Question

Suppose x is a normally distributed random variable with μ=10 and σ=2. Find each of the following probabilities. a. p(x≥11) b. p(x≤8) c. p(11.06≤x≤14.86) d. p(5.04≤x≤12.8)

Answer 1

The question involves calculating probabilities for a normally distributed random variable given its mean and standard deviation. This involves converting the given x-values to z-scores and using the standard normal distribution table or a calculator to find the corresponding probabilities.

Step-by-step explanation:

The student is asking about finding probabilities for a normally distributed variable with a mean (μ) of 10 and a standard deviation (σ) of 2.

The use of z-scores and the standard normal distribution table (or a calculator) is essential for finding these probabilities.