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Stats 200 Quiz #2

  • From Mathematics, Statistics
  • Due on 20 Feb, 2015 09:20:00
  • Asked On 19 Feb, 2015 02:22:38
  • Due date has already passed, but you can still post solutions.
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Quiz 2

Each question is worth 1 point.

Don’t leave anything blank. I can always find a way to give you some credit if you’ve made an attempt. Be sure to post any questions you have after the answers open.

The work you turn in by 11:59 P.M. on Feb 22nd must be your own.

 

1.      You draw two cards from a deck, what is the probability that:

 

a.       both of them are face cards (king, queen, or jack)?

 

 

 

 

b.      you draw two cards from a deck and both of them are hearts?

 

 

 

 

 

 

2.      Assume adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15.

 

a.       Find the probability that a randomly selected adult has IQ < 115

 

 

 

 

 

b.      Find the probability that a randomly selected adult has IQ > 70

 

 

 

 

 

c.       Find P30, which is the IQ separating the bottom 30% from the top 70%

 

 

 

 


 

3.      a.  When would the mean grade in a class on a final exam be considered a statistic?

 

 

 

b.  When would it be considered a parameter?

 

 

 

c..  Define bias in terms of expected value.

 

 

b.       Is it possible for a statistic to be unbiased yet very imprecise? Can it be accurate but biased?

 

 

 

      4. a.  Why is a 99% confidence interval wider than a 95% confidence interval?

 

 

          b.  When you construct a 95% confidence interval, what are you 95% confident about?

 

 

5.      My parents lived in Florida and wanted to know the probability of winning the Florida

Fantasy 5 if they bought one ticket. They had to pick the five winning numbers from 1-

36. Each randomly selected number is different and order doesn’t matter. What is the

Probability of their winning?

 

 

 


 

6.       In a study of families with children with disabilities, group of 6 US households were

randomly selected. In the table below, the random variable x represents the number of

households among 6 that had a child with a disability living there.

 

 

x

P(x)

0

0.539

1

0.351

2

0.095

3

0.014

4

0.001

5

0+

6

0+

 

 

 

 

 

 

 

 

a)      Is this a probability distribution?

 

 

b)      What is the mean?

 

 

 

 

 

 

c)      What is the standard deviation?

 

 

 

 

 


 

 

7.      Ten peas are generated from parents having the green/yellow pair of genes so there is a

75% probability that an individual pea will have a green pod. Find the probability that

among the 10 offspring peas, at least 9 have green pods. Is this unusual? Explain.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8.  Find the critical value:

 

a. Z0.02

 

 

b. Z0.01

 

 

c. Z0.10

 

 


 

 

 

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