For a binomial random variable x with n=8 and p=0.2, find P(x≤1) using the cumulative table.A. 0.503B. 0.168C. 0.797D. 0.056


Answer:
Given:

Probability of success $(p)=0.2 $

Sample size $(n)= 8$

Solution:
The probability that x is less than or equal to 1:
$P(x \leq 1) = \sum_{0}^{1} \binom{n}{x} \cdot p^x \cdot (1-p)^{n-x} = \sum_{0}^{1} \binom{8}{x} \cdot 0.2^x \cdot (1-0.2)^{8-x} = 0.5033$

Final answer:
The probability that x is less than or equal to 1 = 0.5033

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