Question

Let the random variables  and  denote the length and width of a manufactured part. Assume that  is normal with  and...

Let the random variables  and  denote the length and width of a manufactured part. Assume that  is normal with  and standard deviation 0.1 cm. Also assume that  is normal with  cm and standard deviation 0.2 cm. Also assume that  and  are independent.

What is the probability that the perimeter is at most 14.5 cm?

A.

0.1318
B.

0.0004
C.

0.9996
D.

0.8682
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #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 X1,...,X99 be independent random variables, each one distributed uniformly on [0, 1]. Let Y denote...
Let X1,...,X99 be independent random variables, each one distributed uniformly on [0, 1]. Let Y denote the 50th largest among the 99 numbers. Find the probability density function of Y.
3. Let ?1, ?2, ?3 be 3 independent random variables with standard normal distribution. Find the...
3. Let ?1, ?2, ?3 be 3 independent random variables with standard normal distribution. Find the conditional probability
Let X and Y be two independent exponential random variables. Denote X as the time until...
Let X and Y be two independent exponential random variables. Denote X as the time until Bob comes with average waiting time 1/lamda (lambda > 0). Denote Y as the time until Gary comes with average waiting time 1/mu (mu >0). Let S be the time before both of them come. a) What is the distribution of S? b) Derive the probability mass function of T defined by T=0 if Bob comes first and T=1 if Gary comes first. c)...
Let X and Y be two normal random variables. Given that the mean of X is...
Let X and Y be two normal random variables. Given that the mean of X is 6 and its standard deviation is equal to 1, and the mean of Y is 2 with standard deviation 3. What is the probability that Z= X-3Y is positive?.
Let X and Y be independent discrete random variables with pmf’s: x 1 2 3 y...
Let X and Y be independent discrete random variables with pmf’s: x 1 2 3 y 2 4 6 p(x) 0.2 0.2 0.6 p(y) 0.3 0.1 0.6 What is the probability that X + Y = 7
Let Z denote the standard normal random variable. If P( 1 < Z < c )...
Let Z denote the standard normal random variable. If P( 1 < Z < c ) = 0.128,   what is the value of c ?
Let W and Q be two bivariate normal random variables such that E(W) = 5, Standard...
Let W and Q be two bivariate normal random variables such that E(W) = 5, Standard deviation (W) = 1, E(Q) = 10, standrad deivation (Q) = 2, r = 0.2 a) Predict the value of W when ypu observe Q = 15. ( 3 significant figures) b) what is the probability that W > 5 given Q = 15? ( 3 significant figures)
6. Let d= X -Y, where X and Y are random variables with normal distribution, and...
6. Let d= X -Y, where X and Y are random variables with normal distribution, and X and Y are independent random variables. Assume that you know both the mean and variance of   X and Y, if you have random samples from X and Y with equal sample size, what is the sampling distribution for the sample means of d(assuming X and Y are independent)?
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and...
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and Y denote a random variable that has a Poisson distribution with parameter λ = 6. Additionally, assume that X and Y are independent random variables. Derive the joint probability distribution function for X and Y. Make sure to explain your steps.
Let z denote a random variable having a normal distribution with μ = 0 and σ...
Let z denote a random variable having a normal distribution with μ = 0 and σ = 1. Determine each of the probabilities below. (Round all answers to four decimal places.) (a) P(z < 0.1) = (b) P(z < -0.1) = (c) P(0.40 < z < 0.84) = (d) P(-0.84 < z < -0.40) = (e) P(-0.40 < z < 0.84) = (f) P(z > -1.25) = (g) P(z < -1.51 or z > 2.50) =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT