a) Based on a table in problem 2, what is the probability that a randomly selscted student is 20 to 24 years old? b) Suppose we want to select a random sample of 6 college students. Let X be the number of students that are 20 to 24 year olds in the sample. Is X a binomial random variable?  Explain. If it is, identify n and p. c) What is the probability that at most 2 students in the sample will be in 20-24 age group?

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a) Based on a table in problem 2, what is the probability that a randomly selscted student is 20 to 24 years old? b) Suppose we want to select a random sample of 6 college students. Let X be the number of students that are 20 to 24 year olds in the sample. Is X a binomial random variable?  Explain. If it is, identify n and p. c) What is the probability that at most 2 students in the sample will be in 20-24 age group?
The table displays data on the number of individuals in different age groups, further divided by gender. The data is organized as follows:

| Age Group        | Female | Male  |
|------------------|--------|-------|
| 15 to 19 years   | 2124   | 1876  |
| 20 to 24 years   | 2814   | 2648  |
| 25 to 34 years   | 703    | 536   |
| 35 years or older| 518    | 159   |

This table helps in analyzing the distribution of different age groups across genders. It can be used to identify trends and patterns in population demographics, such as which age group has the highest or lowest representation among males or females.
Transcribed Image Text:The table displays data on the number of individuals in different age groups, further divided by gender. The data is organized as follows: | Age Group | Female | Male | |------------------|--------|-------| | 15 to 19 years | 2124 | 1876 | | 20 to 24 years | 2814 | 2648 | | 25 to 34 years | 703 | 536 | | 35 years or older| 518 | 159 | This table helps in analyzing the distribution of different age groups across genders. It can be used to identify trends and patterns in population demographics, such as which age group has the highest or lowest representation among males or females.
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