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Answer :
Final answer:
The probability that 4 emails of this dangerous type are received in a day is approximately 0.000000000998.
Explanation:
The probability that 4 emails of this dangerous type are received in a day can be calculated using the binomial probability formula.
The formula is:
P(x) = C(n, x) * px * (1 - p)n - x
Where:
x is the number of successes (4 in this case)
n is the number of trials (1 in this case)
p is the probability of success (0.001 in this case)
Plug in the values to calculate:
P(4) = C(1, 4) * (0.001)4 * (1 - 0.001)1 - 4
Simplify the equation:
P(4) = 0.000000001 * 0.999^ (- 3)
P(4) = 0.000000001 * 0.998001
P(4) ≈ 0.000000000998
Therefore, the probability that 4 emails of this dangerous type are received in a day is approximately 0.000000000998.
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Final answer:
The probability that 4 emails of this type are received in a day is 0.000000001.
Explanation:
The probability that 4 emails of this type are received in a day can be calculated using the binomial probability formula. The formula is: P(x) = C(n,x) * p^x * (1-p)^(n-x), where n is the total number of trials, x is the number of successful trials, and p is the probability of success. In this case, n = 4, x = 4, and p = 0.001. Plugging in these values into the formula, we get: P(4) = C(4,4) * 0.001^4 * (1-0.001)^(4-4) = 0.001^4 = 0.000000001.
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