SOLUTION: In a certain large city 50% of the eligible voters actually voted in the last election. If 5 eligible voters are selected at random, what is the probability that at least 2 of them
Algebra.Com
Question 972169: In a certain large city 50% of the eligible voters actually voted in the last election. If 5 eligible voters are selected at random, what is the probability that at least 2 of them voted in the last election? Assume that the population of the city is so large that the probability of voting is 1/2 for each eligible voter selected.
I only know how to barely start out the problem as I know we choose 5 random people but when it comes to the 1/2 I get very confused!
Please help and show work, the answers are: 1/2, 25/32, 13/16, 17/32, 5/8, or none.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
With at least 2, do the probability of 0 or 1 and subtract from 1. It is easier to find what you DON'T want and subtract it from 1.
P(0)= (1/2)^5
P(1)=5 different ways the 1 who voted may be chosen *(1/2)^4 * (1/2)
The first is (1/32). The second is 5/32. That is 6/32. Subtract from 1 and you get 26/32=13/16.
RELATED QUESTIONS
In local election, 75% of the eligible voters voted for more primary schools, 15% of... (answered by addingup)
A town's election for mayor drew 75% of the town's 800 eligible voters. What is the... (answered by stanbon)
It is believed that 55% of the eligible voters in the U.S. will vote on election day. If... (answered by stanbon)
in the last municipal election, 62 1/2% of the population of 94,800 was eligible to vote. (answered by Fombitz)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by ewatrrr)
Can someone please help?
Use a normal approximation to find the probability of the... (answered by stanbon)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by Boreal)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by Boreal)
Use a normal approximation to find the probability of the indicated number of voters. In... (answered by CPhill)