Question

In: Statistics and Probability

Suppose you are going to randomly sample one individual from a population of 130 people. In...

Suppose you are going to randomly sample one individual from a population of 130 people. In the population, there are 40 children 12 or younger, 60 teenagers, and 30 adults age 20 or older. What is the probability the individual you select will be...

4a. Either a teenager or an adult? (2 Points)

4b. Either a child or a teenager? (2 Points)

4c. Either a child or an adult? (2 Points)

Solutions

Expert Solution

There are total 130 people in which

40 are children 12 or younger then probability of selecting a children from 130 people is = 40/130

60 teenagers then the probability of selecting the teenager from 130 people is = 60/130

30 are adults with age 20 or more then the probability of selecting the adult from 130 people is = 30/130

One is selected randomly from 130 people

4a. Eithera teenager or an adult

probability the individual you select will be Either a teenager or an adult is as follows

=(Probably of selecting teenager + probability of selecting adult )

= 60/130 + 30/130

= 90/130

= 0.692307692

4b. Either a child or a teenager

probability the individual you select will be Either a child or a teenagers is as follows

=(Probably of selecting child + probability of selecting teenager)

= 40/130 + 60/130

= 100/130

= 0.769230769

4c. Either a child or an adult

probability the individual you select will be Either a child or an adult is as follows

=(Probably of selecting child + probability of selecting an adult)

= 40/130 + 30/130

= 70/130

=0.538461538


Related Solutions

Suppose you are going to randomly sample one individual from a population of 130 people. In...
Suppose you are going to randomly sample one individual from a population of 130 people. In the population, there are 40 children 12 or younger, 60 teenagers, and 30 adults age 20 or older. What is the probability the individual you select will be... a. Either a teenager or an adult? b. Either a child or a teenager? c. Either a child or an adult?
A random sample of size n = 130 is taken from a population with a population...
A random sample of size n = 130 is taken from a population with a population proportion p = 0.58. (You may find it useful to reference the z table.) a. Calculate the expected value and the standard error for the sampling distribution of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) b. What is the probability that the sample proportion is between 0.50 and 0.70? (Round “z” value to 2...
Suppose that we will randomly select a sample of 64 measurements from a population having a...
Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 18 and a standard deviation equal to 5. (a) Describe the shape of the sampling distribution of the sample mean Picture. Do we need to make any assumptions about the shape of the population? Why or why not? ; , because the sample size is . (b) Find the mean and the standard deviation of the sampling distribution of the sample...
9) In a sample of 400 people selected randomly from one town, it is found that...
9) In a sample of 400 people selected randomly from one town, it is found that 130 of them are Gamecock Fans. At the 0.05 significance level, test the claim that the proportion of all people in the town who are Gamecock fans is 27%. A] What type of statistical test can be used here? a. Z-test of proportions            c. F Test                                e. Either c2 or λ Test b. a-Test of proportions           d. Either T or F-Test               f. T-Test...
A population proportion is 0.57. Suppose a random sample of 663 items is sampled randomly from...
A population proportion is 0.57. Suppose a random sample of 663 items is sampled randomly from this population. a. What is the probability that the sample proportion is greater than 0.59? b. What is the probability that the sample proportion is between 0.52 and 0.59? c. What is the probability that the sample proportion is greater than 0.55? d. What is the probability that the sample proportion is between 0.52 and 0.53? e. What is the probability that the sample...
A population proportion is 0.59. Suppose a random sample of 663 items is sampled randomly from...
A population proportion is 0.59. Suppose a random sample of 663 items is sampled randomly from this population. Appendix A Statistical Tables a. What is the probability that the sample proportion is greater than 0.60? b. What is the probability that the sample proportion is between 0.54 and 0.64? c. What is the probability that the sample proportion is greater than 0.57? d. What is the probability that the sample proportion is between 0.52 and 0.55? e. What is the...
A population proportion is 0.60. Suppose a random sample of 660 items is sampled randomly from...
A population proportion is 0.60. Suppose a random sample of 660 items is sampled randomly from this population. Appendix A Statistical Tables a. What is the probability that the sample proportion is greater than 0.62? b. What is the probability that the sample proportion is between 0.56 and 0.62? c. What is the probability that the sample proportion is greater than 0.59? d. What is the probability that the sample proportion is between 0.58 and 0.59? e. What is the...
A population proportion is 0.59. Suppose a random sample of 661 items is sampled randomly from...
A population proportion is 0.59. Suppose a random sample of 661 items is sampled randomly from this population. a. What is the probability that the sample proportion is greater than 0.60? b. What is the probability that the sample proportion is between 0.57 and 0.60? c. What is the probability that the sample proportion is greater than 0.57? d. What is the probability that the sample proportion is between 0.53 and 0.56? e. What is the probability that the sample...
A random sample of 130 observations produced a mean of ?⎯⎯⎯=36.1x¯=36.1 from a population with a...
A random sample of 130 observations produced a mean of ?⎯⎯⎯=36.1x¯=36.1 from a population with a normal distribution and a standard deviation σ=4.87. (a) Find a 95% confidence interval for μ ≤ μ ≤ (b) Find a 99% confidence interval for μ ≤ μ ≤ (c) Find a 90% confidence interval for μ ≤ μ ≤
Fifteen people were randomly selected from the population and randomly assigned to 1 of 3 experimental...
Fifteen people were randomly selected from the population and randomly assigned to 1 of 3 experimental groups. Group 3 was included as the control group and did not receive any treatment. Use the following data set to answer the questions. Group 1 Group 2 Group 3 21 25 32 53 54 41 44 26 86 72 32 75 Is there a significant difference (α=0.05) between at least two groups?   A. Yes B. No C. Not possible to determine D. Alpha...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT