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1.) A box contains 5 pennies, 3 dimes, 1 quarter and 1 half-dollar. A coin is drawn at random. a: Construct a probability distribution. (Please

1.) A box contains 5 pennies, 3 dimes, 1 quarter and 1 half-dollar. A coin is drawn at random.

a: Construct a probability distribution. (Please enter your answers as decimal values, rounded to one decimal place.)

b: The expected value for the coin drawn is $________________. (Round your answer to 2 decimal places.)

X P(X)
Penny ($0.01)
Dime ($0.10)
Quarter ($0.25)
Half-Dollar ($0.50)

2.) A box has 7 red cards, 2 green cards and 3 purple cards. Four cards are selected with replacement. A success is selecting a red card.

a: List the values that the random variable, X, can take on for this experiment. (These are the values that you would put in the row or column for X in a probability distribution table.) Separate values with a comma.

b: This experiment will result in a binomial distribution. Identify each value we would need to calculate the probabilities. Round values for p and q to 3 decimal places, as needed.

n=__________

p=__________

q=__________

c: When finding the probabilities for this distribution, we know that each probability must be between a value of__________ and _____________. Also, their sum should be equal to ______________.

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