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
Helga [31]
3 years ago
7

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

distributed, with a mean of 4.5 millimeters (mm) and a standard deviation of 1.5 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.)(a) the thickness is less than 3.0 mm(b) the thickness is more than 7.0 mm(c) the thickness is between 3.0 mm and 7.0 mm
Mathematics
1 answer:
storchak [24]3 years ago
8 0

Answer:

a) 0.1587

b) 0.0475

c) 0.7938

Step-by-step explanation:

Let's start defining our random variable.

X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''

X is modeled as a normal random variable.

X ~ N(μ,σ)

Where μ is the mean and σ is the standard deviation.

To calculate all the probabilities, we are going to normalize the random variable X.

We are going to call to the standard normal distribution ''Z''.

[(X - μ) / σ] ≅ Z

We normalize by subtracting the mean to X and then dividing by standard deviation.

We can find the values of probabilities for Z in a standard normal distribution table.

We are going to call Φ(A) to the normal standard cumulative distribution evaluated in a value ''A''

a)

P(X

P(ZΦ(-1) = 0.1587

b)

P(X>7)=P(\frac{X-4.5}{1.5}>\frac{7-4.5}{1.5})

P(Z>1.666)=1-P(Z\leq 1.666)=

1 - Φ(1.666) = 1 - 0.9525 = 0.0475

c)

P(3

P(-1 Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938

You might be interested in
Urgent help needed, thanks!
SSSSS [86.1K]

Answer:

2/5 is the rest of the shirts

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the value of the expression |x + y| when x = –8 and y = –13?
Free_Kalibri [48]
|x+y| = |-8+(-13)| = |-8-13| = |-21| = 21
8 0
3 years ago
Answer fast whoever get it right gets BRAINLIEST!!!
dlinn [17]
Is it d=8/3????......
5 0
2 years ago
Points Z(4,3) X(-5,-2) Y(4,-2) plot them and then find the perimeter and area
mash [69]

Answer:

z(43)x(−5−2)y(4−2)

=−602xyz

Step-by-step explanation: HOpe this help , pls mark me as brainlisti

7 0
2 years ago
A survey was done that asked people to indicate whether they preferred pool swimming or ocean swimming. The results of the surve
Leviafan [203]

I am 100% sure it is A. I did the test and it showed it was A.

Please leave a thanks.

5 0
3 years ago
Other questions:
  • Find area of shaded region. Round to the nearest tenth need help ASAP
    6·2 answers
  • Write “252 miles per 8 gallons” as a rate in simplest form.
    7·1 answer
  • Someone knows how to do this?<br><br> Please, help me!
    5·1 answer
  • What’s is this one ????
    9·1 answer
  • Henry needs to rent a tractor. Jim Bob’s Equipment rentals rents tractors for a delivery fee of $230 plus an additional $14 per
    13·1 answer
  • At a concert the ratio of men to women is 5:3
    11·1 answer
  • Augustus ruled the roman empire from 27 BC to AD 14.For how many years did he rule?<br><br><br>​
    10·2 answers
  • 48 is 214% of what number ?
    9·1 answer
  • PLEASE HELPP IM TIMED I'LL DIE I'LL GIVE BRAINLIEST AND 15 POINTSSS
    11·1 answer
  • Mr. Lawton bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of sugar cookies, how many batches of
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!