a fair coin is flipped repeatedly until 50 heads are observed. using the central limit theorem, calculate an approximate value for the probability that at least 80 flips are necessary.
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The approximate value for the probability that at least 80 flips are necessary is 0.3897.Given:a fair coin is flipped repeatedly until 50 heads are observedusing the central limit theorem, calculate an approximate value for the probability that at least 80 flips are necessary.P (h>25)=p(h>=26)= 1-p(h<=26)Assume the situation is approximately normalu= np =50(1/2)=25 , s=√(npq) = √( 50)(.5)(.5) =√12.5z=(x-u)/s = ( 26–25)/√12.5 = 0.283P(z=0.283) =0.1103Edit p(z>0.283)=0.1103P(h <= 80)= 0.5+ 0.1103= 0.6103P(h>=80) 1 – 0.6103 = 0.3897Hence we get the required answer.Learn more about Probability here:brainly.com/question/25688842#SPJ4