(c) \( V \) A random variable \( x \) is normally distributed with \( \mu=50 \) and \( \sigma^{2}=25 \). Find the probability (a) that it fall between (i) 0 and 40, (ii) 55 and 100 ; (b) that it will be (i) larger than 54, (ii) smaller than 57.
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The random variable \( x \) is normally distributed with a mean \( \mu = 50 \) and a variance \( \sigma^2 = 25 \). Therefore, the standard deviation \( \sigma \) is the square root of the variance, which is \( \sigma = 5 \). Show more…
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