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STATISTICS 2110
STUDY FOR FINAL
21
Other
Not Applicable
11/11/2007

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Term

Which if the following numbers could not be the probability of an event?

Definition
0.9           -.3            0.78           1.23           0             0.34            1           -.56        6.7
Term
In a survey of 1100 female adults, it was determined that 341 volunteered at least once in the past year.  What is the probability that a randomly selected female adult volunteered at least once in the past year?
Definition

P = 341/1100 = .31

Term
A standard deck consists of 52 cards, in 4 suits of 13 cards each.  Find the probability of selecting an ace or a heart from the deck.
Definition
P (ace or Heart) = P (ace) + P (heart) - P (ace & heart) = 4/52 + 13/52 - 1/52 = 16/52 = .308
Term
A golf ball is selected from a golf bag.  The bag contains 9 Titleists, 17 Maxflies, and 8 Topflites.  Find the probability that the ball is not a Topflite.
Definition

 

P = 26/34 = .764

Term
If P(E) = .23, and P(f) = .46, find P(E or F) if P(E & F) is 0.07
Definition
P (E or F) = P (E) + P(F) - P(E & F) = .23 + .46 - .07 = .62
Term
Write a one sentence definition of subjective probability.
Definition
Probability based on hunches, or past experience or personal judgement.
Term
What is the probability of obtaining 6 tails in a row when flipping a coin 6 times in a row?
Definition

 

P + 1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = 1/26 = 1/64 = .0156

Term
Suppose events E and F are independent.  What is the P (E & F) if the P(E) = .89 and P(F) = .45?
Definition

 

P (E&F) = P(E) x P(F) = (.89) (.45) = .4005

Term
The package of an EPT pregnancy test states that the test is 99% accurate at detecting a pregnancy.  Assume that the test is accurate 99% of the time.  Suppose 12 randomly selected pregnant women with typical hormone levels are given the test.&n
Definition

 

P = 9912 = (.99)(.99)(.99)(.99)(.99)(.99)(.99)(.99)(.99)(.99)(.99)(.99) = .8864

Term

A bag of 30 tulip bulbs purchased form a nursery contains 12 red bulbs, 10 yellow bulbs, and 8 purple bulbs.

What is the probability that two randomly selected (without replacement) tulip bulbs are both yellow?

Definition

 

P = 10/30 x 9/29 = 90/870 = .1034

Term

A bag of 30 tulip bulbs purchased from a nursery contains 12 red bulbs, 10 yellow bulbs, and 8 purple bulbs.  What is the probability that the first bulb selected is red and the second is purple?

Definition

 

P = 12/30 x 8/29 = 96/870 = .1103

Term
A woman has 5 blouses and 4 skirts.  How many different possible outfits can she wear?
Definition

 

# outfits = 5 x 4 = 20

Term

A Social Security Number has a 9 digit format of xxx-xx-xxxx. 

 

(a) Assuming no restrictions, how many possible numbers are there?

 

(b) What is the probability of guessing the Social Security number of the pres

Definition

 

(a) P = _ _ _ _ _ _ _ _ _ = 109 = 1,000,000,000

 

(b) P = 1/1,000,000,000

Term

Determine whether the random variable is discrete or continuous.  State the possible values of the random variable.

(a) The number of defects in a roll of carpet ______

      Possible values of x = __________

Definition

 

(a) discrete ... possible values of x = 0, 1, 2, 3 ....

 

(b) continuous ... possible values of x = > 0

Term

Given the following probability data table, answer the following questions.

Definition

 

Yes (1) 0 < or =  p(x) < or = 1

       (2) ∑ p(x) = 1

Term
Definition

 

mean = 23 + 24 + 45 + 200 = 292

Term
Definition

 

SD = (100 - 292)2 (23) = (200-292)2 (12) = (300-292)2 (.15) + (400 - 292)2 (.5) =

SD2 = 8478.72 + 1015.68 + 9.6 + 5832 = 15,336

 

SQ RT of 15,336 = SD = 123.84

Term
BINOMIAL FORMULA
Definition

 

P (x) = n |nCr| x . px . qn-x

Term

Using the binomial formula ... according to information in an Almanac, 80% of adult smokers started smoking before turning 18 years old.  Suppose 10 smokers are randomly selected and the number of smokers who started smoking before 18 is recorded.

Definition

 

P(x) = n |nCr| x ∙ px ∙ qn-x  

P (8) = 10 |nCr| 8 x .88 x .22 =

 

10!/8! (10-8)! ∙ (.1677) (.04) = .302 = .3019

 

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