Question

Given a normal distribution with μ = 50 and σ2 = 36, find: P(X < 40)...

  1. Given a normal distribution with μ = 50 and σ2 = 36, find:
  1. P(X < 40)
  2. P(X > 45)
  3. P(X > 58)
  4. P(52 < X < 62)

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
a.) Assume that x has a normal distribution. Find P(10 ≤ x ≤ 26) given that...
a.) Assume that x has a normal distribution. Find P(10 ≤ x ≤ 26) given that μ = 14.9 and σ = 4.0. (Use 4 decimal places.) b.) Let z be a random variable with a standard normal distribution. Find P(–1.13 ≤ z ≤ 2.47). Use 4 decimal places. c.) Consider a normal distribution with mean 25 and standard deviation 5. What is the probability that a value selected at random from this distribution is greater than 25? (Use 2...
For a normal distribution with μ = 65 and σ2 = 25, the semi-IQR is
For a normal distribution with μ = 65 and σ2 = 25, the semi-IQR is
Given a population with a mean of μ=105 and a variance of σ2=36​, the central limit...
Given a population with a mean of μ=105 and a variance of σ2=36​, the central limit theorem applies when the sample size is n≥25. A random sample of size n=25 is obtained. a. What are the mean and variance of the sampling distribution for the sample​ means? b. What is the probability that x>107​? c. What is the probability that 104<x<106​? d. What is the probability that x≤105.5​?
For a normal distribution with mean μ and variance σ2 = 64, an experimenter wishes to...
For a normal distribution with mean μ and variance σ2 = 64, an experimenter wishes to test H0: μ = 10 versus Ha: μ = 7.  Find the sample size n for which the most powerful test will have α = β = 0.025.
Let the random variable X follow a Normal distribution with variance σ2 = 625. A random...
Let the random variable X follow a Normal distribution with variance σ2 = 625. A random sample of n = 50 is obtained with a sample mean, X-Bar of 180. What is the probability that μ is between 198 and 211? What is Z-Score1 for μ greater than 198?
Given that x is a normal variable with mean μ = 52 and standard deviation σ...
Given that x is a normal variable with mean μ = 52 and standard deviation σ = 6.4, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) Incorrect: Your answer is incorrect. (b) P(x ≥ 50) Incorrect: Your answer is incorrect. (c) P(50 ≤ x ≤ 60) Incorrect: Your answer is incorrect.
Q2. Given a normal distribution with μ = 30 and σ = 6, find 1- the...
Q2. Given a normal distribution with μ = 30 and σ = 6, find 1- the normal curve area to the right of x = 17 [Hint: P(X>17)] 2-the normal curve area to the left of x = 22 [Hint: P(X<22)] 3-the normal curve area between x = 32 and x = 41[Hint: P(32<X<41)]; 4-the value of x that has 80% of the normal curve area to the left [Hint: P(X<k)=0.8];
Given a normal distribution with μ=50 and σ=5​, and given you select a sample of n=100​,...
Given a normal distribution with μ=50 and σ=5​, and given you select a sample of n=100​, complete parts​ (a) through​ (d). a. What is the probability that X is less than 49​? ​P(X<49​)= b. What is the probability that X is between 49 and 51.5​? ​P(49<X<51.5​)= c. What is the probability that X is above 50.9​? ​P(X>50.9​)= d. There is a 30​% chance that X is above what​ value? X=
State whether or not the following statements are valid. (a)X∼Normal(μ,σ2)whereμandσ2 aresuchthatP[X<1.2×μ]>1/2. (b) X ∼ Geometric (p)...
State whether or not the following statements are valid. (a)X∼Normal(μ,σ2)whereμandσ2 aresuchthatP[X<1.2×μ]>1/2. (b) X ∼ Geometric (p) where 0 < p < 1 then Var(X) must be greater than 1. (c) X ∼ Poisson(λ) where λ is such that E[X] = π and Var(X) = π. (d) X ∼ Gamma(1, 5) and P [X > 11|X > 5] = P [X > 6]. (e) X ∼ Geometric(p) where p is such that P[X > 11|X > 12] = 0.
Consider X has to be a normal random variable with mean μ and variance σ2 and...
Consider X has to be a normal random variable with mean μ and variance σ2 and moment generating function(MGF) MGF (t) = exp(μt + σ2t2 /2) 1. Find the MGFof Y = ax+b, where a and b are non-zero constants 2. By inspection identify what distribution this is
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT