(Solved): please help!  Course Project - Part 2 Instructions: Answer every part of each question. Make su ...

Course Project - Part 2 Instructions: Answer every part of each question. Make sure to read each problem carefully and show all of your work (any calculations/numbers you used to arrive at your answer). Problem 1: A survey of 800 college students at a local university was conducted to gather information regarding student life on campus. As part of the survey students were asked what their major/intended degree was and how many clubs they were members of on campus. Below you can see a summary of this data. Use this information to answer the questions that follow. (Make sure to fill out the totals before answering the questions) Engineering History 0 Clubs 1 Club 2 Clubs 3+ Clubs Total 80 82 23 12 9 0 1 6 Psychology Business Admin. 113 66 3 10 123 99 43 9 Crim. Justice Total 56 44 12 9 Question 1a (1 point): Find the probability that a randomly selected student is in 3+ clubs and is a history major. Write your answer as a fraction or a decimal rounded to 3 decimal places. Question 1b (1 point): Find the probability that a randomly selected student is not a criminal justice major. Write your answer as a fraction or a decimal rounded to 3 decimal places. Question 1c (1 point): Find the probability that a randomly selected student is in 0 clubs or is a psychology major. Write your answer as a fraction or a decimal rounded to 3 decimal places. Question 1d (1 point): Find the probability that a randomly selected student is in 0 or 1 clubs. Write your answer as a fraction or a decimal rounded to 3 decimal places. Problem 2: A study was conducted to gather information regarding pet ownership in the U.S.. One piece of information that was collected during this study was the number of pets owned per household. Below you can see a table that shows the proportion of households that owned a certain number of pets. Use this information to answer the questions that follow. # of Pets Probability 0 0.30 1 0.35 2 0.22 3 0.10 4 0.01 5 0.02 Question 2a (1 point): Find the probability that a randomly selected U.S. household owns 3 or more pets. Write your answer as a fraction or a decimal rounded to 3 decimal places. Question 2b (1 point): Find the probability that a randomly selected U.S. household owns anywhere from 1 to 4 pets. Write your answer as a fraction or a decimal rounded to 3 decimal places. Question 2c (1 point): Find the probability that a randomly selected U.S. household owns no more than 2 pets. Write your answer as a fraction or a decimal rounded to 3 decimal places. Question 2d (1 point): Calculate the mean for the given distribution. Write your answer as a fraction or a decimal rounded to 3 decimal places. Problem 3: A study was conducted that centered around facial prototyping. As part of the study, people were told to look at pictures of the two men shown below and asked to answer the following question "Who is on the left, Bob or Tim?". 76.77% of participants in the study answered that "Tim" was on the left. Assuming that 76.77% of all people would indicate "Tim is on the left, use a binomial distribution to answer the following questions. Question 3a (1 point): Assuming that you randomly surveyed 42 people and asked them "Who is on the left, Bob or Tim?" What is the probability that no less than 30 of them would indicate "Tim" is on the left? Round your answer to 3 decimal places (i.e. if your answer was 0.54321 then you would write 0.543) Question 3b (1 point): Assuming that you randomly surveyed 42 people and asked them "Who is on the left, Bob or Tim?" What is the probability that at most 38 of them would indicate "Tim" is on the left? Round your answer to 3 decimal places (i.e. if your answer was 0.54321 then you would write 0.543) Question 3c (1 point): Assuming that you randomly surveyed 42 people and asked them "Who is on the left, Bob or Tim?" How many people would you expect to respond that "Tim" is on the left? Round your answer to the nearest whole number. Question 3d (1 point): Assuming that you randomly surveyed 42 people and asked them "Who is on the left, Bob or Tim?" What is the probability that anywhere from 10 to 20 of them would indicate "Bob" is on the left? Write your answer as a decimal rounded to 3 places. (Note: We are interested in "Bob" instead of "Tim" in this scenario) Problem 4: Based on data collected by a job recruiting website the average salary for someone living in California is $62,356 per year. Let's assume the true standard deviation for CA salaries is $10,600 and that these salaries follow a normal distribution. Use this information to answer the following questions. Round your answers to 3 decimal places (i.e. if your answer was 0.54321 then you would write 0.543) Question 4a (1 point): Find the probability that a randomly selected individual working in California has a salary greater than $60,000 per year. Question 4b (1 point): Find the probability that a randomly selected individual working in California has a salary between $62,500 & $76,500 per year. Question 4c (1 point): Find the probability that a randomly selected individual working in California has a salary that is no larger than $80,000 per year. Question 4d (1 point): Find the annual salary that would correspond to the 90th percentile for individuals living in California.