Use a normal approximation to find the probability of the indicated number of voters. in this case, assume that 134 eligible voters aged 18-24 are randomly selected. suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. what is the probabilty that fewer than 32 of 134 eligible voters voted?

The distribution of apple follows a normal distribution.

The probability that  fewer than 32 of 134 eligible voters voted is 0.70

The given parameters are:

--- proportion of those that voted

--- standard deviation

First, we calculate the mean

So, we have:

Next, calculate the standard deviation

So, we have:

Next, we calculate the z score

Substitute known values

So, the probability that fewer than 32 voted is:

This gives

From z-score table, we have:

This means that:

Approximate

Hence,  the probability that  fewer than 32 of 134 eligible voters voted is 0.70

Read more about probabilities of normal distributions at:

link

The Required Probability is 0.8525

Step-by-step explanation:

Given:

Number of people, n = 134

Proportion of people voted , p = 22% = 0.22

To find: the Probability that fewer than 32 of 134 eligible voters voted.

First we find the mean and Standard deviation,

Means,

Standard Deviation,

Now the Probability,

Therefore, The Required Probability is 0.8525