prob. 11PPSCh. 12.3 - Prob. 12PPSCh. 12.3 - Prob. 13PPSCh. 12.3 - Prob. 14PPSCh. 12.3 - Prob. 15PPSCh. 12.3 - Prob. 16PPSCh. 12.3 - Prob. 17PPSCh. 12.3 - Prob. 18PPSCh. 12.3 - Prob. 19PPSCh. 12.3 - Prob. 20PPSCh. 12.3 - Prob. 21PPSCh. 12.3 - Prob. 22PPSCh. 12.3 - Prob. 23HPCh. 12.3 - Prob. 24HPCh. 12.3 - Prob. 25HPCh. 12.3 - Prob. 26HPCh. 12.3 - Prob. 27HPCh. 12.3 - Prob. 28HPCh. 12.3 - Prob. 29HPCh. 12.3 - Prob. 30HPCh. 12.3 - Prob. 31HPCh. 12.3 - Prob. 32STPCh. 12.3 - Prob. 33STPCh. 12.3 - Prob. 34STPCh. 12.3 - Prob. 35STPCh. 12.3 - Prob. 36SCh. 12.3 - Prob. 37SCh. 12.3 - Prob. 38SCh. 12.3 - Prob. 39SCh. 12.3 - Prob. 40SCh. 12.3 - Prob. 41SCh. 12.4 - Prob. 1CYPCh. 12.4 - Prob. 2CYPCh. 12.4 - Prob. 3CYPCh. 12.4 - Prob. 4ACYPCh. 12.4 - Prob. 4BCYPCh. 12.4 - Prob. 4CCYPCh. 12.4 - Prob. 5CYPCh. 12.4 - Prob. 1CYUCh. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 3CYUCh. 12.4 - Prob. 4CYUCh. 12.4 - Prob. 5CYUCh. 12.4 - Prob. 6PPSCh. 12.4 - Prob. 7PPSCh. 12.4 - Prob. 8PPSCh. 12.4 - Prob. 9PPSCh. 12.4 - Prob. 10PPSCh. 12.4 - Prob. 11PPSCh. 12.4 - Prob. 12PPSCh. 12.4 - Prob. 13PPSCh. 12.4 - Prob. 14PPSCh. 12.4 - Prob. 15PPSCh. 12.4 - Prob. 16PPSCh. 12.4 - Prob. 17PPSCh. 12.4 - Prob. 18PPSCh. 12.4 - Prob. 19PPSCh. 12.4 - Prob. 20PPSCh. 12.4 - Prob. 21PPSCh. 12.4 - Prob. 22PPSCh. 12.4 - Prob. 23PPSCh. 12.4 - Prob. 24PPSCh. 12.4 - Prob. 25PPSCh. 12.4 - Prob. 26PPSCh. 12.4 - Prob. 27PPSCh. 12.4 - Prob. 28PPSCh. 12.4 - Prob. 29PPSCh. 12.4 - Prob. 30PPSCh. 12.4 - Prob. 31PPSCh. 12.4 - Prob. 32PPSCh. 12.4 - Prob. 33STPCh. 12.4 - Prob. 34STPCh. 12.4 - Prob. 35STPCh. 12.4 - Prob. 36STPCh. 12.4 - Prob. 37STPCh. 12.4 - Prob. 38STPCh. 12.4 - Prob. 39STPCh. 12.4 - Prob. 40STPCh. 12.4 - Prob. 41STPCh. 12.4 - Prob. 42STPCh. 12.4 - Prob. 43STPCh. 12.4 - Prob. 44STPCh. 12.4 - Prob. 45STPCh. 12.4 - Prob. 46STPCh. 12.4 - Prob. 47STPCh. 12.4 - Prob. 48SCh. 12.4 - Prob. 49SCh. 12.4 - Prob. 50SCh. 12.4 - Prob. 51SCh. 12.4 - Prob. 52SCh. 12.4 - Prob. 53SCh. 12.5 - Prob. 1CYPCh. 12.5 - Prob. 2CYPCh. 12.5 - Prob. 3CYPCh. 12.5 - Prob. 4CYPCh. 12.5 - Prob. 1CYUCh. 12.5 - Prob. 2CYUCh. 12.5 - Prob. 3CYUCh. 12.5 - Prob. 4PPSCh. 12.5 - Prob. 5PPSCh. 12.5 - Prob. 6PPSCh. 12.5 - Prob. 7PPSCh. 12.5 - Prob. 8PPSCh. 12.5 - Prob. 9PPSCh. 12.5 - Prob. 10PPSCh. 12.5 - Prob. 11PPSCh. 12.5 - Prob. 12PPSCh. 12.5 - Prob. 13PPSCh. 12.5 - Prob. 14PPSCh. 12.5 - Prob. 15PPSCh. 12.5 - Prob. 16HPCh. 12.5 - Prob. 17HPCh. 12.5 - Prob. 18HPCh. 12.5 - Prob. 19HPCh. 12.5 - Prob. 21HPCh. 12.5 - Prob. 22HPCh. 12.5 - Prob. 23HPCh. 12.5 - Prob. 24HPCh. 12.5 - Prob. 25HPCh. 12.5 - Prob. 26HPCh. 12.5 - Prob. 27STPCh. 12.5 - Prob. 28STPCh. 12.5 - Prob. 29STPCh. 12.5 - Prob. 30STPCh. 12.5 - Prob. 31STPCh. 12.5 - Prob. 32STPCh. 12.5 - Prob. 33SCh. 12.5 - Prob. 34SCh. 12.5 - Prob. 35SCh. 12.5 - Prob. 36SCh. 12.5 - Prob. 1ECh. 12.5 - Prob. 2ECh. 12.6 - Prob. 1CYPCh. 12.6 - Prob. 2CYPCh. 12.6 - Prob. 1CYUCh. 12.6 - Prob. 2CYUCh. 12.6 - Prob. 3CYUCh. 12.6 - Prob. 4CYUCh. 12.6 - Prob. 5CYUCh. 12.6 - Prob. 6CYUCh. 12.6 - Prob. 7CYUCh. 12.6 - Prob. 8CYUCh. 12.6 - Prob. 9CYUCh. 12.6 - Prob. 10CYUCh. 12.6 - Prob. 11PPSCh. 12.6 - Prob. 12PPSCh. 12.6 - Prob. 13PPSCh. 12.6 - Prob. 14PPSCh. 12.6 - Prob. 15PPSCh. 12.6 - Prob. 16PPSCh. 12.6 - Prob. 17PPSCh. 12.6 - Prob. 18PPSCh. 12.6 - Prob. 19PPSCh. 12.6 - Prob. 20PPSCh. 12.6 - Prob. 21PPSCh. 12.6 - Prob. 22PPSCh. 12.6 - Prob. 23PPSCh. 12.6 - Prob. 24PPSCh. 12.6 - Prob. 25PPSCh. 12.6 - Prob. 26PPSCh. 12.6 - Prob. 27PPSCh. 12.6 - Prob. 28PPSCh. 12.6 - Prob. 29HPCh. 12.6 - Prob. 30HPCh. 12.6 - Prob. 31HPCh. 12.6 - Prob. 33HPCh. 12.6 - Prob. 34HPCh. 12.6 - Prob. 35HPCh. 12.6 - Prob. 36HPCh. 12.6 - Prob. 37HPCh. 12.6 - Prob. 38STPCh. 12.6 - Prob. 39STPCh. 12.6 - Prob. 40STPCh. 12.6 - Prob. 41STPCh. 12.6 - Prob. 42STPCh. 12.6 - Prob. 43STPCh. 12.6 - Prob. 44STPCh. 12.6 - Prob. 45STPCh. 12.6 - Prob. 46STPCh. 12.6 - Prob. 47STPCh. 12.6 - Prob. 48STPCh. 12.6 - Prob. 49SCh. 12.6 - Prob. 50SCh. 12.6 - Prob. 51SCh. 12.7 - Prob. 1CYPCh. 12.7 - Prob. 2CYPCh. 12.7 - Prob. 3CYPCh. 12.7 - Prob. 4CYPCh. 12.7 - Prob. 5CYPCh. 12.7 - Prob. 6CYPCh. 12.7 - Prob. 7CYPCh. 12.7 - Prob. 8CYPCh. 12.7 - Prob. 1CYUCh. 12.7 - Prob. 2CYUCh. 12.7 - Prob. 3CYUCh. 12.7 - Prob. 4CYUCh. 12.7 - Prob. 5CYUCh. 12.7 - Prob. 6CYUCh. 12.7 - Prob. 7PPSCh. 12.7 - Prob. 8PPSCh. 12.7 - Prob. 9PPSCh. 12.7 - Prob. 10PPSCh. 12.7 - Prob. 11PPSCh. 12.7 - Prob. 12PPSCh. 12.7 - Prob. 13PPSCh. 12.7 - Prob. 14PPSCh. 12.7 - Prob. 15PPSCh. 12.7 - Prob. 16PPSCh. 12.7 - Prob. 17PPSCh. 12.7 - Prob. 18PPSCh. 12.7 - Prob. 19PPSCh. 12.7 - Prob. 20PPSCh. 12.7 - Prob. 21PPSCh. 12.7 - Prob. 22PPSCh. 12.7 - Prob. 23PPSCh. 12.7 - Prob. 24PPSCh. 12.7 - Prob. 25PPSCh. 12.7 - Prob. 26PPSCh. 12.7 - Prob. 27PPSCh. 12.7 - Prob. 28PPSCh. 12.7 - Prob. 29PPSCh. 12.7 - Prob. 30PPSCh. 12.7 - Prob. 31PPSCh. 12.7 - Prob. 32PPSCh. 12.7 - Prob. 33PPSCh. 12.7 - Prob. 34PPSCh. 12.7 - Prob. 35PPSCh. 12.7 - Prob. 36PPSCh. 12.7 - Prob. 37PPSCh. 12.7 - Prob. 38PPSCh. 12.7 - Prob. 39PPSCh. 12.7 - Prob. 40PPSCh. 12.7 - Prob. 41PPSCh. 12.7 - Prob. 42HPCh. 12.7 - Prob. 43HPCh. 12.7 - Prob. 44HPCh. 12.7 - Prob. 46HPCh. 12.7 - Prob. 47HPCh. 12.7 - Prob. 48HPCh. 12.7 - Prob. 49HPCh. 12.7 - Prob. 50HPCh. 12.7 - Prob. 51HPCh. 12.7 - Prob. 52STPCh. 12.7 - Prob. 53STPCh. 12.7 - Prob. 54STPCh. 12.7 - Prob. 55STPCh. 12.7 - Prob. 56STPCh. 12.7 - Prob. 57STPCh. 12.7 - Prob. 58STPCh. 12.7 - Prob. 59STPCh. 12.7 - Prob. 60STPCh. 12.7 - Prob. 61STPCh. 12.7 - Prob. 62STPCh. 12.7 - Prob. 63STPCh. 12.7 - Prob. 64STPCh. 12.7 - Prob. 65STPCh. 12.7 - Prob. 66STPCh. 12.7 - Prob. 67STPCh. 12.7 - Prob. 68STPCh. 12.7 - Prob. 69STPCh. 12.7 - Prob. 70STPCh. 12.7 - Prob. 71STPCh. 12.7 - Prob. 72SCh. 12 - Prob. 1QCCh. 12 - Prob. 2QCCh. 12 - Prob. 3QCCh. 12 - Prob. 4QCCh. 12 - Prob. 5QCCh. 12 - Prob. 6QCCh. 12 - Prob. 7QCCh. 12 - Prob. 8QCCh. 12 - Prob. 9QCCh. 12 - Prob. 10QCCh. 12 - Prob. 11QCCh. 12 - Prob. 12QCCh. 12 - Prob. 13QCCh. 12 - Prob. 14QCCh. 12 - Prob. 1MCQCh. 12 - Prob. 2MCQCh. 12 - Prob. 3MCQCh. 12 - Prob. 4MCQCh. 12 - Prob. 5MCQCh. 12 - Prob. 6MCQCh. 12 - Prob. 7MCQCh. 12 - Prob. 8MCQCh. 12 - Prob. 9MCQCh. 12 - Prob. 10MCQCh. 12 - Prob. 11MCQCh. 12 - Prob. 12MCQCh. 12 - Prob. 13MCQCh. 12 - Prob. 14MCQCh. 12 - Prob. 15MCQCh. 12 - Prob. 1SGRCh. 12 - Prob. 2SGRCh. 12 - Prob. 3SGRCh. 12 - Prob. 4SGRCh. 12 - Prob. 5SGRCh. 12 - Prob. 6SGRCh. 12 - Prob. 7SGRCh. 12 - Prob. 8SGRCh. 12 - Prob. 9SGRCh. 12 - Prob. 10SGRCh. 12 - Prob. 11SGRCh. 12 - Prob. 12SGRCh. 12 - Prob. 13SGRCh. 12 - Prob. 14SGRCh. 12 - Prob. 15SGRCh. 12 - Prob. 16SGRCh. 12 - Prob. 17SGRCh. 12 - Prob. 18SGRCh. 12 - Prob. 19SGRCh. 12 - Prob. 20SGRCh. 12 - Prob. 21SGRCh. 12 - Prob. 22SGRCh. 12 - Prob. 23SGRCh. 12 - Prob. 24SGRCh. 12 - Prob. 25SGRCh. 12 - Prob. 26SGRCh. 12 - Prob. 27SGRCh. 12 - Prob. 28SGRCh. 12 - Prob. 29SGRCh. 12 - Prob. 30SGRCh. 12 - Prob. 31SGRCh. 12 - Prob. 32SGRCh. 12 - Prob. 33SGRCh. 12 - Prob. 34SGRCh. 12 - Prob. 35SGRCh. 12 - Prob. 36SGRCh. 12 - Prob. 37SGRCh. 12 - Prob. 38SGRCh. 12 - Prob. 39SGRCh. 12 - Prob. 40SGRCh. 12 - Prob. 41SGRCh. 12 - Prob. 42SGRCh. 12 - Prob. 43SGRCh. 12 - Prob. 44SGRCh. 12 - Prob. 1PTCh. 12 - Prob. 2PTCh. 12 - Prob. 3PTCh. 12 - Prob. 4PTCh. 12 - Prob. 5PTCh. 12 - Prob. 6PTCh. 12 - Prob. 7PTCh. 12 - Prob. 8PTCh. 12 - Prob. 9PTCh. 12 - Prob. 10PTCh. 12 - Prob. 11PTCh. 12 - Prob. 12PTCh. 12 - Prob. 13PTCh. 12 - Prob. 14PTCh. 12 - Prob. 15PTCh. 12 - Prob. 16PTCh. 12 - Prob. 17PTCh. 12 - Prob. 18PTCh. 12 - Prob. 19PTCh. 12 - Prob. 20PTCh. 12 - Prob. 21PTCh. 12 - Prob. 22PTCh. 12 - Prob. 1ECh. 12 - Prob. 2ECh. 12 - Prob. 1STPCh. 12 - Prob. 2STPCh. 12 - Prob. 3STPCh. 12 - Prob. 4STPCh. 12 - Prob. 5STPCh. 12 - Prob. 6STPCh. 12 - Prob. 7STPCh. 12 - Prob. 8STPCh. 12 - Prob. 9STPCh. 12 - Prob. 10STPCh. 12 - Prob. 11STPCh. 12 - Prob. 12STPCh. 12 - Prob. 13STPCh. 12 - Prob. 14STPCh. 12 - Prob. 15STPCh. 12 - Prob. 16STP
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