Reference no: EM132845462

1. Every day, Carmen walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, with all times being equally likely (i.e., a uniform distribution). This means that the mean wait time is 6 minutes, with a variance of 12 minutes. What is the probability that her total wait time over the course of 60 days is less than 5.5 hours? options 0.132,0.483,0.5,0.868

2. Every day, Luann walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, with all times being equally likely (i.e., a uniform distribution). This means that the mean wait time is 6 minutes, with a variance of 12 minutes. What is the 10th percentile of her total wait time over the course of 60 days?

3. The average length of a viewing session on Twitch is 40 minutes, with a variance of 100. In a random sample of 50 Twitch viewing sessions, what is the probability that the sample mean is between 38 and 42?

4. A random digit dialing poll was conducted, and participants were asked the following question: "Do you personally enjoy the work of artist Mark Rothko?" (All respondents answered either "yes" or "no".)

If in the entire population, the true proportion of people who would answer "yes" is 0.55, what is the probability that the sample mean would be less than 0.5 in a sample of 200 people?

5. Of children born between 1980 and 1985, the probability that a randomly chosen individual has played the original game "Oregon Trail" when they were in elementary school is 0.94.
In a random sample of 350 adults born between 1980 and 1985, what is the probability that the sample mean will be greater than 0.95?

6. The average length of time it takes to complete a Ph.D. in statistics is 5.2 years, with a standard deviation of 0.7 years.
In a random sample of 40 individuals with a Ph.D. in statistics, what is the approximate probability that the sample average of Ph.D. completion time was greater than 5.4 years?

7. The average length of time it takes to complete a Ph.D. in statistics is 5.2 years, with a standard deviation of 0.7 years.
In a random sample of 40 individuals with a Ph.D. in statistics, what is the 90th percentile of the sum total amount of time that all 40 spent in grad school?

8. The battery life of a new brand of cell phones, Enigma, follows a uniform distribution with a mean of 18 hours. This implies that the variance of battery life is 324 hours. Based on a random sample of 49 randomly chosen Enigma cell phones, what is the approximate probability that that sample mean is less than 19 hours?

9. The battery life of a new brand of cell phones, Enigma, follows a uniform distribution with a mean of 18 hours. This implies that the variance of battery life is 324 hours. Based on a random sample of 49 randomly chosen Enigma cell phones, what is the 95th percentile of the sample mean of battery life?

10. From August 16-19, 2020, Redfield & Wilton Strategies conducted a poll of 672 likely voters in Wisconsin asking them who they would vote for in the 2020 presidential election. 329 (p= 0.49) people responded that they would be voting for Joe Biden.

If the true proportion of likely voters who will be voting for Biden in all of Wisconsin is 0.5, what is the probability of observing a sample mean less than what was actually observed (p=0.49)?