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
Mashutka [201]
3 years ago
15

X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to

the left of 8.52.
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

You might be interested in
Tumor counts: A cancer laboratory is estimating the rate of tumorigenesis in two strains of mice, A and B. They have tumor count
Igoryamba

Answer:

The observed tumor counts for the two populations of mice are:

Type A mice = 10 * 12 = 120 counts

Type B mice = 13 * 12 = 156 counts

Step-by-step explanation:

Since type B mice are related to type A mice and given that type A mice have tumor counts that are approximately Poisson-distributed with a mean of 12, we can then assume that the mean of type A mice tumor count rate is equal to the mean of type B mice tumor count rate.

This is because the Poisson distribution can be used to approximate the the mean and variance of unknown data (type B mice count rate) using known data (type A mice tumor count rate).  And the Poisson distribution gives the probability of an occurrence within a specified time interval.

3 0
3 years ago
Please help I have no one to explain this to me​
seraphim [82]

Answer:

y= -1/2x+5 , y= -4x -2

Step-by-step explanation:

im not very sure

7 0
3 years ago
3/8 rounded to the nearest thousand​
ioda

19/50

llllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

5 0
3 years ago
Anyone know how to do this
blsea [12.9K]

Answer:

A B C D E MIGHT BE UR ANSWER

7 0
3 years ago
IM TAKING A TEST HELP
nignag [31]
What’s the question???...
5 0
3 years ago
Read 2 more answers
Other questions:
  • What's y=2x in standard form of a linear equation
    14·1 answer
  • Is this correct? if not please let me know how to solve it
    13·2 answers
  • anne has $28.90 more savings than beatrice. 3/5 of beatrice's savings is the same as 1/2 of anne's savings. how much does anne h
    9·1 answer
  • State the domain and range of this relation and whether or not it is a function <br><br> Thanks!
    5·1 answer
  • What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?
    10·1 answer
  • Solve 100 ÷ 5 × 4 + 4 3power
    5·1 answer
  • ∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure
    7·1 answer
  • The table represents a sample of ages and people and their shoes size.
    13·2 answers
  • Is there an ordered pair to both of these linear equations? <br><br>Y= x+1 <br><br>Y= -x+5
    5·2 answers
  • The equation of a circle is given below.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!