Consider that a continuous random variable X is distributed with a Normal probability distribution with the parameters µ = 40, σ= 3 Determine the probability of P(X > 45) a) 0.0548 b) 0.4452 c) 0.0485 d) 0.4515
Q: If Z is a standard normal random variable, find the value z0 such that a) P(Z > z0) = 0.98 b) P(Z <…
A: We have to find z score from z table.
Q: Assume the random variable x is normally distributed with mean u = 84 and standard deviation o = 5.…
A: Given that, Mean = 84 Standard deviation = 5
Q: 24 - Since Z is a continuous variable with a standard normal distribution, what is the…
A: To find: P(-0.50<Z<2)= ??
Q: The score on an exam from a certain MAT 112 class, X, is normally distributed with μ=81.2 and σ=10.…
A: Given that X is normally distributed with μ=81.2 and σ=10. We have to find the probability that a…
Q: Assume the random variable x is normally distributed with mean μ = 85 and standard deviation a=4.…
A: The random variable x is normally distributed. Mean = μ = 85 Standard deviation = σ = 4
Q: Assume the random variable x is normally distributed with mean μ=82 and standard deviation σ=5. Find…
A:
Q: Assume the random variable x is normally distributed with mean μ = 80 and standard deviation o=4.…
A: Given that Mean = 80 , Standard deviation = 4
Q: Assume the random variable x is normally distributed with mean u= 89 and standard deviation o = 5.…
A: Given: Mean,μ=89Std deviation,σ=5
Q: Assume the random variable x is normally distributed with mean μ = 85 and standard deviation o=5.…
A: The population mean is 85 and the population standard deviation is .
Q: Assume the random variable x is normally distributed with mean μ = 80 and standard deviation o=4.…
A: givendata normal distributionμ = 80σ = 4P(68<x<77) = ?
Q: P(65<x<74) P(65<x<74)= (Round to four decimal places as needed.)
A: X~N( μ , ?)μ=80 , ?=5Z-score =( x - μ )/?
Q: Assume the random variable x is normally distributed with mean = 90 and standard deviation a=5. Find…
A: The following information has been given: μ=90σ=5 We need to compute Px<83.
Q: Assume the random variable x is normally distributed with meanu=81 and standard deviation o = 4.…
A:
Q: Consider babies born in the "normal" range of 37–43 weeks gestational age. A paper suggests that a…
A:
Q: Assume the random variable x is normally distributed with mean u = 50 and standard deviation o = 7.…
A: Given: X is normally distributed random variable with μ=50σ=7
Q: Assume that the random variable X is normally distributed, with mean μ=80 and σ=8. Compute…
A: Given that, Mean = 80 Standard deviation = 8
Q: iv) P(z < –1.96) v) P(-1.96 < z) vi) P(-2.38 <z < -1.03)
A: b Obtain the probability of z less than –1.96. The probability of z less than –1.96 is obtained…
Q: A continuous random variable has a Weibull distribution with parameters a = 2 and ß = 12. a)…
A:
Q: Let x be a continuous random variable that has a normal distribution with a mean of 50 and a…
A:
Q: Assume the random variable x is normally distributed with mean μ=85 and standard deviation σ=4. Find…
A: Answer:- Assume the random variable x is normally distributed with mean μ=85 and standard deviation…
Q: Assume the random variable x is normally distributed with mean μ = 85 and standard deviation o=4.…
A: The mean is and standard deviation is .
Q: The random variable x is known to be uniformly distributed between 1.0 and 1.5 Compute ?(? = 1.25)
A:
Q: Assume the random variable x is normally distributed with mean u = 85 and standard deviation o = 5.…
A: Given: μ=85σ=5 The z-score is given by, z=X-μσ
Q: Assume the random variable x is normally distributed with mean µ = 88 and standard deviation o = 4.…
A: Mean = 88Standard deviation = 4
Q: Let T be the random variable that models the lifespan of a cellphone battery (in months). It is…
A: Given that, T be the random variable that denotes the lifespan of a cellphone battery. The lifespan…
Q: The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 17 minutes.…
A: Given that, The time it takes me to wash the dishes is uniformly distributed between 11 minutes and…
Q: Assume the random variable x is normally distributed with mean μ = 50 and standard deviation o = 7.…
A:
Q: Assume the random variable x is normally distributed with mean μ=81 and standard deviation σ=5. Find…
A: Mean(μ)=81standard deviation(σ)=5
Q: Assume the random variable x is normally distributed with mean u= 82 and standard deviation o = 5.…
A:
Q: OLAG X is a normally distributed random variable with u = 25 and o = a) What is the 85th percentile…
A:
Q: Assume the random variable x is normally distributed with mean μ = 50 and standard deviation o=7.…
A: GivenMean(μ)=50Standard deviation(σ)=7
Q: Assume the random variable x is normally distributed with mean μ = 84 and standard deviation o= 5.…
A: Given that Mean = 84 , Standard deviation = 5
Q: Plot the probability mass and distribution functions of the binomial random variable X with…
A: The pmf of Bin(2,0.5) isP(X=x)= , x=0,1,2
Q: Assume the random variable x is normally distributed with mean μ =88 and standard deviation o=4.…
A:
Q: If X is a uniformly distributed random varibale with a=8 and b=13, then Calculate the mean…
A: Answer: From the given data, X follows uniform distribution, a = 8 and b = 13
Q: Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find…
A:
Q: Assume the random variable x is normally distributed with mean u=86 and standard deviation o =4.…
A: Given: Random variable x follow normal distribution with mean=86 and standard deviations=4 then to…
Q: Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)
A: A uniform distribution is a probability distribution that has constant probability. So, it is also…
Consider that a continuous random variable X is distributed with a
Determine the probability of P(X > 45)
a) 0.0548
b) 0.4452
c) 0.0485
d) 0.4515
Step by step
Solved in 2 steps with 4 images
- If X is a uniformly distributed random varibale with a=2 and b=6, then Calculate the standard deviation of X? Round to three decimal placesAssume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find the indicated probability P(X<36) Round to four decimal places as needed.Weights of Lamb after eight weeks after born are normally distributed with mean µ = 14 kg and variance σ 2 = 4. a)Find the probability p that a single lamb has weight less than 12 kg. b) Find the probability that exactly 3 of the next 5 lambs examined will have weights less than 12 kg.
- Assume the random variable x is normally distributed with mean μ = 86 and standard deviation o=4. Find the indicated probability. P(x<81) P(x<81)= (Round to four decimal places as needed.)find oc x is a a normal mean U=3 805-0-5 random distribution P (ocAssume the random variable x is normally distributed with mean µ = 85 and standard deviation o = 4. Find the indicated probability. P(x<77) P(x<77) = (Round to four decimal places as needed.)If Z is a standard normal random variable, find the value z0 such that a) P(Z > z0) = 0.98b) P(Z < z0) = 0.62c) P(−z0 <Z<z0)=0.50The random variable x has a normal distribution with mean 50 and variance 9. Find the value of x, call it x0, such that: a) P(x ≤ xo) = 0.8413 b) P(x > xo) = 0.025 c) P(x > xo) = 0.95 d) P(41 ≤ x ≤ xo) = 0.8630Assume the random variable x is normally distributed with mean u = 83 and standard deviation o = 4. Find the indicated probability. P(70The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes.What is the probability that washing dishes tonight will take me between 14 and 17 minutes?Give your answer accurate to two decimal places.Let Zw distributed as Chi square random variable with n degree of freedom. Find the limiting distribution of Wn = Zw/n2Assume the random variable x is normally distributed with mean µ = 85 and standard deviation o=4. Find the indicated probability. P(x < 80) P(x <80) = (Round to four decimal places as needed.)Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON