LSP 121

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# LSP 121 - PowerPoint PPT Presentation

LSP 121. final exam review. 1) The Pacific tectonic plate moves at a rate of 4”/year. What is this in miles per hour?. 4 in x yr x da x ft x mi yr 365 da 24 hr 12 in 5280 ft 4 miles 365 x 24 x 12 x 5280 hr

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## LSP 121

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### LSP 121

final exam review

1) The Pacific tectonic plate moves at a rate of 4”/year. What is this in miles per hour?

• 4 in x yr x da x ft x mi yr 365 da 24 hr 12 in 5280 ft
• 4 miles 365 x 24 x 12 x 5280 hr
• = 7.2 x 10-9 mi/hr

Write powers of 2, right to left, then sum the numbers above the 1’s

128 + 32 + 16 + 4 = 180 (ans)

3) Convert 3 8 F 216 from hex to decimal [SHOW WORK]

Put powers of 16 (right to left) above the cells.160 = 1, 161 = 16, 163 = 256, 164 = 4096

Multiply lower number times upper number. Remember A = 10, B = 11, C = 12, … F = 15 Add these four products.

Converting base 16 to decimal

DEC HEX

DEC HEX

DEC HEX

DEC HEX

• There is 1/36 chance of rolling two sixes
• P(not A) = 1 – P(A)
• 1 – 1/36 = 35/36 or .972

5) Suppose event A has a 0.98 probability of occurring and event B has a 0.94 probability of occurring. Compute the ODDS for event A and the ODDS for event B

• odds are calculated by usingP(A) / P(not A)
• Odds for event A =0.98 / 0.02 = 49/1 or 49 to 1
• Odds for event B =0.94 / 0.06 = 15.67/1 or 15.7 to 1

6) What is the probability of the next 5 births at a hospital all being girls?

• Probability of multiple events is calculated by the product of the probabilities
• ½ * ½ * ½ * ½ * ½ = 1/32 or .031
• You can also show: (1/2)5 = 1/32

7) If Peoria, IL is hit by a tornado about every 30 years, what is the probability that Peoria will be hit by a tornado this year?

• simply 1/30
• What is the probability that Peoria will be hit by tornados in three consecutive years?
• 1/30 * 1/30 * 1/30 = 1/27,000
• at least once in the next 30 years?
• 1 – (not A)30 = 1 – (29/30)30 =
• ANS = .64 [ .6383 ]

8) see problem

• For CA227,381 deaths / 30,000,000 ppl = 0.00758multiply this by 1000 = 7.58 deaths / 1000
• For AK2,911 deaths / 550,000 ppl = 0.005293multiply this by 1000 = 5.29 deaths / 1000
• Don’t forget to answer the questions included with this problem

9a) How many different license plates are possible if you have plates with 3 letters followed by 3 numerals?

Use 6 boxes and enter the possible number of values for each part of the license plate:

Multiply these numbers and you get:

17,576,000 possible plates

9b) How many different 10-note “tunes” can be created from the notes A, B, C, D, E, F and G?

• Use 10 boxes and the possible notes per box:

Multiply or calculate 710 and you get

282,475,249 possible “tunes”

problem 10
• 2*1/50 + 1,000*1/2,000 + 2,000*1/4,000 + 20,000*1/40,000 …
• -\$2 + .04 + .50 + .50 + .50
• expected value = - 0.96
• you lose
Problems 11, 12
• If you get a problem like 10 or 11 on the exam you will be given the Excel formula required to do the calculations
• remember, in Excel =log(x,b) means the log of ‘x’, base ‘b’

11) use Excel to work this out, see below

• Note signal = .4 and noise = .0002
• in Excel set up 2 columns
• 1000 to 10,000 increments of 500, and
• = cell * log ((1 + .4/.0002),2), looks like
• with 1000 in cell A1, 1500 in cell A2

indicates base 2

12) use Excel to work this out, similar to 11), see below

• Note W =frequency and M = 8
• in Excel set up 2 columns
• 1000 to 10,000 increments of 500, and
• = 2 * cell * log (8,2), looks like
• with 1000 in cell A1, 1500 in cell A2
13. Programming question
• keep track of the value of i and j and work through the nested loops
• total number of outputs: 40
another method..
• You can enter the following as ‘code’ in VBA for Excel

FOR i = 1 TO 4FOR j = 1 TO 3 MsgBox i & “ “ & jNext jNext i

• Then ‘Run’ the macro in Excel
• Notice there will be 4 x 3 outputs (12)
Standard HTML
• <html>
• <body>
• .. contents of body
• </body>
• </html>
• DO NOT REPEAT html, head, or body
Insert javascript in webpage
• The following is a ‘trigger’ in HTML code that signals some javascript (what is in italics is explanatory and not actual code
• <script type = “text/javascript”>
• … java script code follows
• </script> is used to end the javascript part
Macros and VBA
• relates to question 14, 15
• macro is best used when
• you have to repeat a complex operation
• a single operation involves many steps
• for simulations
• given: CELLS(2,3) = CELLS(2,3)+4
• this will add 4 to contents of cell row 2, column 3; that sum is put in cell(2,3)
What is an algorithm, #16
• An orderly sequence of steps that can be followed to produce a desired result
• Algorithms are used in
• manufacturing
• testing
• computer programming languages
• making decisions
Q 17, risk analysis
• First note what is GIVEN
• expected probability of cancer 1/6000 = 0.017%
• reliability of test = 75%
• number of people with tumors = 10,000
• To find:
• percentage that will receive a true positive
• percentage that will receive a false negative
Use the 5 steps to complete the matrix
• Beginning of matrix:

Find the 4 missing values (the true positives and true negatives have been filled in).

Now find
• Percentage of true positives
• 1.25 divided by total positives (express this as a percentage)
• Percentage of false negatives
• false negatives are negative test results which in fact are cancerous (not calculated yet)
• divide this by the total number of negatives (far right column in negative row)