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
irina [24]
3 years ago
8

A normal distribution has a standard deviation equal to 39. What is the mean of this normal distribution if the probability of s

coring above x = 209 is 0.0228?
Mathematics
1 answer:
Naily [24]3 years ago
7 0

Answer:

The mean is \mu = 131

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\sigma = 39

What is the mean of this normal distribution if the probability of scoring above x = 209 is 0.0228?

This means that when X = 209, Z has a pvalue of 1-0.0228 = 0.9772. So when X = 209, Z = 2.

Z = \frac{X - \mu}{\sigma}

2 = \frac{209 - \mu}{39}

209 - \mu = 2*39

\mu = 209 - 78

\mu = 131

The mean is \mu = 131

You might be interested in
Jessie claims that if any number is doubled and then increased by 1, the result will be greater than 4.
Kamila [148]

Answer:

n = 1

Step-by-step explanation:

1 x 2 = 2
2 + 1 = 3
3 < 4

hope this helps

3 0
2 years ago
Please hurry i need these fast
ExtremeBDS [4]

Answer:

95

Step-by-step explanation:

you first find out the angles mn and mt.

Since ns and ms are the same, we know ms is 35 degrees.

mt is 50, so we subtract 50 and 35 from 180, which is the degree of m.

so the answer is 95 degrees.

5 0
3 years ago
Read 2 more answers
What would be the answer to 8x^6/ 8x^5 =?
Lubov Fominskaja [6]
In dividing two equation with variables and exponent, First you must align or rearrange the equation and group them base on their variables but don't forget the sign of each variables. Second, proceed in dividing its quantity and then subtract its exponent to the other variables having the same. So by calculating it, the answer would be  X or X^1 
3 0
3 years ago
Help me with this question, please, ill choose brainiest and give u 30 points for answering
Vsevolod [243]

Answer: D

Step-by-step explanation:

4 0
3 years ago
If it costs $55 for 20 people to go rent a movie at red box how much does it cost per person?​
marusya05 [52]
55/20 = 2.75
It costs $2.75 per person
4 0
2 years ago
Other questions:
  • What is 90.73737464646464647454646454545
    12·1 answer
  • There are ten pieces of pizza. Anthony ate 1 16 of the pizza for dinner. He ate 7 20 of the pizza for a bedtime snack. How much
    7·1 answer
  • Drag each expression to show whether it is equivalent to −2.6x−(−5.9x), −2.6x+(−5.9x), or neither. −2.6x−5.9x 5.9x+(−2.6x) 5.9x−
    9·2 answers
  • Choose all the numbers that are part of Integers.
    7·2 answers
  • 21 = 3x what does equally
    13·2 answers
  • How many cubes are needed to build the base of this structure?<br> A.6<br> B.3<br> C.5<br> D.4
    5·2 answers
  • Find the circumference and area of the circle.
    6·1 answer
  • Exposing mdfs like ab​
    6·1 answer
  • 5.) Find the area of the triangle in bold.
    7·2 answers
  • How many division facts can you write to represent the factors of 15?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!