Data indicates that 48% of voters favor a certain ballot measure. For groups of 45 voters, find the variance. Hint: the distribution is binomial. Variance = [variance] Note: answer in decimal form and round to 2 decimal places

Willy Wonka claims that 75% of all Gobbstopper candy it produces weighs more than 0.5 ounces. Suppose that 800 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

What is the probability of an event that cannot occur? [probi] What is the probability of an event that is certain to occur? [probc] What is the best estimate of the probability of event about which you have no information? [probu]

Brian Head Ski Resort has a new quad (4 person) chairlift. A study of skiers shows the average weight among all skiers is 125 lbs, with a standard deviation of 30 lbs. Using the Central Limit Theorem, find the following probabilities for the mean weight of a randomly selected group of 4 skiers. What is the probability that the mean weight among a group of 4 skiers is less than 150 lbs? [p1] What is the probability that the mean weight among a group of 4 skiers is more than 130 lbs? [p2] Would it be unusual to find a mean weight of more than 130 lbs among 4 randomly selected skiers? (yes or no) [yesno] What is is the probability that the mean weight among a group of 4 skiers is between 120 and 130 lbs? [p3] Note: round all probabilities to 3 decimal places

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 25 complaints? [p1] What is the probability of receiving more than 75 complaints? [p2] Would it be unusual to receive more than 75 complaints? (yes or no) [yesno] What is the probability of receiving between 48 and 52 complaints? [p3]

In a student club with 10 members, they want to form a committee consisting of 3 members. How many possible committee combinations are possible? (note: Since each committee member has the same role, the sequence or order does not matter, and so this is a combination problem.)

When investigating times required for drive-through service at two restaurants, the following results (in seconds) were obtained. Find the mean, median, standard deviation, range, variance, mode, and midrange for each of the two samples. (note: You should use Excel to answer these questions. Rest A Rest B 120 135 123 126 120 147 128 156 123 118 118 130 154 145 118 137 Restaurant A mean [meanA] (round to 2 decimals) median [medianA] (round to 1 decimal) standard deviation [stdevA] (round to 2 decimals) range [rangeA] (round to 0 decimals – whole number) variance [varianceA] (round to 2 decimals) mode (enter “none” if no mode), or enter the number of a single mode, or enter multiple modes (separate numbers with a comma) [modeA] (round to 0 decimals – whole number) midrange [midrangeA] (round to 1 decimal) Restaurant B mean [meanB] (round to 2 decimals) median [medianB] (round to 1 decimal) standard deviation [stdevB] (round to 2 decimals) range [rangeB] (round to 0 decimals – whole number) variance [varianceB] (round to 2 decimals) mode (enter “none” if no mode), or enter the number of a single mode, or enter multiple modes (separate numbers with a comma) [modeB] (round to 0 decimals – whole number) midrange [midrangeB] (round to 1 decimal)

Which answer best describes the complement of the event described below. Among 6 randomly selected newborn baby whales, there is at least 1 male.

For the following data, compute the z-score for the value shown, and note whether or not it is “unusual.” Round all z-scores to 2 decimal places. Answer “yes” if unusual, or “no” if not unusual (no quote marks). Answers must be exact and precise. Remember that z-scores represent how many standard deviations a value is from the mean, and any value more than 2 standard deviations either below or above from the mean is considered “unusual”. value mean std dev 95 60 12 z-score [zscore] (round to 2 decimals) Unusual? [unusual] (yes or no)

The number of calls received by a towing service follows a Poisson distribution, with an average of 26.4 calls per day (24 hour period). Find the probability that in any randomly selected hour the number of calls is exactly 2. (hint: start by finding the average calls per hour). Note: enter your answer in decimal form and round to 3 decimal places.