Answer to Question #235427 in Statistics and Probability for Omniscient

Question #235427
Random sample of size 25 from a normally distributed population with the mean of 4 and variance of 16. Find the point estimate of the population mean if P(X>x)=0.9798.
1
Expert's answer
2021-09-12T17:48:12-0400

n=25μ=4σ2=16σ=4P(X>x)=0.9798P(Xx)=10.9798=0.0202P(Zx44/25)=0.0202x44/5=2.049x4=1.64x=41.64=2.36n=25 \\ \mu=4 \\ \sigma^2 = 16 \\ \sigma=4 \\ P(X>x) = 0.9798 \\ P(X≤x) = 1 -0.9798 = 0.0202 \\ P(Z≤ \frac{x- 4 }{4 / \sqrt{25}}) = 0.0202 \\ \frac{x- 4 }{4 / 5} = -2.049 \\ x -4= -1.64 \\ x = 4-1.64=2.36


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment