Random Variable Problems & Solutions

A population of values has a normal distribution with $μ = 198.8$ and $σ = 69.2$ . You intend to draw a random sample of size $n = 147$ .
Find the probability that a single randomly selected value is between 184 and 205.1.
$P (184 < X < 205.1) =$ ?
Write your answers as numbers accurate to 4 decimal places.

Globokim8 2020-10-25

A population of values has a normal distribution with $μ = 239.5$ and $σ = 32.7$ . You intend to draw a random sample of size $n = 139$ .
Find the probability that a sample of size $n = 139$ is randomly selected with a mean greater than 235.9.
$P (M > 235.9) =$ ?
Write your answers as numbers accurate to 4 decimal places.

Efan Halliday 2020-10-25

A population of values has a normal distribution with $μ = 120.6$ and $σ = 48.5$ . You intend to draw a random sample of size $n = 105$ .
Find the probability that a sample of size $n = 105$ is randomly selected with a mean greater than 114.9.
$P (M > 114.9) =$ ?
Write your answers as numbers accurate to 4 decimal places.

cistG 2020-10-25

A normal population has mean $μ = 20$ and standard deviation $σ = 4$ .
What proportion of the population is less than 18?

facas9 2020-10-23

A population of values has a normal distribution with $μ = 116.3$ and $σ = 27.5$ . You intend to draw a random sample of size $n = 249$ .
Find the probability that a single randomly selected value is greater than 117.3.
$P (X > 117.3) =$ ?
Write your answers as numbers accurate to 4 decimal places.

Tabansi 2020-10-21

What does the variance of a random variable measure?
What is the standard deviation of a continuous random variable X?

CheemnCatelvew 2020-10-18

A population of values has a normal distribution with $μ = 239.5$ and $σ = 32.7$ . You intend to draw a random sample of size $n = 139$ .
Find the probability that a single randomly selected value is greater than 235.9.
$P (X > 235.9) =$ ?
Write your answers as numbers accurate to 4 decimal places.

When you have an equation that deals with random variables, always start with an explanation related to some random variable examples. It is what the majority of skilled engineers do because it is the only way how one can avoid mistakes when working with statistical data. Even though this part of statistics and probability may seem overly complex, approach every random variable equation through the lens of probability as you seek answers to your questions. Compare provided solutions, see similarities, and you will achieve the most efficient solutions.

Explore Random Variables: Examples & Equations

A population of values has a normal distribution with μ=198.8 and σ=69.2. You intend to draw a random sample of size n=147. Find the probability that a single randomly selected value is between 184 and 205.1. P(184<X<205.1)=? Write your answers as numbers accurate to 4 decimal places.

A normal population has mean μ=20 and standard deviation σ=4. What proportion of the population is less than 18?

A population of values has a normal distribution with μ=116.3 and σ=27.5. You intend to draw a random sample of size n=249. Find the probability that a single randomly selected value is greater than 117.3. P(X>117.3)=? Write your answers as numbers accurate to 4 decimal places.

What does the variance of a random variable measure? What is the standard deviation of a continuous random variable X?

A population of values has a normal distribution with μ=239.5 and σ=32.7. You intend to draw a random sample of size n=139. Find the probability that a single randomly selected value is greater than 235.9. P(X>235.9)=? Write your answers as numbers accurate to 4 decimal places.

A normal population has mean $μ = 20$ and standard deviation $σ = 4$ .
What proportion of the population is less than 18?

What does the variance of a random variable measure?
What is the standard deviation of a continuous random variable X?