Question

There is a 4% chance that a band’s lead singer’s voice isn’t working on any given day. The lead singer has been fine for 19 gigs this year. What is the probability that the lead singer’s voice will be fine at the next gig, 2 weeks from now?

a) 96%
b) 92%
c) 88%
d) 84%

Answer 1

The probability that the lead singer's voice will be fine at the next gig is 96%, so the correct answer is a) 96%. This doesn't depend on the singer's previous 19 successful gigs.

Step-by-step explanation:

The question asks about the probability that a band’s lead singer’s voice will be fine for the next gig. The probability that the singer's voice isn't working on any given day is 4%, which means the probability that the singer's voice will be fine is 100% - 4%, or 96%. Therefore, irrespective of the singer's past performance over 19 gigs, the probability that the singer's voice will be fine at the next gig, 2 weeks from now, remains 96%. So, the correct answer is a) 96%. Additionally, the random selection of one week in Ellen's music practice shows the different probabilities of how many days she might practice. The variable X takes on the values representing the number of practice days: 3, 2, 1, or 0.