In the year 2002 the population of a town was 324000people. Out of these, 55%were females and 2/5of the town population were adults above 25years. If a person was picked at random from this town during that year, find the probability that the person was (a)below 25years (b)male and above 25years

To solve this problem, we first need to find out the number of females, adults above 25 years, and then use these numbers to find the probabilities.

Step 1: Find the number of females in the town. 55% of the population were females. So, the number of females is 55/100 * 324000 = 178200.

Step 2: Find the number of adults above 25 years in the town. 2/5 of the population were adults above 25 years. So, the number of adults above 25 years is 2/5 * 324000 = 129600.

(a) Find the probability that the person was below 25 years. The number of people below 25 years is the total population minus the number of adults above 25 years. So, the number of people below 25 years is 324000 - 129600 = 194400. The probability that a person picked at random is below 25 years is the number of people below 25 years divided

Sure, let's break it down:

a) To find the probability that the person was below 25 years, we first need to find out how many people were above 25 years.

The problem states that 2/5 of the town population were adults above 25 years. So, we multiply the total population by 2/5:

324000 * 2/5 = 129600 people

This means that there were 129600 people who were above 25 years old. To find the number of people below 25, we subtract this number from the total population:

324000 - 129600 = 194400 people

The probability of picking a person below 25 at random is then the number of people below 25 divided by the total population:

194400 / 324000 = 0.6 or

Sure, let's break it down:

(a) To find the probability that the person was below 25 years:

First, we need to find the number of adults above 25 years. We know that 2/5 of the town population were adults above 25 years. So,

324000 * 2/5 = 129600 people

Since the total population is 324000, the number of people below 25 years is:

324000 - 129600 = 194400 people

The probability that a person picked at random is below 25 years is therefore:

194400 / 324000 = 0.6 or 60%

(b) To find the probability that the person was male and above 25 years:

First, we need to find the number of males. We know that 55% of the population were females, so 45% were males. So,

324000 * 45/100 = 145800 males

Assuming that the distribution of males and females is the same in the group of people above 25 years and below 25 years, we can say that 45% of the adults above 25 years are males. So,

129600 * 45/100 = 58320 males above 25 years

The probability that a person picked at random is a male and above 25 years is therefore:

58320 / 324000 = 0.18 or 18%

Sure, let's break it down:

(a) To find the probability that the person was below 25 years:

First, we need to find the number of adults above 25 years. We know that 2/5 of the town population were adults above 25 years. So, the number of adults above 25 years is 2/5 * 324000 = 129600 people.

Therefore, the number of people below 25 years is the total population minus the number of adults above 25 years. That is 324000 - 129600 = 194400 people.

The probability that a person picked at random is below 25 years is the number of people below 25 years divided by the total population. So, the probability is 194400 / 324000 = 0.6 or 60%.

(b) To find the probability that the person was male and above 25 years:

First, we need to find the number of males. We know that 55% of the population were females, so 45% were males. The number of males is 45/100 * 324000 = 145800 people.

We also know that 2/5 of the town population were adults above 25 years. Assuming that the male and female populations are equally distributed across age groups, 2/5 of the male population are also adults above 25 years. So, the number of males above 25 years is 2/5 * 145800 = 58320 people.

The probability that a person picked at random is a male and above 25 years is the number of males above 25 years divided by the total population. So, the probability is 58320 / 324000 = 0.18 or 18%.

To solve this problem, we first need to find out the number of females, adults above 25 years, and males in the town.

Step 1: Calculate the number of females in the town. 55% of the town's population are females. So, the number of females is 55/100 * 324000 = 178200.

Step 2: Calculate the number of adults above 25 years in the town. 2/5 of the town's population are adults above 25 years. So, the number of adults above 25 years is 2/5 * 324000 = 129600.

Step 3: Calculate the number of males in the town. The number of males is the total population minus the number of females. So, the number of males is 324000 - 178200 = 145800.

(a) To find the probability that a person picked at random is below 25 years, we need to subtract the number of adults above 25 years from the total population and divide by the total population. The number of people below 25 years is 324000 - 129600 = 194400. So, the probability is 194400 / 324000 = 0.6 or 60%.

(b) To find the probability that a person picked at random is a male and above 25 years, we need to find the intersection of males and adults above 25 years. Since we don't have this information, we can't calculate this probability. We would need additional information, such as the percentage of males who are above 25 years.