Aastha tyagi Asked a Question
October 10, 2020 8:45 ampts 30 pts
youngman who is waiting for a young lady decides to walk under the following set of rules. Hle tosses a fair coin. If the coin falls heads, he walks 10 steps north; if the coin falls tails, he walks 10 steps south. What is the probability that after walking 100 steps he is: () back at the starting point, (11) 20 steps from the starting point, and (i1) 40 steps from the starting point
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  • Kaushik gupta
    all probabilities can be obtain by binomial distribution
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  • Kaushik gupta
    ii P(40 steps from starting point)=P(7heads and 3 tails)=(10C7)*(1/2)^10=15/128
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  • Kaushik gupta thankyou
    ii P(20 steps from starting point)=P(6 heads and 4 tails)=(10C6)*(1/2)^10=105/512
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  • Kaushik gupta thankyou
    i P(back at starting point)=P( 5 heads and 5 tails)=(10C5)×(1/2)^10=63/256
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