Question

Assume that x has a normal distribution, with the specified mean and standard deviation. Find the indicated probabilities. P(x ≥ 5); μ = 18; σ = 5Multiple choice:a. 0.995b. 0.495c. 0.005d. 0.248e. 0.002

Answer 1

Find out the value of z

Remember that

z =(x - μ)/σ

we have

μ=18

σ=5

For x=5

substitute

z=(5-18)/5

z=-2.6

Using a z-scores table

we have that

P(x ≥ 5)=0.99534

therefore

the answer is option A