Two statistics courses, Course A and Course B, have different instructors. The average score in Course A is 75 with a standard deviation of 10, while the average score in Course B is 80 with a standard deviation of 8. A student scores 85 in Course A and 84 in Course B. The z-scores for the student’s scores in each course are provide below. Determine which course the student performed relatively better in. Formula for Z-Score (z) = (X – μ) / σ Z-Score for Course A: (zA) = (85 – 75) / 10 = 1 Z-Score for Course B: (zB) = (84 – 80) / 8 = 0.5

Review the illustration below. To find the probability that the customer demand will be at most 900 units per month, what would be the appropriate Excel function?  General syntax: NORM.DIST(x, mean, standard_dev, cumulative)

What metric does total bill represent?  

During the first quarter of 2017, an investment group’s average purchase price of Bitcoin was $2,500.175 with a standard deviation of $600. The last purchase made was priced at $2,450.00. Assume that their purchase prices follow a normal distribution. To find the z-score for the last purchase, what value would be in place of x̄ when referring to the z-score formula below?

According to a customer’s crypto transaction records, 15% of their transactions are Bitcoin sells. If a random sample of 20 transactions was selected, what is the probability that 8 of these transactions are Bitcoin sells? Select the appropriate Excel function used to find the probability.  General syntax: BINOM.DIST(number_s, trials, probability_s, cumulative)

Match the symbol to its description.

Which of the following is a key difference in how probabilities are calculated for discrete vs. continuous random variables?

In a normal distribution, which of the following z-scores would correspond to a data point that is furthest from the mean?

Assume you create a histogram of the age of houses. Which of the following characteristics of the histogram would indicate that the age of houses is not normally distributed?

Fill in the blanks: The binomial probability distribution is used with data. The normal probability distribution is used with data.