18. A student has a z-score of −2 on a test. What does this mean?

15. Which situation would most likely have the smallest standard deviation?

10. Why can statistics lead to seemingly unfair decisions in areas like insurance or policing?

Which statement best defines a sample space?

Which option correctly defines the mean, median, and mode?

Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled.Suppose that you randomly draw two cards, one at a time, without replacement.G1 = first card is greenG2 = second card is greenFill in the tree diagram chart of the situation.  Odds of each color for 1st Card (fraction)First Card drawnG(reen) or Y(ellow)Letter for color Followed by 1Odds of each color for 2nd Card(fraction)Second Card DrawnLetter for color Followed by 1Set of Cards DrawnG(reen) or Y(ellowLetter for first card’s color followed by second letter for second colorG2(G,G)□ / □G1□ / □□ / □StartY2(G,Y)G2(Y,G)□ / □□ / □Y1□ / □Y2(Y,Y) Find P(G1 AND G2)  (both green) Find P(at least one green). Note another way of saying this might be what is 1 (which represents 100%) less the  probability of the cards both being yellowFind P(G2|G1). This is the probability of the second card being green given that the first was green. Are G1​ and G2 independent events?No, they are dependent, because the probability of the second draw changes based on the first draw. Yes, they are independent, because the first card is already gone before the second draw.Yes, they are independent, because both events are “drawing a green card.”No, they are dependent, because independent events must happen at the same time.

When drawing items from a group, what is the main difference between sampling with replacement and sampling without replacement?

When all outcomes in a sample space are equally likely, how do you calculate the probability of an event AAA?

For the Park City basketball team, scores for the last 30 games were as follows (smallest to largest): 32; 32; 33; 34; 38; 40; 42; 42; 43; 44; 46; 47; 47; 48; 48; 48; 49; 50; 50; 51; 52; 52; 52; 53; 54; 56; 57; 57; 60; 61 Which of the following is the correct stem-and-leaf plot for the data?

A student creates a line graph to show how the temperature of a liquid changes during a heating experiment. Time is measured in minutes, and temperature is measured in degrees Celsius.Which setup correctly represents this information on a line graph?