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What measures the strength of the linear relationship between two quantitative variables?
The strength of the linear relationship between two quantitative variables is measured by the correlation coefficient. The correlation coefficient, denoted by "r," ranges from -1 to 1. A value of 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship. The closer the absolute value of the correlation coefficient is to 1, the stronger the linear relationship between the variables.
You toss three coins What is the probability of the event 3 Heads appear?
Since each event is independent (heads in one coin does not affect the probability of the other two coin flips), the multiplication rule applies: 1/2 x 1/2 x 1/2 = 1/8 or 0.125. So we can say the probability is 12.5%.
What is the event space for rolling a number greater than 3 with one die?
For a regular number die, the event space is {1, 2, 3, 4, 5, 6}.
What is the probability PHTHT on four consecutive flips of a coin?
The result of each event (or flip) is independent of the others. Therefore, the individual probabilities can be multiplied. P(HTHT) = Probability of (heads-tails-heads-tails): 1/2 x 1/2 x 1/2 x 1/2 = 1/16
What are complementary events in probability?
Complementary events are events that are the complete opposite. The compliment of event A is everything that is not event A. For example, the complementary event of flipping heads on a coin would be flipping tails. The complementary event of rolling a 1 or a 2 on a six-sided die would be rolling a 3, 4, 5, or 6. (The probability of A compliment is equal to 1 minus the probability of A.)
