Test 2 tistics wer of the following: 1. You have all the letters of the alphabet

Question

Test 2 tistics wer of the following: 1. You have all the letters of the alphabet in a box You must select the letters to spell the word "DANGER" to display in front of a live wire. a. What is the probability of selecting just those letters as your first six selections? b. What is the probability of selecting those letters in order as your first six selections? The outcomes of two variables are (Low Medium, High) a (On,off, respectively. An experiment is conducted in whic the outcomes of each of the two variables are observed. probabilities associated with each of the six possible oc come pairs are given in the accompanying two-way table. Medium High Low .05 .10 .50 On 03 .07 Off From the table above, determine the probability of a. Off

Explanation / Answer

1 a) No of possible combinations for selectting 6 letters from 26 = 26C6 = 26!/(20! x 6!)

= 230230

Probability of selecting the letters in DANGER = 1/230230 = 4.34x10-6

b) Probability of selecting the letters in the order D A N G E R = 1/(26P6) = 1/(26!/20!) = 6.03x10-9

2) a) P(off) = 0.25+0.07+0.03 = 0.35

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