Sociologists say that 90% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that nine married women are having coffee together one morning. Find the following probabilities. (a) All of them dislike their mother-in-law. At least seven of them dislike their mother-in-law. No more than six of them dislike their mother-in-law
Hello Sir/ Mam
Given that:
p = 0.9
n = 9
We know that:
Hence, using this,
x | P(x) |
0 | 0.000000001 |
1 | 0.000000081 |
2 | 0.000002916 |
3 | 0.000061236 |
4 | 0.000826686 |
5 | 0.007440174 |
6 | 0.044641044 |
7 | 0.172186884 |
8 | 0.387420489 |
9 | 0.387420489 |
Hence,
(a)
:P(X = 9) = 0.3874
(b)
P(Atleast 7) = 0.9470
(c)
P(Atmost 6) = 0.0530
I hope this solves your doubt.
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