QUESTION IMAGE
Question
a poll showed that 43.2% of americans say they believe that some psychics can help solve murder cases. what is the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases. report the answer as a percent rounded to one decimal place accuracy. you need not enter the % symbol. prob = % question help: video message instructor
Step1: Recall probability rule
The total probability is 100% or 1 in decimal form. The probability of an event not - occurring is 1 minus the probability of the event occurring.
Step2: Calculate the probability
Let $P(A)$ be the probability that someone believes psychics can help solve murder cases, and $P(\overline{A})$ be the probability that someone does not believe. We know $P(A)=43.2\% = 0.432$ in decimal form. Then $P(\overline{A})=1 - P(A)$.
$P(\overline{A})=1 - 0.432=0.568$.
Step3: Convert to percentage and round
To convert 0.568 to a percentage, we multiply by 100: $0.568\times100 = 56.8\%$.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
56.8