Question

An experiment consists of selecting a letter at random from the Hatters in the word RALEFGH and observing the outcomes. Enter your answers as a comma-separatid list. (Entor is fur the imposible event.) (a) What is an appropriate sample space S for this experimant? s={1} (b) What is the event E "the letter-seiected is a vowel?" Fi={ } (c) What is the event F the lettor selected is a vower or is not an ky

Answer 1

The sample space is {R, A, L, E, F, G, H}. The event E, 'the letter selected is a vowel', is {A, E}. The event F, 'the letter selected is a vowel or is not a K', is {A, E, R, L, F, G, H}.

Step-by-step explanation:

The sample space for this experiment is S = {R, A, L, E, F, G, H}. Each letter in the word 'RALEFGH' represents a possible outcome when selecting a letter at random.

The event E, 'the letter selected is a vowel', would be E = {A, E}. These are the letters in the sample space that are vowels.

The event F, 'the letter selected is a vowel or is not a K', would be F = {A, E, R, L, F, G, H}. These are the letters in the sample space that are either vowels or not the letter K.