Suppose that X follows a binomial distribution with a mean that equals 4. If the range of X is known to be 10, what is the probability that X is either 2 or 4 ?

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A:

Q: Suppose that it is known that the number of items produced in a factory during a week is a random…

A: Given X: Week's Production μ = 50σ2 = 25 ⇒ σ=5

Q: About 77​% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: The probability that the sample proportion surviving for at least 3 years will be less than 72​% is,

Q: If X is a random variable with a mean of 20 and a standard deviation of 5, what is the probability…

A: probability that X is greater than 25=0.1587

Q: data from an assessment of a group of subjects is known to have a mean of 100 and a standard…

A: Suppose the variable of interest is x with mean  and the standard deviation of .

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Suppose Y follows binomial distribution with mean =10 and variance of 7, what is the value of the…

A: We have to find out probabiity of success..

Q: Suppose X is a continuous random variable with mean of 60 and standard deviation of 10. What is the…

A:

Q: What is the probability of a group of 4 having a score of atleast 60 if the mean is 50 and SD is 8?

A: given data  n = 4 μ = 50σ = 8P(x¯≥60) = ?

Q: Example: If 25 percent of all patients with high blood pressure have bad side effects from a certain…

A: The probability that a patient with hypertension may have negative side effects from a particular…

Q: ppose the number of births at a local hospital follows a Poisson distribution with a mean of 6…

A: given data  λ = 6 births per week cx = no. of births in a week P(x=X) =e-λ(λ)xx!

Q: Suppose you work in human resources at a tech company and you're hiring four employees to work in IT…

A: P(good worker) = p = 0.70sample size(n) = 4x = no.of good workersP(X=X) =nCxpxqn-x   ____binomial…

Q: Suppose X is a normally distributed random variable with a mean of -39.7 and a standard deviation of…

A: Here we need to find the required probability.

Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…

A: It is given that the mean is 35 and the standard deviation is 8.

Q: Suppose we assume that the distribution of the number of  cardinal birds observed per year is…

A: Distribution of the number of cardinal birds observed per year is normally distributed. True mean…

Q: If n=6 and mean= .40 , what is the probability that X>1?

A: Given,n=6 , mean=0.40A random variable X~Binomial(n, p)

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: n=60, p=0.61

Q: Explain why X can be modeled by a binomial distribution even though the sample was selected without…

A:

Q: Q10 If the underlying incidence rate of chronic bronchitis in the first year of life is 0.05. Use…

A: Given, p = 0.05 n = 8 Binomial distribution probability is: P(X = x) = nCxpx(1-p)x

Q: What are the chances that a person who is murdered actually knew the murderer? The answer to this…

A: This is a binomial distribution problem with n = 60 and p = 0.61. We can use the binomial…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given: Normal approximation

Q: If Z is a random variable with a mean of 100 and a standard deviation of 20, what is the probability…

A: Introduction: A random variable Z with mean 100 and standard deviation 20 follows a normal…

Q: Suppose x is a normally distributed random variable with mean = 14 and st.dev = 2 . Find the…

A:

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given: p=0.61q=1-p=1-0.61=0.39n=68 X=Victims did not know their murderers X~Binomn=68, p=0.61

Q: Suppose X is an exponentially distributed random variable with mean 1. Then the median of the random…

A: let X be the exponentially distributed random variable with mean=1 Then we have to check whether the…

Q: 4. Suppose that the lifetime of a laptop has normal distribution with mean (expectation) 10 (in…

A: Given  μ=10=population mean, population standard deviation=σ(unknown)  P(X<11)=84%

Q: upper bound to the probability that the child’s time playing video games on a given day will exceed…

A:

Q: Suppose that 70% of civil servants in South Africa are trade union members. Using the binomial…

A:

Q: Suppose the number of births at a local hospital follows a Poisson distribution with a mean of 6…

A: From the provided information, The number of births at a local hospital follows a Poisson…

Q: Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum…

A: From the given information ,Population mean , 183Population standard deviation , 37sample size , n =…

Q: Suppose you work in human resources at a tech company and you're hiring four employees to work in IT…

A: Given data  Binomial distribution P(being good worker) =p=0.70 n= No. of trials = 20 x=No. of…

Q: Q2. If the lifetime X of a hearing aid battery has Weibull distribution with a = 0.1,ß = 0.5. Find…

A: Solution is given below.

Q: Suppose that the amount of a weekly grocery bill of all households in a metropolitan area is…

A: Mean = 140 Sample standard deviation = 35 Sample size = 49 Using standard normal distribution.

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Hey, since there are multiple subparts posted, we will answer the first three subparts. If you want…

Q: Two devices work independently. The working time has an exponential distribution with the mean 50…

A: Given that two devices work independently. The working time of two devices have an exponential…

Q: Suppose that X follows a binomial distribution with mean that equals 4. If the range of X is known…

A: A