According to an article, 36% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly selected adults, find the probability that the number, X, who have experienced a breakup at least once during the last 10 years is
a. exactly five; at most five; at least five.
b. at least one; at most one.
c. between five and seven, inclusive.
d. Determine the probability distribution of the variables X. (X=0-9)
Here p=0.36 which is same for all, n=9 is constant, events are independent and only two outcomes
Hence all the properties of binomial are satisfied
So we will use excel formula of binomial distribution to find required probabilities
a.
b.
c.
d.
x | P(x)=BINOMDIST(x,n,p,0) |
0 | 0.0180 |
1 | 0.0912 |
2 | 0.2052 |
3 | 0.2693 |
4 | 0.2272 |
5 | 0.1278 |
6 | 0.0479 |
7 | 0.0116 |
8 | 0.0016 |
9 | 0.0001 |
It is binomial distribution with p=0.36 and n=9
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