The probability that you can get N heads in a row would be:
Let <span>p</span> be the probability of flipping a heads. Let <span>x</span> be number of flips needed to achieve <span>h </span>consecutive heads. The solution is <span><span>E(x) = (<span><span>1−<span>p^h) / (</span></span><span><span>p^h</span>(1−p))</span></span></span></span>
This expression may be derived as follows. The probability of being successful immediately is <span><span>p^r.</span></span> However, one might get a tails immediately. In that case, the number of flips needed is <span><span>1+E(x) </span></span>(one flip has been used and we are back to the original position). We might get a heads and then a tails. In this case two flips have been used and we are back to the original position. Continue this up to <span><span>h−1</span></span> heads followed by a tails in which case <span>h</span> flips have been used and we are back to the original position.
Answer:3
Step-by-step explanation:
<span>No, he should have surveyed students in his PE class since all grades are represented in that class.</span>
Answer:
2*t
Step-by-step explanation:
That should be it...
Just multiply 2 by t
Answer:
8 family members. Average of 2.6 fish per person.
Step-by-step explanation:
How many family members caught fish? Count only those members who caught at least 1 fish (that's all of them, because nobody caught 0 fish!).
3 + 1 + 0 + 4 = 8 family members.
Average number of fish caught <u>per person</u>. This is the total number of fish caught divided by the total number of people.
This is a little bit tricky because, for example, 4 people caught 4 fish, making 4 x 4 = 16 fish caught.
Multiply number of fish (column 1) by the number of people (column 2):
1 x 3 + 2 x 1 + 3 x 0 + 4 x 4 = 3 + 2 + 0 + 16 = 21 fish caught.
21 fish. 8 people. On average, that is 21 / 8 = 2.625 which rounds to 2.6 fish per person.
Hint: the word "per" means <u>divide</u>, so "fish per person" tells you to divide the total number of fish by the total number of people.
Good Luck!
