GRE Quant Foundation Assessment Test (Data Analysis - Part 3)

The area under the normal distribution curve is always equal to 1.

• True
• False

If a dataset is approximately normal, then its median is roughly equal to its mean.

• True
• False

Let X be a discrete random variable representing the number of heads obtained when flipping a fair coin 3 times. Let P(X=k) be the probability that k heads are obtained. Which of the following is true?

• P(X = 0) = 1/2
• P(X = 1) = 3/8
• P(X = 2) = 1/4
• P(X = 3) = 1/4
• P(X = 3) = 3/8

A certain weighted 6-sided die with faces number 1-6 has the property that values less than 4 are three times as likely as values greater than 3. If the relative frequency of rolling a 2 is k%, what is k? Assume that the die has only two possible probabilities.

In reference to the table below, what is the probability that a family has at least three children? Write your answer as a decimal.

In reference to the table below, if a total of 600 families were surveyed, how many families had at most 2 children?

Let X be a discrete random variable representing a randomly chosen prime number from the first 6 prime numbers. What is the random variable mean, rounded to the nearest tenth?

Which of the following are examples of uniform distributions? Select all that apply.

• rolling a fair die and recording the value in the die
• distribution of letters in English by frequency of use
• select a day of the week at random
• drawing a card from a well-shuffled deck of cards

In a distribution with a negative skew, the mean is typically greater than the median.

• True
• False

In reference to the table below, which of the following could be the median value of scores? Select all that apply.

• 83
• 86
• 90
• 77
• 80