The time to complete a task is a random variable X that follows a normal distribution with mean u and standard deviation of 10 minutes. Given that P(X > 10) = 0.7389, the value of P(X > 20) is closest to O 0.4132 0.5018 O 0.1752 O 0.3594 O 0.2142

Q: A random sample of n = 9 scores is obtained from a normal population with µ = 40 and σ = 18. What is…

A: It is given that, There is a normal population  with µ = 40 and σ = 18 i.e. X~N(40,182) A random…

Q: points of the population proportion of 15% is closest to (Use normal approximation): replacement.…

A: Given P=15%=0.15 1-p=0.85

Q: A random sample of 64 is taken from a large normally distributed population with a mean μ=100 and…

A: Answer: From the given data, Mean μ = 100 Standard deviation σ = 15 For a sample size of n = 64

Q: The midterm exam scores (X) and final exam scores (Y ) for a sample of students are related by the…

A: Given  E(X)=15, sd(x)=5, E(y)=35, sd(y)= 2 Y=aX+b  We want to find the value of  a and C

Q: A random sample of n = 16 scores is selected from a normal distribution with µ = 500 and σ = 200.…

A: The possible sample would be p(402 < M< 598) = 0.95Explanation:Step 1: Step 2: Step 3: Step 4:

Q: A random variable X is distributed as normal with mean u-4 and standard deviation G=4. Then P…

A:

Q: Let Zbe a random variable follows standard normal distribution,Z- N(0,1). Answer the following…

A:

Q: The 7th percentile is

A: Here given , mean =  42 standard deviation =  6 X follow normal distribution with parameter mean =…

Q: Let X be a normal random variable with mean 33 and standard deviation 4.02. Find c such that P(33-c…

A:

Q: Let x be a random variable that represents micrograms of lead per liter of water (ug/L). An…

A: Given: μ=2.0σ=0.7α=1%=0.01x¯=2.55

Q: If S and S₂ are the variance for the sample of independent random variable with size n₁ = 6 and №₂…

A: Given information: S12 and S22 are two sample variances. n1=6 and n2=10 The sampling distribution of…

Q: Let the random variable X follow a normal distribution with a mean of 61.7 and a standard deviation…

A: The question is about normal distribution Given : Popl. mean ( μ ) = 61.7 Popl. std. deviation ( σ )…

Q: Assume a normal distribution has a mean ofu- 100 with o- 20. If one score is randomly selected from…

A: We want to find probabaility for given data

Q: Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a)…

A:

Q: A random sample of size 25 is selected at random from a normal distribution with mean 20  and…

A:

Q: A random variable X is distributed as normal with mean u =6 and standard deviation o = 4. Then P (8…

A:

Q: Suppose that X is a normal random variable with a mean of μ = 140 and a standard deviation of a =…

A: Mean=140, Standard deviation=10

Q: A sampling distribution of the means of all possible samples of size 200 is formed. The population…

A:

Q: A random sample of n = 9 scores is obtained from a normal population with µ = 40 and σ = 6. What is…

A: n=9, μ=40,σ=6P(M>43)=?

Q: A population of values has a normal distribution with M=188.6 and O=11.2. You intend to draw a…

A: Given that a population of values has a normal distribution with mean=M=μ=188.6 and standard…

Q: A population of values has a normal distribution with u = 37.1 and o = 46.9. You intend to draw a…

A:

Q: P(x) 0.645 1. 0.297 0.052 0.005 0.001 0.000 2345

A: We have to use following formulae , Standard deviation : σ = ∑( x - μ)2p(x) Where , μ is mean μ =…

Q: If a random variable has the normal distribution with μ=20 and σ=5, what is the probability that it…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: Let XX represent the full height of a certain species of tree. Assume that XX has a normal…

A:

Q: Automotive engineers have found that the gas mileage in highway driving of a certain sports utility…

A:

Q: Let X be a random variable representing the weight of a randomly selected bag of apples from a…

A: Given that.   X~N( μ , ?)   μ=14     , ?=2   Z-score =( x - μ )/?

Q: If X represents a random variable coming from a normal distribution and P(X 6.5) = 0.59. True O…

A: It is given that P(X<6.5)=0.41.

Q: For a standard normal random variable Z, P(-0.86<Z<-0.24) =?

A:

Q: A normal distribution has µ = 20 and σ = 4. Which is the probability of randomly selecting a score…

A: Given that.   X~N( μ , ?^2 )   μ=20   , ?=4   Z-score =( x - μ )/?

Q: The table below gives the probability distribution for a discrete random variable X. X 0 1 2 3 4 5 p…

A: X012345p0.290.16?0.200.140.05

Q: Suppose X is a random variable with standard normal distribution. And P(X>k)=0.8413 Find the value…

A: The random variable X follows standard normal distribution. It is given that, PX&gt;k=0.8413. Now,…

Q: A random sample of n = 9 scores is selected from a normal distribution with μ = 80 and σ = 12. What…

A:

Q: Find a value of the standard normal random variable z, called zo, such that P(z < zo) = .43 O A. Zo…

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…