Question

Q1. Assume X ~N(10,4) i) Calculate the probability P(9 < X <12). Include a carefully labeled...

Q1. Assume X ~N(10,4)

i) Calculate the probability P(9 < X <12). Include a carefully labeled diagram

ii) Derive the 2 values of X (symmetric around the mean) that contain approximately 80% of the distribution. Draw a carefully labelled diagram.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
approximate the following binomial probabilities for this continuous probability distribution p(x=18,n=50,p=0.3) p(x>15,n=50,p=0.3) p(x>12,n=50,p=0.3) p(12<x<18,n=50,p,=0.3)
approximate the following binomial probabilities for this continuous probability distribution p(x=18,n=50,p=0.3) p(x>15,n=50,p=0.3) p(x>12,n=50,p=0.3) p(12<x<18,n=50,p,=0.3)
Q1. let x be normal with mean 10 and variance 4. find p(x>12), p(x<10), p(x<11), p(9<x<13)...
Q1. let x be normal with mean 10 and variance 4. find p(x>12), p(x<10), p(x<11), p(9<x<13) Q2.Let X be normal with mean 3.6 and variance 0.01. Find C such that P(X<=c)=50%, P(X>c)=10%, P(-c<X-3.6<=c)=99.9%
Given a normal distribution with μ=53 and σ=3​. a. What is the probability that X>49​? ​P(X>49​)=_____...
Given a normal distribution with μ=53 and σ=3​. a. What is the probability that X>49​? ​P(X>49​)=_____ (Round to four decimal places as​ needed.) b. What is the probability thatX<47​? ​P(X<47​)equals=_____ ​(Round to four decimal places as​ needed.) c. For this​ distribution, 7​% of the values are less than what​ X-value? X=_____ ​(Round to the nearest integer as​ needed.) d. Between what two​ X-values (symmetrically distributed around the​ mean) are 80​% of the​ values? For this​ distribution, 80​% of the values...
1. Determine whether the distribution represents a probability distribution. X 3 7 9 12 14 P(X)...
1. Determine whether the distribution represents a probability distribution. X 3 7 9 12 14 P(X) 4/13 1/13 3/13 1/13 2/13 2. Determine whether the distribution represents a probability distribution. X 5 7 9 P(X) 0.6 0.8 -0.4 3. Determine whether the distribution represents a probability distribution. X 20 30 40 50 P(X) 0.05 0.35 0.4 0.2
For the following probability distribution table assume p=.62 and n=3. Fill in the missing probabilities (p(x))....
For the following probability distribution table assume p=.62 and n=3. Fill in the missing probabilities (p(x)). x p(x) 0 1 2 3
Assume a binomial probability distribution with n=55 and π=0.28 . Compute the following: (Round all your...
Assume a binomial probability distribution with n=55 and π=0.28 . Compute the following: (Round all your z values to 2 decimal places.) a) The mean and standard deviation of the random variable. (Round your "σ" to 4 decimal places and mean to 1 decimal place.)​​​​​​​ σ = ___ μ = ___ b) The probability that X is 18 or more. (Use the rounded values found above. Round your answer to 4 decimal places.) c) The probability that X is 12...
A biased coin (one that is not evenly balanced) is tossed 6 times. The probability of...
A biased coin (one that is not evenly balanced) is tossed 6 times. The probability of Heads on any toss is 0.3. Let X denote the number of Heads that come up. 1. Does this experiment meet the requirements to be considered a Bernoulli Trial? Explain why or why not. 2. If we call Heads a success, what would be the parameters of the binomial distribution of X? (Translation: find the values of n and p) 3. What is the...
Assume that X ∼ N(μ,σ). For each of the following, the generic number c is a...
Assume that X ∼ N(μ,σ). For each of the following, the generic number c is a number bigger than μ. (a) Write down the statement: “What is the probability that X is greater than c?” using P ( ) notation. Draw a picture of shaded curve. (b) Rewrite A) by standardizing X (turning it into Z). Hint: you will still have μ, σ, and c in the expression (c) Redo questions (a) and (b) for the statement: “What is the...
Assume that a procedure yields a binomial distribution with n=826n=826 trials and the probability of success...
Assume that a procedure yields a binomial distribution with n=826n=826 trials and the probability of success for one trial is p=p=1/12. Find the mean for this binomial distribution. (Round answer to one decimal place.) μ=μ= Find the standard deviation for this distribution. (Round answer to two decimal places.) σ=σ= The range rule of thumb says that the the minimum usual value is μ-2σ and the maximum usual value is μ+2σ. Use this to find the minimum and maximum usual values....
You calculate a one-tailed z-test and find that for your study, z = 1.40, p >...
You calculate a one-tailed z-test and find that for your study, z = 1.40, p > .05. A. What is the proportion of the curve that is in the critical region? B. Is this a Type I or Type II error? C. Do you reject or fail to reject the null hypothesis? D. What is the confidence interval? For a normal distribution with a population mean μ of 80 and a population standard deviation (σ) of 50, find each probability...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT