Spinner Warm-up
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Spinner Warm-up. $100. $100. 90°. 90 °. 60°. 60°. 60°. $200. $400. $300. If you spin once, what is the probability of getting each dollar amount (fractions)? 2) If you spin twice, what is the probability of getting $100 and then $200?

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Spinner Warm-up

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Spinner warm up

Spinner Warm-up

$100

$100

90°

90°

60°

60°

60°

$200

$400

$300

  • If you spin once, what is the probability of getting each dollar amount (fractions)?

  • 2) If you spin twice, what is the probability of getting $100 and then $200?

  • 3) If you spin twice, what is the probability of getting a sum of $600?

1/2, 1/6, 1/6, 1/6

1/12

1/12


More warm up

More Warm up.

= 2.35

Use your calculator to find the decimal answer. Round to the nearest hundred

= 0.13


Benchmark question 1

Use the table of values to determine the function represented.

Benchmark Question #1

c

  • g(x) = xb) g(x) = x2

  • c) g(x) = IxId) g(x) = x3


Benchmark question 2

In Triangle ABC, AC=6, AB=7, and BC=5.

Which of the following statements is true?

Benchmark Question #2

  • The measure of angle C is the least of the three angles.

  • The measure of angle C is the greatest of the three angles

  • The measure of angle B is the greatest of the three angles

  • The measure of angle B is the least of the three angles

b


Benchmark question 3

Based on the graph of the following function, what is the greatest rate of decrease for the function?

Benchmark Question #3

  • -4

  • -10/3

  • -7/2

  • -5/3

c


Benchmark question 4

Benchmark Question #4

Add the following.

d


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GPS ALGEBRA

UNIT QUESTION: How do you use probability to make plans and predict for the future?

Standard: MM1D1-3

Today’s Question:

When do you find the expected value of an experiment?

Standard: MM1D2.d.


Expected value

Expected Value

  • A collection of outcomes is partitioned into n events, no two of which have any outcomes in common. The probabilities of the n events occurring are p1, p2, p3,..., pn where p1 + p2 + p3 + pn = 1. The values of the n events are x1, x2, x3,..., xn.

  • E = p1x1 + p2x2 + p3x3 + ... + pnxn


Example 1

Example 1

  • Find the expected value.

E = 1(.20) + 2(.30) + 3(.10) + 4(.40) = 2.7

If I do this experiment 10 times, what total value would you expect to get?


Example 2

Example 2

  • You take an exam that has 4 possible answers for each question. You gain 3 points for each correct answer, lose 1 point for each incorrect answer, and do not gain or lose points for blank answers. If you guess on a question, what is the expected value for the number of points you receive?

E = (3)(1/4) + (-1)(3/4) = 0


Example 3

Example 3

  • At a raffle, 2500 tickets are sold at $5 each for 3 prizes of $1000, $500, and $100. You buy one ticket. What is the expected value of your winnings?

E = 995(1/2500) + 495(1/2500) + 95(1/2500) + (-5)(2497/2500)

= $ –4.36


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Classwork

Workbook (pages 375-376)


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