SOLUTION: an unfair coin lands heads 65% of the time. This coin is flipped 1500 times. What is the probability that the coin will land heads between 960 and 1000 times

Question 1038690: an unfair coin lands heads 65% of the time. This coin is flipped 1500 times. What is the probability that the coin will land heads between 960 and 1000 times
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the expected value is 1500*0.65=975 times=np
the variance is np(1-p)=975*0.35=341.25
the sd is the sqrt (341.25)=18.47
So, this can be approximated by a normal distribution
z=(960-975)/18.47=-0.812
z=(1000-975)/18.47=1.353
The probability is that part between these two z-values
it is 70.36% or 0.7036
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