If the mean age of the managers in company is 52 years with a standard deviation of 2.5 years, what is the probability that a randomly chosen manager will be between 54.5 and 57 years old

Answer:

13.5 %

Step-by-step explanation:

For a normal distribution, the Empirical Rule states that 68% of values lie between 1 standard deviation of the mean, 95% of values lie between 2 standard deviations of the mean, and 99.7% of values lie between 3 standard deviations of the mean. Here, we can see that 54.5 is 1 standard deviation away from the mean and 57 is 2 standard deviations away. This means that we want to find the difference between 1 and 2 standard deviations from the mean (in the positive direction)

To find the difference, we can simply find (percent of values 2 standard deviations of the mean) - (percent of values 1 standard deviation from the mean) = percent of values between 1 and 2 standard deviations from the mean

= 95-68 = 27 %

Finally, this gives us the percent of values between 1 and 2 standard deviations from the mean on both sides. We want to only find the positive aspect of this, as we don't care how many values are between 49.5 and 47 years old. Because normal distributions are symmetric, or equal on both sides of the mean, we can simply divide by 2 to eliminate the half we don't want, resulting in 27/2 = 13.5

The probability that a randomly chosen manager will be between 54.5 and 57 years old is 0.8413.

Given that, average age managers = 52 years standard deviation = 2.5 years.

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Considering the equation Z =  (X−μ)/σ

Where, X is the lower or higher value, as the case may be μ  is the average σ  is standard deviation

Now, z1= (54.5 - 52)/2.5

= 1

z2= (57 - 52)/2.5

= 2

Now, z2-z1= 2-1

= 1

P(54.5>Z<57)= 0.8413

Therefore, the probability that a randomly chosen manager will be between 54.5 and 57 years old is 0.8413.

Learn more about the standard deviation visit:

brainly.com/question/13905583.

#SPJ2

As a student, you are able to earn extra money by assisting your neighbors with odd jobs.
If you charged $10.25 an hour for your assistance, about how many hours would you
need to work to earn $8,425? Show your work. (

Espanol
In the past year Christine watched 24 movies that she thought were very good. She watched 60 movies over the whole year. of the movies she watched, what
percentage did she rate as very good?

It need the answer to these please

A-(buc)=(A-b)u(A-c)
​

Determine if the outside temperature is a function of the time of day or if the time of day is a function of temperature and explain why or why not.

find the surface area of the prism.​

At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "80% chance of winning!" What is the chance that a player may not win?

20%
40%
50%

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.
Slope= 1/3, passing through the origin.

Assuming that a person going to community college can't afford to go to a four-year college is an example of a) a generalization. b) discrimination. O c) a stereotype. O d) tolerance.

2.
Mr. Champion has 14 fruit trees.
He has 1 apple tree and 1 plum tree, and the rest are divided evenly
among apricot, pear, and peach trees.
Last Thursday, Mr. Champion picked 6 apricots from each apricot
tree, 10 peaches from each peach tree, 3 pears from each pear tree, and 4
apples from the apple tree.
How many pieces of fruit did Mr. Champion pick last Thursday?
(Show your work)

Which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population? A. 60% B. 70% C. 80% D. 90% ​

The sum of the lengths of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 11 cm and a second side that is 1 cm less than twice the third side, what are the possible lengths for the second and third sides?

How many skirt-blouse outfits can a woman choose from if she has 5 skirts and 6 blouses?

Does anyone know the answer??

ba xạ thủ độc lập bắn vào một mục tiêu. xác suất bắn trúng tương ứng là 0,8; 0,7; 0,6. mỗi xạ thủ bắn một viên. gọi X là số viên bắn trúng.
a) lập bảng phân phối xác suất.
b) tính E(X) và VAR(X)

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the​ ball's height above the​ ground, h, in​ feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the​ ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.
h=-16t^2+16t+320
The ball hits the ground after____ seconds

Answer the picture. X=450 BAC= 82 ABC=52
What’s the distance between A to C

What is the mapping for a reflection in the line y=-1

g Two different factories named A and B both produce an automobile part. If a part came from A, the probability that the part is defective is .04. If the part came from B, the probability that it is defective is .05. In a sample of 180 parts, 100 came from A and 80 came from B. (a) What is the probability that a part chosen at random (from the sample) was defective

tentukan himpinan penyelasaian dari plsv berikut. A:3x+=2x+12​

不
Which line is horizontal?
O y=2
O y = 2x
O y = -2x
o y=x

The prices of paperbacks sold at a used bookstore are approximately Normally distributed, with a mean of $7.85 and a standard deviation of $1.25.


Use the z-table to answer the question.


If the probability that Joel randomly selects a book in the D dollars or less range is 56%, what is the value of D?


$4.46

$7.75

$8.04

$8.10

(C) 8.04

Hey there, everyone!

I just wanted to shout out to all of those whom have helped me through my tortuous math homework and say thank you very much. XD

I manage to pass my very first year of high school without physically going to school.

It was a lot of twist and turns, I must say. But at least I managed to pass through!

Man, I'm gonna miss 2021 because now I'll have to ACTUALLY go to school. But when that day comes, I do hope you guys will continue helping me on!

In the mean time, stay safe everyone and thanks a lot!

But hold up! I got one more question!

I really want to delete my account so badly but I can't because I forgot my password and I'm using my school email unfortunately. Anyone got a solution to my issue? :(

The perimeter of Tamara's suitcase is 8x - 3 and the perimeter of Anna's suitcase is
3x + 2. Write an algebraic expression that represents
the difference between the perimeter of Tamara's suitcase
and the perimeter of Anna's suitcase?

Find the missing Side of the triangle

Find two consecutive whole numbers that ✓39 lies between.

X-3y=-3; ( ,4), (12, ) complete each ordered pair

Volunteering: The General Social Survey asked 1309 people whether they performed any volunteer work during the past year. A total of 518 people said they did. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) Find a point estimate for the population proportion of people who performed volunteer work in the past year. Round the answer to at least three decimal places. The point estimate for the proportion of people who performed volunteer work in the past year is .

The midpoint of AB is (1.2). The coordinates of A are (-3, 6) Find the coordinates of B.

is f(x)=e^-3x an exponential function?