$MathMaster logo$

MathMaster

Home
general
let x be a continuous random variable that is normally distributed with mean u 15 and standard deviation 2 8 find p 12 2 x

Question

Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard deviation, σ = 2.8, find P( 12.2 < x < 18.36). Answer should contain 4 decimal places and enter in the form 0.XXXX

179

likes

893 views

Answer to a math question Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard deviation, σ = 2.8, find P( 12.2 < x < 18.36). Answer should contain 4 decimal places and enter in the form 0.XXXX

$Expert avatar$

4.8

105 Answers

The probability that the continuous random variable \( X \) falls between 12.2 and 18.36, given that \( X \) is normally distributed with a mean (\( \mu \)) of 15 and a standard deviation (\( \sigma \)) of 2.8, is approximately 0.7263 or 72.63%.

Frequently asked questions (FAQs)

What is the standard deviation of the set {4, 6, 8, 10, 12}?

+

What is the mode of the following data set: 3, 5, 7, 5, 3, 9, 5, 2, 4?

+

What is the value of x if log(base 2)(x+4) = 3?

+

New questions in Mathematics

Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?

A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

Given the vectors: a = (2m – 3n, 4n – m) and b = (2, -3), find the values of m and n that make: a = 5 b.

Investing equal amounts of money into each of five business ventures Let's say you plan. 20 to choose from If there are initiatives, how many different ones among 20 initiatives? five startups can be selected?

If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?

The length and breadth of my rectangular vegetable garden is 12,5m and 7,25m respectively. What is the perimeter of the garden?

Equivalent expression of the sequence (3n-4)-(n-2)

If 0101, what is the binary representation of the 4x16 decoder output?

What is 28 marks out of 56 as a percentage

The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.

1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?

A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?

Derivative of 2x

Build a truth table for the statement ~(pvq)^~p

factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30

Evaluate ab+dc if a=56 , b=−34 , c=0.4 , and d=12 . Write in simplest form.

A triangle is cut by a line s parallel to the base in such a way that it divides the side of the triangle into parts in the ratio of 2 : 3. Find the other side of the triangle if it is known that the line s divides it into parts whose length is 5 cm.

-Please answer to the following questions: What is the price elasticity of demand? Can you explain it in your own words? What is the price elasticity of supply? Can you explain it in your own words? What is the relationship between price elasticity and position on the demand curve? For example, as you move up the demand curve to higher prices and lower quantities, what happens to the measured elasticity? How would you explain that? B-Assume that the supply of low-skilled workers is fairly elastic, but the employers’ demand for such workers is fairly inelastic. If the policy goal is to expand employment for low-skilled workers, is it better to focus on policy tools to shift the supply of unskilled labor or on tools to shift the demand for unskilled labor? What if the policy goal is to raise wages for this group? Explain your answers with supply and demand diagrams. Make sure to properly cite and reference your academic or peer-reviewed sources (minimum 2).

f(r) = 1/r+9 find f(x^2) + 1