Question

Carry out the binominal expansion for (p+Q)^7.let p=q=1/2 to form a binominal probabaility distribution. using your results,find the probability of at least 5 successes?

Answer 1

Hello Sir/ MAm

Given that:

p = q = 1/2

n = 7

We know that:

Hence, using this and given data;

p	50.00%
n	7
x
x	P(x)
0	0.007813
1	0.054688
2	0.164063
3	0.273438
4	0.273438
5	0.164063
6	0.054688
7	0.007813

Hence, your required answer is the sum of last 3, i.e.

P(At least 5) = 0.2266 = 22.66%

I hope this solves your doubt.

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