Statistics Chapter 5 Review

Front

What is the probability of selecting a purple chip followed by a black chip from a jar containing 4 white chips, 5 purple chips, and 1 black chip?

Back

P(purple then black) = \frac{5}{10} \times \frac{1}{9} = \frac{1}{18}

Front

If you choose a letter from the word MATHEMATICIANS, replace it, and choose again, what is the probability of selecting the letter A twice?

Back

P(A then A) = \frac{3}{14} \times \frac{3}{14} = \frac{9}{196}

Front

What is the probability of selecting a red marble, then a blue marble, and then a green marble from a bag containing 5 red, 4 blue, and 3 green marbles, with replacement?

Back

P(red, blue, green) = \frac{5}{12} \times \frac{4}{12} \times \frac{3}{12} = \frac{5}{144}

Front

Given P(B) = 0.3 and P(A ∩ B) = 0.23, how can you determine if events A and B are independent?

Back

A and B are NOT independent because P(A ∩ B) ≠ P(A)P(B).

Front

What is the best method to simulate choosing one student out of 12 to be the class president?

Back

Roll a die and flip a coin.

Front

Define probability in the context of statistics.

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating the probability of the union of two events A and B?

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)