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Trbetvn_Obv

Mathematics

MA131 Finite Mathematics

Park University

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1. Find the probability by referring to the tree diagram below. P(Upper NNintersect∩Upper AA)equals=P(Upper NN)P(Upper AA|Upper NN) The probability is (Type an integer or a decimal.) 2. Find the probability by referring to the tree diagram below. P(M|Upper BB)equals=StartFraction Upper P left parenthesis Upper M intersect Upper B right parenthesis Over Upper P left parenthesis Upper M intersect Upper B right parenthesis plus Upper P left parenthesis Upper N intersect Upper B right parenthesis EndFraction P(M∩B)P(M∩B)+P(N∩B) The probability is (Type an integer or a decimal. Round to the nearest hundredth as needed.) 3. Find Upper P left parenthesis Upper U 1 |R right parenthesisPU1|R by referring to the following Venn diagram and using Bayes' formula (assume the simple events in S are equally likely). Upper P left parenthesis Upper U 1 |R right parenthesisPU1|Requals= (Type a decimal. Round to three decimal places if needed.) 4. Find Upper P left parenthesis Upper U 3 |R right parenthesisPU3|Rby referring to the Venn diagram and using Bayes' formula (assume that the simple events in S are equally likely). Upper P left parenthesis Upper U 3 |R right parenthesisPU3|Requals= (Type a decimal. Round to three decimal places if needed.) 5. If the probability distribution for the random variable X is given in the table, what is the expected value of X? xi minus−11 pi 00 66 . 4.4 . 5.5 . 1.1 E(X)equals= (Type an integer or a decimal.) 6. You draw and keep a single bill from a hat that contains a \$1, \$5, \$20, and \$100 bill. What is the expected value of the game to you? The expected value of the game to you is dollars. (Type an integer or a decimal.) 7. In tossing 4 fair coins, what is the expected number of heads? Let the random variable X represent the number of heads. E(X)equals= (Type an integer or a decimal.) 8. A box of 10 flashbulbs contains 1 defective bulb. A random sample of 2 bulbs is selected and tested. Let X be the random variable associated with the number of defective bulbs in the sample. Find the expected number of defective bulbs in the sample. E(X)equals= (Type an integer or a decimal rounded to one decimal place as needed.)
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I am sorry the question number to is wrong the right answer is 2) 0.53not 0.43I corrected it in the file as well
check_circle DavidFarag marked this question as complete.

1. Find the probability by referring to the tree diagram below.

P(Upper NNintersect∩Upper AA)equals=P(Upper NN)P(Upper AA|Upper NN)
The probability is
(Type an integer or a decimal.)

2. Find the probability by referring to the tree diagram below.
P(M|Upper BB)equals=StartFraction Upper P left parenthesis Upper M intersect Upper B right
parenthesis Over Upper P left parenthesis Upper M intersect Upper B right parenthesis plus Upper P left
parenthesis Upper N intersect Upper B right parenthesis EndFraction
P(M∩B)P(M∩B)+P(N∩B)

The probability is
(Type an integer or a decimal. Round to the nearest hundredth as needed.)

3. Find Upper P left parenthesis Upper U 1 |R right parenthesisPU1|R by referring to the following
Venn diagram and using Bayes' formula (assume the simple events in S are equally likely).

PU1|Requals=
(Type a decimal. Round to three decimal places if needed.)

4. Find Upper P left parenthesis Upper U 1 |R right parenthesisPU1|Rby referring to the Venn diagram
and using Bayes' formula (assume that the simple events in S are equally likely).

Upper P left parenthesis Upper U 1 |R right parenthesisPU1|Requals=
(Round to three decimal places as needed.)

5. If the probability distribution for the random variable X is given in the table, what is the expected value
of X?
xi minus−44
pi

00

44

. 3.3 . 4.4 . 3.3

E(X)equals=
(Type an integer or a decimal.)

6. You draw and keep a single bill from a hat that contains a \$1, \$5, \$20, and \$100 bill. What is the
expected value of the game to you?
The expected value of the game to you is
dollars.
(Type an integer or a decimal.)

7. In tossing 44 fair coins, what is the expected number of heads?
Let the random variable X represent the number of heads.
E...

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