An automobile manufacturer produces production parts with 98% accuracy. the probability is mathematically given as
P(X\leq2) = 0.9868
Generally, the equation for the probability is mathematically given as
[tex]P(X\leq2) = P(X=0) + P(X=1) + P(X=2)[/tex]
Therefore
[tex]P(X=0)=\binom{25}{0}* 0.98^{25}* 0.02^{0}=1* 0.6035* 1\\\\P(X=0)=0.6035[/tex]
Hence
P(X=1)=0.3079
P(X=0)=0.07554
In conclusion, bringing the equation into view
[tex]P(X\leq2) = P(X=0) + P(X=1) + P(X=2)[/tex]
[tex]P(X\leq2) = 0.6035 +0.3079 + 0.07554[/tex]
P(X\leq2) = 0.9868
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