solution:-
given that n = 7 , p = 0.8
formula
=> P(x = X) = ncr * p^r * (1-p)^(n-r)
here asked that is
=> P(x ≤ 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)
= 7c0 * 0.8^0 * (1-0.8)^(7-0) + 7c1 * 0.8^1 * (1-0.8)^(7-1) + 7c2 * 0.8^2 * (1-0.8)^(7-2) + 7c3 * 0.8^3 * (1-0.8)^(7-3) + 7c4 * 0.8^4 * (1-0.8)^(7-4)
= 0.0000 + 0.0004 + 0.0043 + 0.0287 + 0.1147
= 0.1481
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