Respuesta :
The probability that the sample mean is less than 341.5 is 0.547.
Define probability.
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
Given,
Mean = 341
Variance = 4
X = N(341, 0.2)
P(Mean ≤ 34.5)
= P( X⁻ ≤ 341.5)
= P(X⁻ - 341/√0.2 ≤ 341.5 - 341/√0.2)
= P( X⁻ ≤ 1.118)
= Ф (1.118)
= 0.547
The probability that the sample mean is less than 341.5 is 0.547.
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