Author: Anonymous

Data indicates that 72% of voters favor a certain ballot measure. For groups of 68 voters, find the variance. Hint: the distribution is binomial. Variance = [variance] Note: answer in decimal form and round to 2 decimal places

Identify the following variable as being either continuous or discrete. The number of possible variations of this practice quiz.

Willy Wonka claims that 90% of all Gobbstopper candy it produces weighs more than 0.5 ounces. Suppose that 700 Gobbstoppers are selected at random from the production line. What are the lower and upper limits of what would be considered a “usual” number that meets Willy’s claim? Lower limit of “usual” = [lower] Upper limit of “usual” = [upper] Note: answer in decimal form and round to 1 decimal place

Data indicates that 64% of voters favor a certain ballot measure. For groups of 55 voters, find the variance. Hint: the distribution is binomial. Variance = [variance] Note: answer in decimal form and round to 2 decimal places

Identify the following variable as being either continuous or discrete. The average duration (time) of all Zoom meetings today.

Across multiple sections of a statistics course (each section has 18 students) the mean score on a final exam is 83 with a standard deviation of 8.3. Find the probability that for one randomly selected section (18 students) the mean test score is greater than 85. Hint: the Central Limit Theorem applies here. Probability = [probability] Note: answer in decimal form and round to 3 decimal places.

A customer service center receives an average of 60 complaints per day, with a standard deviation of 15. Based on this information, and for a randomly selected day, answer the following questions. For what number of complaints (x) is the probability 20% that there are less than that number of complaints? (round answer to 1 decimal) [x1] For what number of complaints (x) is the probability 40% that there are more than that number of complaints? (round answer to 1 decimal) [x2]

A customer service center receives an average of 50 complaints per day, with a standard deviation of 12. Based on this information, and for a randomly selected day, answer the following questions. Round all probabilities to 3 decimal places: What is the probability of receiving less than 20 complaints? [p1] What is the probability of receiving more than 60 complaints? [p2] Would it be unusual to receive more than 60 complaints? (yes or no) [yesno] What is the probability of receiving between 45 and 55 complaints? [p3]

In Washington County, Utah, the conviction rate for speeding is 95%. Estimate the probability that of the next 100 speeding summonses issued, there will be at least 95 convictions. Hint: assume the distribution is binomial Probability of at least 95 convictions = [convictions] Note: answer in decimal form and round to 3 decimal places.

Given the following data, answer the following questions. Hint: Start by putting the data in a Contingency Table (note: this data is not real). In a study of people who contracted the Covid-19 virus, the following data was collected. Among 5000 randomly selected 21-40 yr old, 200 died from complications. Among 5500 randomly selected 41-60 yr olds, 300 died; among 4500 61-80 yr olds 500 died; and among 6000 81+ yr olds 750 died. What is the probability of randomly selecting someone from the study who is 21-40 yrs old and who died from the virus? [21died] What is the probability of randomly selecting someone from the study who is 41-60 yrs old or who survived the virus? [41survived] What is the probability of randomly selecting someone from the study who survived the virus, given they are 81+ yrs old? [survG81] note: answer in decimal form and round to 3 decimal places.