Question

Let X ~ N(181; 19) Find: (|X-181|> 44)

Let X ~ N(181; 19)

Find: (|X-181|> 44)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let us start with expanding the probability

MEAN= 181 AND VARIANCE= 19 , Standard deviation=4.36

Since μ=181 and σ=4.36 we have:

So P ( 137<X<225 )=P ( 137−181< X−μ<225−181 )=P ((137−181)/4.36<(X−μ)/σ<(225−181)/4.36)

Since Z=(x−μ)/σ , (137−181)/4.36=−10.09 and (225−181)/4.36=10.09 we have:

P ( 137<X<225 )=P ( −10.09<Z<10.09 )

Use the standard normal table to conclude that:

P ( −10.09<Z<10.09 )=1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X ~ N(195; 20). Find: (a) P(X <= 222) (b) P140 < X < 205)...
Let X ~ N(195; 20). Find: (a) P(X <= 222) (b) P140 < X < 205) (c) The first quartile for X (d) The third quartile for X (e) the IQR for X (f) P(|X-195|> 44)
If n=32, ¯ x (x-bar)=44, and s=7, find the margin of error at a 95% confidence...
If n=32, ¯ x (x-bar)=44, and s=7, find the margin of error at a 95% confidence level (use at least two decimal places)
Let X~N(219;23) find: P(166 < X < 232)
Let X~N(219;23) find: P(166 < X < 232)
Let n be an odd number and X be a set with n elements. Find the...
Let n be an odd number and X be a set with n elements. Find the no. of subsets of X which has even no. of elements. The answer should be a number depending only on n. (For example, when n = 5, you need to find the no.of subsets of X which has either 0 elements or 2 elements or 4 elements)
Let X ∼ N(μ,σ2). Let Y = aX for some constant a. Find the joint moment...
Let X ∼ N(μ,σ2). Let Y = aX for some constant a. Find the joint moment generating function of (X, Y ).
Let A be a n × n matrix, and let the system of linear equations A~x...
Let A be a n × n matrix, and let the system of linear equations A~x = ~b have infinitely many solutions. Can we use Cramer’s rule to find x1? If yes, explain how to find it. If no, explain why not.
Let X ~ N(1,3) and Y~ N(5,7) be two independent random variables. Find... Var(X + Y...
Let X ~ N(1,3) and Y~ N(5,7) be two independent random variables. Find... Var(X + Y + 32) Var(X -Y) Var(2X - 4Y)
Let X be a set and let (An)n∈N be a sequence of subsets of X. Show...
Let X be a set and let (An)n∈N be a sequence of subsets of X. Show that: (a) If (An)n∈N is increasing, then liminf An = limsupAn =S∞ n=1 An. (b) If (An)n∈N is decreasing, then liminf An = limsupAn =T∞ n=1 An.
Let A be an n × n matrix and let x be an eigenvector of A...
Let A be an n × n matrix and let x be an eigenvector of A corresponding to the eigenvalue λ . Show that for any positive integer m, x is an eigenvector of Am corresponding to the eigenvalue λ m .
For each $n \in \mathbb{N}$ and $x \in [0, +\infty)$ let g_n(x) = \frac{x}{1 + x^n}...
For each $n \in \mathbb{N}$ and $x \in [0, +\infty)$ let g_n(x) = \frac{x}{1 + x^n} a. Find the pointwise limit on $[0, +\infty)$ b. Explain how we know that the convergence \textit{cannot} be uniform on $[0, +\infty)$ a & b Please
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT