1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yuri [45]
3 years ago
14

In a spreadsheet, you can use the function NORM.DIST(upper bound, μ, σ, TRUE) to find the area under a normal curve for values o

f x less than or equal to a specified upper bound. Suppose the heights of all the children in a state are normally distributed with a mean of 41 inches and a standard deviation of 4 inches. What is the probability that a randomly chosen child is greater than 34 inches tall?
Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

Given Information:

Mean height of children = μ = 41 inches

Standard deviation of height of children = σ = 4 inches

Required Information:

Using Excel find P(x > 34) = ?

Answer:

P(x > 34) = 95.99%

Explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

The Microsoft Excel has a built-in function "NORMDIST" which calculates the probability of a normal distribution.

Syntax:

NORMDIST(x, mean, standard deviation, cumulative flag)  

Where x is the variable of interest

Cumulative flag = TRUE or FALSE

The probability that a randomly chosen child is greater than 34 inches tall is given by

P(x > 34) = 1 - P(x < 34)

Using MS Excel,

P(x > 34) = 1 - NORM.DIST(34,41,4,TRUE)

Which return the probability of

P(x > 34) = 1 - 0.040059

P(x > 34) = 0.959941

P(x > 34) = 95.99%

Therefore, there is 95.99% probability that a randomly chosen child is greater than 34 inches tall.

You might be interested in
The little Mexican restaurant sells only two kinds of beef burritos mucho beef sandwich Lucho beef last week the restaurant orde
Finger [1]

Answer:

Cost of a single Mucho beef burrito: \$5.5

Cost of a double Mucho beef burrito: \$6.5

Step-by-step explanation:

<h3> The exercise is: "The Little Mexican restaurant sells only two kinds of beef burritos: Mucho beef and Mucho Mucho beef. Last week in the restaurant sold 16 orders of the single Mucho variety and 22 orders of the double Mucho. If the restaurant sold $231 Worth of beef burritos last week and the single neutral kind cost $1 Less than the double Mucho, how much did each type of burrito cost?"</h3>

Let be "x" the the cost in dollars of a single Mucho beef burrito and "y" the cost in dollars of a double Mucho burrito.

Set a system of equations:

\left \{ {{16x+22y=231} \atop {x=y-1}} \right.

To solve this system you can apply the Substitution Method:

1. Substitute the second equation into the first equation and solve for "y":

16(y-1)+22y=231\\\\16y-16+22y=231\\\\38y=231+16\\\\y=\frac{247}{38}\\\\y=6.5

2. Substitute the value of "y" into the second equation and evaluate in order to find the value of "x":

x=6.5-1\\\\x=5.5

5 0
3 years ago
Please help if you can number 4
ra1l [238]
I think you are supposed to find the perimeter of it so you add all sides together to get your answer
6 0
3 years ago
Read 2 more answers
Find the slope between the given two points (-7, -13) (1, -5)
Vera_Pavlovna [14]

Answer:

1

Step-by-step explanation:

y2-y1/(x2-x1)

-5--13/1--7

8/8

Slope is 1

7 0
2 years ago
Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156
tensa zangetsu [6.8K]
An arithmetic sequence has a common difference.
143 - 130 = 13
156 - 143 = 13
169 - 156 = 13
The common difference is 13.

a1 = 130
a2 = 130 + 13
a3 = 130 + 2 * 13
a4 = 130 + 3 * 13
...
an = 130 + (n - 1) * 13

an = 130 + 13(n - 1)

an = 130 + 13n - 13

an = 117 + 13n

an = 13n + 117
4 0
3 years ago
Could someone help me with number 19
azamat

Solving #19

<u>Take y-values from the graph</u>

  • a) (g·f)(-1) = g(f(-1)) = g(1) = 4
  • b) (g·f)(6) = g(f(6)) = g(2) = 2
  • c) (f·g)(6) = f(g(6)) = f(5) = 1
  • d) (f·g)(4) = f(g(4)) = f(2) = -2
8 0
3 years ago
Other questions:
  • There are 10 to the 6th power millimeters in one kilometer. The distance from Dana’s house to her uncles house is 4 to the 4th p
    12·1 answer
  • Solve for y.
    15·1 answer
  • 85 percent of 2500cm
    14·1 answer
  • HELP FAST PLZ I HAVE LITTLE TIME I DONT WANT TO FAIL.
    10·1 answer
  • I need help please ..
    14·1 answer
  • A ___________ is a line segment that has end points on a circle and passes through the center of the circle. radius regular poly
    11·1 answer
  • You spend $300 to start and costs $20 for each dog house
    5·1 answer
  • If LM = 22 and MN = 15, find LN.
    5·1 answer
  • Use integers to represent the values in the statement.
    7·1 answer
  • (-5, 10) (-5, 9) What is the slope?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!