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
Ipatiy [6.2K]
2 years ago
10

Normal Distribution Problem. Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy

and storage. Assume porphyrin is normally distributed with mean (mu) = 38 milligrams per deciliter and standard deviation (sigma) = 12 milligrams per deciliter. a) What is the probability that x is less than 56? (56-38)/12= 18/12= 1.5 → 0.4332 (?) b) What is the probability that x is greater than 23? (23-38)/12= -1.25 → Z=

Mathematics
2 answers:
natka813 [3]2 years ago
7 0

Answer:

A) P(X < 56) = 0.9332

B) P(X > 56) = 0.8944

Step-by-step explanation:

From the question, Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage.

Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood.

x is approximately normally distributed with;

mean μ = 38

standard deviation σ = 15.

So the distribution of X is written as:

X ~ N (μ = 38, σ = 15)

A) The required probability that x is less than 56 is given as;

P(X < 56) = P((x - μ)/σ) < (56-38)/15)

Thus, we have;

P(z ≤ 1.5)

From the table attached, it gives a value of; 0.93319 ≈ 0.9332

B)The required probability that x is greater than 23 is given as;

P(X > 56) = P((x - μ)/σ) < (23-38)/12)

Thus, we have;

P(z ≥ -1.25) = 1 - P(z ≤ -1.25)

From the second table attached,

P(z ≥ -1) = 1 - 0.10565 = 0.89435 ≈ 0.8944

GarryVolchara [31]2 years ago
4 0

Answer: a) 0.9332, b) 0.8944

Step-by-step explanation: the probability value attached to a z score is gotten by using a z distribution table.

The z score is gotten by making use of the formulae below

Z = x - u / σ

Where x = sample mean, u = population mean and σ = population standard deviation.

a)

For our question, u = 38, σ = 12, we are to look for the z score at z ≤ 56, that's x = 56

By substituting the parameters, we have that

z ≤ 56 = 56 - 38/ 12

z ≤ 56 = 18/12

z ≤ 56 = 1.5

To get the probabilistic value, we check the normal distribution table.

The table I'm using will be giving me probabilistic value towards the left of the area.

From the table, p ( z ≤ 56) = 0.9332.

b)

Z >23 = 23 - 38/ 12

Z >23 = - 15/ 12

Z >23 = - 1.25

The probability value of this z score is towards the right of the distribution but the table I'm using is only giving probability values towards the left.

Hence Z >23 = 1 - Z<23

From the table, Z<23 = 0.1056.

Z >23 = 1 - 0.1056

Z >23 = 0.8944

You might be interested in
Ethan rode 25.65 kilometers on Saturday and 14.23 kilometers on Sunday. About how far did Ethan ride during the two days?
vazorg [7]
So for this problem we are looking for a sum (total). So first we are going to round 25.65 to 25.7 and round 14.23 to 14.2

Now we are going to add 25.7 and 14.2 to get a total of 39.9

Ethan rode 39.9 kilometers.
3 0
3 years ago
Read 2 more answers
Combination and permutation problems. Giving brainliest to whoever works it out and explains it to me!
Ronch [10]

Answer:

5: Permutation. 6: Combination

Step-by-step explanation:

Being that the team of Basketball players are <u>Arranging</u> who will change the water cooler, then the Answer is <u>Permutation</u>.

Mei has homework, and she's deciding which subject to do first. She has a <u>Selection</u> of choices, thus being the Answer- <u>Combination</u>.

Hope this makes sense. If you need clarification, feel free to reach back out to me.

3 0
3 years ago
Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5) pls answer
myrzilka [38]

Answer:

Step-by-step explanation:

Finding an equation of a tangent line to that function requires that we find the derivative of the function at that point. Since this is an absolute value function with its cusp at (2, 5), the function is not differentiable here.

3 0
3 years ago
Agora chess club has 16 members and gains a new memeber every month. The key club has 4 members and gains 4 new members every mo
svlad2 [7]

Answer:

For chess club:

y1 = 16 + 1*x where y1=total number of members after x months  

For film club

y2 = 4 + 4*x where y2=total number of members after x months  

y1 = y2 at  

16 + x = 4 + 4x

3x = 12  

x = 4  

Therefore, after 4 months they the same number of members (equals 20 members, 16 + 1*4 or 4 + 4*4).


3 0
3 years ago
Help pls will mark brainliest
Viktor [21]

Answer:

kitchi kitch ya ya da da

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • What Is the sum of 6/1 and 4/1
    10·1 answer
  • (3 8) 1 = 3 (8 1) A.True B.False
    9·1 answer
  • Please help ASAP EASY MATH!!!!! Only 18-20
    6·2 answers
  • In a school, the ratio of musicians to athletes is 3 : 1. The number of musicians is how many times the number of athletes?
    13·1 answer
  • Please help <br> i need ASAP
    10·2 answers
  • Jacob earns 9.50 per hour for mowing his neighbor's yards. Last weekend Jacob earned $57. Which equation can be used to determin
    14·1 answer
  • Part 7 math work 10th-grade work
    5·1 answer
  • BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
    12·1 answer
  • PLEASE HELP I WILL MARK BRAINLIEST!!!! :)
    13·2 answers
  • What is the relationship between the domain and range of a relation and its inverse?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!