Practice Test Part 1

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.

Why are the events not independent?

• The sum of P(A) and P(B) is greater than P(A and B).

• The product of P(A) and P(B) is greater than P(A and B).

• The product of P(A) and P(B) is not equal to P(A and B).

• The sum of P(A) and P(B) is not equal to P(A and B).

Under the best conditions, a sprout has a 40% probability of blooming.

If two sprouts are selected at random, what is the probability that both will bloom, under the best conditions?

• 16 percent

• 24 percent

• 40 percent

• 80 percent

All freshmen, sophomores, juniors, and seniors attended a high school assembly. The total student attendance is shown in the table.

Twice during the assembly, a student is chosen at random to assist with the presentation. After the first student has finished assisting, the student returns to the group and can be chosen a second time. What is the probability that the first student chosen is a senior and the second student chosen is a sophomore?

• 11/320

• 3/80

• 11/40

• 2/5

The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.

How many people are in the set C ∩ D?

The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.

How many patients had allergies or ear infections, but not both?

In the Venn diagram, consider U = {whole numbers 1 – 100}.

Let A represent numbers that are perfect squares, B represent numbers that are perfect cubes, and C represent numbers that are perfect fourths, or numbers with a fourth root that is an integer.

Which number(s) satisfy A ∩ C?

• 16, 81

• 1, 16, 81

• 1, 4, 9, 16, 25, 36, 49, 81, 100

• 1, 4, 9, 16, 25, 36, 49, 64, 81, 100

The number of grams of zero-calorie sodium in a restaurant meal is compared to the total number of calories in the meal. The correlation coefficient relating the two variables is 0.74.

Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal? 

• It is a weak positive correlation, and it is not likely causal.

• It is a weak positive correlation, and it is likely causal.

• It is a strong positive correlation, and it is not likely causal.

• It is a strong positive correlation, and it is likely causal.

The table shows the shipping costs for items of different values. Which best describes the strength of the model?

• a weak positive correlation

• a strong positive correlation

• a weak negative correlation

• a strong negative correlation

Ryan gathered data about the age of the different dogs in his neighborhood and the length of their tails. Which best describes the strength of the correlation, and what is true about the causation between the variables?

• It is a weak negative correlation, and it is not likely causal.

• It is a weak negative correlation, and it is likely causal.

• It is a strong negative correlation, and it is not likely causal.

• It is a strong negative correlation, and it is likely causal.

Which residual plot shows that the line of best fit is a good model?

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