With n = 13 and p = 0.4, how do

Urdorfs4u

Urdorfs4u

Answered question

2022-02-10

With n=13 and p=0.4, how do you find P(at least 7) using a binomial probability table?

Answer & Explanation

budniji8d1

budniji8d1

Beginner2022-02-11Added 15 answers

Step 1
In a binomial probability distribution, if the probability of success for an event is p (i.e. for failure the probabilty is (1p))
the probability of getting r successes out of a total trial of n events i.e. P(n, r) is given by
P(n, r)=n!r!(nr)!(1p)nr
In the given case we have p=0.4, n=13 and at least 7 success means success of 7 or more.
Hence desired probability P(r7)
=P(7, 13)+P(8, 13)+P(9, 13)+P(10, 13)+P(11, 13)+P(12, 13)+P(13, 13)
=13!7!6!×0.47×0.76+13!8!5!×0.48×0.75+13!9!4!×0.49×0.74+13!10!3!
×0.410×0.73+13!11!2!×0.411×0.72+13!12!1!×0.412×0.71+13!13!0!×0.413×0.70
=0.13117+0.06559+0.02429+0.00648+0.00118+0.00013+0.00001
=0.22885

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