A random variable,x,has a normal distribution with μ = 13.6 and σ = 2.90.Determine a value,x₀,so that P(x ≤ x₀)= 0.975. A)16.678 B)19.284 C)23.360 D)14.475

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Using a standard normal table or calculator, we can find the z-score such that P(Z ≤ z) = 0.975, which is approximately 1.96. We can then use the formula for standardizing a normal random variable: z = (x - μ) / σ Solving for x, we have: x = z*σ + μ = 1.96*2.90 + 13.6 ≈ 19.284 Therefore, x₀ ≈ 19.284.

A Random Variable,x,has a Normal Distribution with μ = 13