The data set represents the income levels of the members of a country club. Estimate the probability that a randomly selected member earns at least $98,000.

112,000 126,000 90,000 133,000 94,000 112,000 98,000 82,000 147,000 182,000 86,000 105,000

140,000 94,000 126,000 119,000 98,000 154,000 78,000 119,000

MY ANSWER IS 0.6. AM I RIGHT?

Find the mean first = sum of scores/number of scores

Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.

Standard deviation = square root of variance

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.

If you did all this without error, then you are right.

To estimate the probability that a randomly selected member earns at least $98,000, you need to determine the total number of members and the number of members who earn at least $98,000.

In the given dataset, there are 20 members.

Out of these 20 members, there are 12 members who earn at least $98,000: 112,000, 126,000, 133,000, 112,000, 98,000, 147,000, 182,000, 105,000, 140,000, 126,000, 119,000, and 154,000.

To calculate the probability, divide the number of members who earn at least $98,000 (12) by the total number of members (20):

Probability = Number of members who earn at least $98,000 / Total number of members

Probability = 12 / 20

Probability = 0.6

Therefore, your answer of 0.6 is correct.

To estimate the probability that a randomly selected member earns at least $98,000, we need to calculate the proportion of members with incomes greater than or equal to $98,000.

First, let's count the number of members with incomes greater than or equal to $98,000. From the given data set, we have:

112,000 126,000 90,000 133,000 94,000 112,000 98,000 82,000 147,000 182,000 86,000 105,000
140,000 94,000 126,000 119,000 98,000 154,000 78,000 119,000

There are 12 members with incomes greater than or equal to $98,000.

Next, we count the total number of members in the data set, which is 20.

Now, we can calculate the probability:

Probability = (Number of members with incomes greater than or equal to $98,000) / (Total number of members)
Probability = 12 / 20
Probability = 0.6

Therefore, your answer of 0.6 is correct. The estimated probability that a randomly selected member earns at least $98,000 is 0.6 or 60%.