Question

A teacher gives an unannounced, three-question true false pop quiz, with two possible answers to each question. Complete parts (a)-(C) below. 2. Use a tree diagram to show the possible response patterns, in terms of whether any given response is correct or wrong. Choose the correct answer below. ОА OB OC OD C w w How many outcomes are in the sample space? There are outcomes in the sample space. b. An unprepared student guesses all the answers randomly. Find the probability the student's first and third answers are correct and his second answer is wrong. The probability of the student's answers being CWC is - (Type an integer or a decimal. Do not round.) c. Refer to (b). Using the tree diagram, evaluate the probability of passing the quiz, which the teacher defines as answering no more than two questions wrong. The probability of passing the quiz by guessing randomly is (Type an integer or a decimal. Do not round.)

Answer 1

Auswer) The tree diagram for the mentioned situation will be as follows с C с w ( 3 / 3_اندن i he optioned is correct لمه فما There are 12²28 outcomes in sample space. Szkle,6, (); (C, C,W);((, w, c); (C, W, W); (wo, C, C); Cew, C, col; (ww, w, c); (ww, o,ew) } p(student answer being cwc) = favourable outcome - b 2 8 tofal outcome © P (passing quing by guessing randomly) no more than two questions wrong 21- Planswering all ewrong) - 2 plauswering 1 2 1 8 8.

The correct answer is boxed.

In the above image, P stands for probability and S stands for sample space.

Hope this helps you !!!