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
vazorg [7]
2 years ago
12

Given that x is a normally distributed random variable with a mean of 50 and a standard deviation of 2, find the probability tha

t x is between 47 and 54.
Mathematics
1 answer:
Shkiper50 [21]2 years ago
5 0

Let X be the normal variable with mean μ =50 and standard deviation σ =2

We have to find probability that x is between 47 and 54

P(47 < X < 54) = P(X < 54) - P(X < 47)

= P(\frac{x-mean}{standard deviation} - P(\frac{x-mean}{standard deviation}

= P(Z < 2) - P(Z < -1.5)

Using standard normal z score table to find probabilities we get

P(Z < 2) = 0.9772

P(Z < -1.5) = 0.0668

P(47 < X < 54) = P(Z < 2) - P(Z < -1.5)

= 0.9772 - 0.0668

P(47 < X < 54) = 0.9104

The probability that x is between 47 and 54 is 0.9104

You might be interested in
If f(x) = 4x2 and g(x) = x+1, find (f.g)(x).​
joja [24]

Answer:

8x+8

Step-by-step explanation:

(f.g)(x)= (f)(g)

(f.g)(x)=(4.2)(x+1)

(f.g)(x)=(8)(x+1)

(f.g)(x) =8x+8

7 0
3 years ago
An artist creates a right prism whose base are regular pentagons. He wants to paints the lateral surfaces of the prism. One can
Usimov [2.4K]
He needs 13 cans of paint.

The lateral area is given by the area of 5 rectangles, whose dimensions are 15 by 5:
5(15)(5) = 375

Divide this by 30:
375/30 = 12.5 ≈ 13
6 0
2 years ago
Given an exponential function for compounding interest, A(x) = P(.91)^x, what is the rate of change?
Marina CMI [18]

The confirmed correct answer is -9%. Trust me.

7 0
3 years ago
Read 2 more answers
Guys I need your help !!!
mars1129 [50]

Answer:

hope this helps you

a lot

have a great day..

4 0
2 years ago
If 19.40 is paid per 200 brochures how much is paid for 600 brochures sold
arlik [135]

Answer:

$58.20

Step-by-step explanation:

600 /200 = 3

3 * 19.40 = 58.20

5 0
3 years ago
Other questions:
  • What is the factoring tree for 27
    12·1 answer
  • Round 13.045 to the nearest whole number.
    12·2 answers
  • The state of Colorado is in the shape of a rectangle whose length is 380 miles and whose length is 380 miles and whose width is
    11·2 answers
  • *PLEASE ANSWER SOON*
    11·2 answers
  • Space provided.
    15·1 answer
  • Circle O is shown. 2 secants intersect at a point outside of the circle to form angle 1. The first arc formed is d, and the seco
    14·2 answers
  • What is tue equation of the function represented by this table of values x -2-1 0 1 2 y 3/26 3/5 3 15 76
    15·1 answer
  • 3. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with
    11·1 answer
  • 1.
    11·1 answer
  • 4 and 1 over 4 divided by 1 and 7 over 8
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!