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1. Cards: Suppose you draw a card from a deck (with replacement) 10 times in a r

ID: 3207678 • Letter: 1

Question

1. Cards: Suppose you draw a card from a deck (with replacement) 10 times in a row. What is the probability that you get exactly 5 hearts? Round your answer to 3 decimal places.

2.T/F Quiz: Suppose you take a 15 question True or False quiz and you guess on every problem. You only get 3 correct.

(a) What is the probability of getting 3 or fewer correct guesses? Round your answer to 3 decimal places.


(b) Would 3 be an unusually low number of correct guesses? Use the criteria that a number (x) is unusually low if P(x or fewer) 0.05.

Yes, that is an unusually low number of correct guesses.No, that is not an unusually low number of correct guesses.  

Explanation / Answer

P(X=5hearts) = ?

In a pack of 52 crads, there are 13 heart cards.

Therefore, it is 1/4 prob of getting a heart.

Now, this probability is :

=10C5(1/4)^5(3/4)^5

=.0584