3 years ago

Allen's answer for Part A was 12:42, which he simplified to 2:7. His answer is incorrect.

Mathematics

1 answer:

Oxana [17]3 years ago

3 0

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Assume that we have m coins. We toss each one of them n times. The probability of heads showing up for each coin isp. What’s the

olga nikolaevna [1]

Answer:

$1-(1-p^n)^m$

Step-by-step explanation:

For a coin, the probability of head showing in a single toss is $p$ .

$P(H)=p$

Its complement, the probability of not head is

$P(\Sim H)=1-p$

This is a binomial distribution. In $n$ tosses, the probability of having all heads (i.e. $n$ heads) is

$P(\text{all heads})=\binom{n}{n}p^n(1-p)^0=p^n$

Let's call this value $a$ .

For $m$ coins, we determine the probability of at least 1 coin showing all heads by first finding its complement i.e. the probability of no coin showing all heads. This is also a binomial distribution.

$P(\text{no coin showing all heads})=\binom{m}{0}a^0(1-a)^m=(1-a)^m$

$P(\text{at least 1 coin showing all heads})=1-P(\text{no coin showing all heads})$

$P(\text{no coin showing all heads})=1-(1-a)^m=1-(1-p^n)^m$

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A baseball league awards 2 points for a win and one point for a tie . One team has five more wins than ties and has earned 19 po

Alika [10]

Answer:

The team had won 8 games

Step-by-step explanation:

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kobusy [5.1K]

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5 ( y + 3 ) = 4

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larisa [96]

Answer:

Stars, dark and dusk matters, planets, and a gravitational pull to hold it all together.

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Calculate the rise and run between any two coordinates to find the slope of each line ...

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For the first one its a slope of -2/3

The second one is 4/5

and the third one is -1/7

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