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Sagot :
Using the binomial probability relation, the probability of the following events are :
- P(x = 5) = 0.2076
- P(x > 5) = 0.6785
- P(x ≤ 5) = 0.3215
Using the relation :
P(x = x) = nCx * p^x * q^(n-x)
- Probability of success, p = 0.75
- q = 1 - p = 1 - 0.75 = 0.25
- Number of trials, n = 8
Probability of exactly 5 :
P(x = 5) = 8C5 × 0.75^5 × 0.25^3
P(x = 5) = 0.2076
2.) Probability of selecting more than 5 :
P(x > 5) = p(6) + p(7) + p(8)
Using a binomial probability calculator :
P(x > 5) = 0.6785
3.)
Probability at most 5 :
P(x ≤ 5) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)
Using a binomial probability calculator :
P(x ≤ 5) = 0.3215
Therefore, the probability of selecting at most 5 is 0.3215
Learn more :https://brainly.com/question/12474772
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