In: Statistics and Probability
1. Answer the following questions regarding a standard 52-deck, which has 13 of each suite )heart, spades, clubs, and diamonds) and 3 face cards in each suit.
a. What is the probability that you will randomly receive an ace of diamonds or a queen of clubs?
b. If you were to draw a card, replace it, and shuffle, then what would be the probability of drawing the same card again?
c. Face cards are the King, Queen, or Jack cards for each suit. What is the probability of drawing a face card or a diamond card?
2. Dice have 6 sides with 1 through 6 dots on each side. There are 36 possible outcomes with the rolling of two dice. What is the probability that you could roll the sum of 7 with the pair of dice?
3. For a normal distribution with a mean of μ = 50 and σ = 10, find each probability value requested. Show your work in order to receive credit.
a. p(x>65)
b. p(x<47)
c. p(40 < X < 60)