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Froggy Jumps
Froggy Jumps

kent moline

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kent moline
 

Froggy Jumps

kent molineOnline version

7.6(E) S

by Kent Molina
1

A fair six-sided die is rolled 180 times. What is the expected number of rolls showing 5 or 6?

2

What is the probability a single roll shows a number greater than 4?

3

If 180 rolls occur, the most probable count of numbers >4 equals?

4

Standard deviation for the count of >4 in 180 rolls?

5

What is another way to express the expected count in 180 trials with p=1/3?

6

If 60 outcomes are >4, is this less than, more than, or equal to the expectation?

7

Which distribution models the number of >4 outcomes in 180 rolls?

8

Is the statement 'the expected count equals 60' true or false for 180 trials p=1/3?

9

What is the probability that a single roll is not >4?

10

If you increase rolls to 300, what is the new expected number >4?

11

What is the expected number of even results in 100 rolls of a 20-sided die?

12

What is the probability a single roll is even on a d20?

13

If you observe 60 evens in 100 rolls, is that above, below, or equal to the expectation?

14

What is the variance of the number of evens in 100 rolls (n=100, p=0.5)?

15

For one roll, what is the probability of getting an even result?

16

What is the standard deviation for the count of evens in 100 rolls?

17

If 40 evens occur, how far is that from the expected value of 50?

18

The number of evens in 100 rolls follows which distribution?

19

Approximate 95% confidence interval for the count of evens?

20

If you repeat 100-roll experiments 1000 times, on average how many evens per experiment?

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