In: Statistics and Probability
1.Your friend brings a large bag of candy to class. In the bag of candy, there are 13 red candies, 20 blue candies, 13 orange candies, 5 yellow candies, 40 green candies, and 61 purple candies.
b.Your friend is going to reach into the bag and remove one candy at a time. Before your friend starts removing candies, you want to calculate the probability of selecting candies, in a specific order?
(each time a candy is removed from the bag, the total number of candies decreases)
P (red, purple, & green) =
P (red, blue, purple, & green) =
P (purple, yellow, red, orange, & purple) =
P (yellow, yellow, purple, purple, red, & red) =
P (red, red, green, purple, yellow, red, orange, yellow, & red) =
2.Calculate the standard deviation of the following sample:
12, 14, 15, 23, 22, 26, 28, 19, 17, 18, 25, 28, 29, 19, 12, 19, 22, 19, 23, 24, 19, 25, 19
Standard deviation=
3.One day, you are playing around with the change in your pocket. You decide to flip one coin and then you decide to flip two coins. Remember, a coin can land on either heads or tails and each coin flip is independent. Calculate the following probabilities:
One Coin Flip Probabilities:
P (heads) =
P (tails) =
Two Coin Flips Probabilities:
P (of at least one heads) =
P (of at least one tails) =
P (heads and heads) =
P (heads and tails) =
P (tails and tails) =
P (tails and heads) =