A coin is flipped 34 times and heads is observed 22 times. Assuming this proportion is...

A coin is flipped 34 times and heads is observed 22 times. Assuming this proportion is normal for this particular coin, if the coin is flipped 50 times, what is the probability that heads is observed at least 25 times?

The probability is:

(Round to 4 decimal places)

Solutions

Expert Solution

The probability that heads is observed at least 25 times is 0.9883

A coin is flipped 34 times and heads is observed 22 times.

Hence the probability of observing head is

p =22/34

= 0.6470588

Now n = 50

and number of expeceted heads x= 25.

Now probability that heads is observed at least 25 times can be calculate using binomial probabilities.

Here p=

and q= 1-0.6470588

= 0.3529412

probability that heads is observed at least 25 times =

(This is complex calculation , we can use binomial table but for more precision we are using R-software to obtain its value)

= 0.9883067

~ 0.9883

Hence probability that heads is observed at least 25 times is 0.9883

orchestra answered 11 months ago

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