Consider a random variable Y that follows an exponential distribution with a rate parameter of 0.5. What is the probability that Y is greater than 2?

Q: The random variable X is exponentially distributed, where X represents the waiting time to see a…

A: The random variable X, which reflects the time it takes to see a shooting star during a meteor…

Q: A population had a mean of u= 30 and a standard deviation of o = 8. If the population distribution…

A: We have, A population had a mean of μ = 30 and a standard deviation of σ = 8 we want to find the…

Q: What distribution could be used to approximate a t-distribution with v=90 degrees of freedom?

A: degrees of freedom v=90

Q: A small ferry runs every half hour from one side of a large river to the other. The number of cars X…

A: The objective of the question is to define the random variable M, which represents the money…

Q: If a score is selected at random from a normal distribution, the probability that it will be between…

A: According to the given information in this question we need to find the given probability

Q: The proportion of the times (in days) between major earthquakes in the north-south seismic belt of…

A: a. μ=1a=11609.5=609.5σ=1a=11609.5=609.5

Q: A normal distribution has a mean of u = 87 with o = 6. If one score is randomly selected from this…

A: Given:  Random variable x from normal distribution with mean mu=87 amd standard deviations=6  Then…

Q: random variable X follows Poisson distribution with a rate of 7. Calculate the probability P(X =…

A: A random variable X follows Poisson distribution with a rate of 7. here λ=7we have to find out the…

Q: The time it takes me to wash the dishes is uniformly distributed between 12 minutes and 18 minutes.…

A: Given,A random variable X~U(12 , 18)f(x)=118-12f(x)=16  ;  12≤X≤18and F(X)=P(X≤x)=x-1218-12

Q: A normal distribution has a mean of u = 100 with 0 = 20. If one score is randomly selected from this…

A:

Q: A study conducted by the child mine institute found that children spend on average 5.5 minutes in…

A: The objective of this question is to find the probability that a randomly selected child spends more…

Q: A variable X follows a normal distribution with mean 1.5 and standard deviation 2. Calculate the…

A: GivenA variable X~Normal(1.5,2)Mean(μ)=1.5standard deviation(σ)=2

Q: The discrete random variable X is the number of students that show up for Professor Jones' office…

A: We have given that, X is a discrete random variable i.e. number of students.   The probability…

Q: If a random variable X has the gamma distribution with a = 2 and ẞ= 1, find P(1.7<X<2.3).

A: P(1.7&lt;x&lt;2.3)=16.24%Explanation:Given: X has a gamma distribution withα=2β=1 Probability…

Q: Suppose the random variable xx has a normal distribution with μ=300μ=300 and σ=30σ=30. Find the…

A: Given: μ=300, σ=30.

Q: The Bahamas is a tropical paradise made up of 700 islands sprinkled over 100,000 square miles of the…

A: As per policy I have solved first three sub parts Given Mean of household income =36807 Standard…

Q: The level of pesticides found in the blubber of whales is a measure of pollution of the oceans by…

A: Given: μ = 340 ng/g σ = 50 ng/g n = 8

Q: X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The…

A: According to the given information in this question We need to find the following probability

Q: A random sample of n = 25 scores is obtained from a normal population with µ = 30 and σ = 6. What is…

A: The sample size is 25, population mean is 30 and population standard deviation is 6. The probability…

Q: A random sample of n = 16 scores is obtained from a normal population with µ = 40 and σ = 8. What is…

A:

Q: andom variable X follows Poisson distribution with a rate of 5. Calculate the probability P(X = 4)?

A: A random variable X follows Poisson distribution with a rate of 5.λ=5  Calculate the probability P(X…

Q: Prove that the E(X) = 1/p for a geometric distribution, where x is the number of trials.

A: The geometric distribution with probability that ranges from 0 to 1 is a discrete probability on the…

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: Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy…

A: a) Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Suppose that you take a sample of size 15 from a population that is known to be normally…

A: Solution: Given: Suppose that you take a sample of size 15 from a population that is known to be…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A:

Q: (d) X is a normal random variable with a mean of u = 7. If P(X < 4) = 0.40, approximately what is…

A: We have to find variance of data.

Q: If X is exponentially distributed with a mean of 3, can you find a uniform distribution U[a,b] with…

A: The provided information is as follows:The  is exponentially distributed with the mean 3..The mean…

Q: A population of values has a normal distribution with u = 190.9 and o = 93.5. You intend to draw a…

A: We have given that.   X~N( μ , ?^2 )   μ= 190.9 , ? =93.5 , n=229   Z-score =( x - μ )/?

Q: Medical: Blood Glucose. A person’s blood glucose level and diabetes are closely related. Let x be a…

A:

Q: The World Bank records the prevalence of HIV in countries around the world. According to their data,…

A:

Q: Find the probability of z greater than 0.5 if mean is 0 and standard deviation is 1.

A: Given, Mean=0 S.D=1 P(z&gt;0.5)=?

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

A: Given : Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a…

Q: normal distribution has a mean of u= 28 and o= 4. If one score is randomly selected from the…

A: Given that  A normal distribution has a mean of u= 28 and o= 4.  By using standard normal…

Q: X is a binomial random variable with n= 20 and p= 0.46 Find the mean and variance for X?

A: Answer: Using the given data, X follows binomial distribution with n = 20 and p = 0.46 X ~ Binomial…

Q: Find the probability that a randomly selected adult has an IQ less than 124.

A: Normal distribution is also known as the Gaussian distribution . It is widely used in statistics .

Q: The random variable x has a normal distribution with u = 200 and o = 20. a. Find the probability…

A:

Q: Suppose the lengths of human pregnancies are normally distributed with u = 266 days and 0 = 16 days.…

A: Explanation- 1. **Given Information**: We are given that the lengths of human pregnancies follow a…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A:

Q: A person's blood glucose level and diabetes are closely related.  Let x be a random variable…

A: Given, Mean = 85 Standard deviation = 25   The objective to is find the probability that, for an…

Q: The amount of time it takes students to complete a biology exam is normally distributed with a…

A:

Q: Consider a random variable X that follows a normal distribution with a mean (μ) of 50 and a standard…

A: Given that the random variable  follows a normal distribution with a mean of  and a standard…