Question 61 pts Plain candies come in various colors. Assume that the distributi

Question

Question 61 pts

Plain candies come in various colors. Assume that the distribution of colors for plain candies is as follows:

Suppose you have a large bag of plain candies and you take one candy at random. Find the probability that the candy is yellow. Round your answer to nearest hundredth.

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Question 71 pts

You draw two cards from a standard deck of 52 cards and replace the first one before drawing the second. State whether the following statement is true or false.
The outcomes for the two cards are independent.

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Question 81 pts

Diagnostic tests of medical conditions have several results. The test result can be positive or negative. A positive test (+) indicates the patient has the condition. A negative test (-) indicates the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 187 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.

Assume that the sample is representative of the entire population. For a person selected at random, find P(getting test result -). Round your answer to the nearest thousandth.

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Question 91 pts

How many sequences contain exactly three heads when you flip a coin four times?

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Question 101 pts

Color Purple Yellow Red Orange Green Blue Brown Percent 20% 19% 18% 9% 8% 10% 16% P(8,3)

Explanation / Answer

Answer. Q.71) True,they are independent, because the outcome of either draw does not affect the outcome of the other.

Q.81.) p(getting test result-)= 24/62= 0.403

Q.91) hence 4 ways to get 3 heads.

THHH

HTHH

HHTH

HHHT

Ans.4

Q.101) P(8, 3)

= Permutations of 8 objects taken 3 at a time

= 8! / (8 - 3)! .... [Using the formula P(n, r) = n! / (n - r)!]

= 8! / 5!

= 40320/120

= 336

Ans.366

Q.61) 1/7 = 0.14

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