20jmurphy82
18.01.2021 •
Mathematics
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.9 millimeters (mm) and a standard deviation of 1.2 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
Solved
Show answers
More tips
- F Food and Cooking Why Chicken Liver Pops and How It Can Affect Your Health?...
- F Food and Cooking Effective Methods to Organize Videos in your iPad According to Content...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics What is the solution set for the following intequality -3x+2 11...
- M Mathematics In the number 576,439,260 the 4 is in A. the millions place. B. the thousands place. C. the ten thousands place. O D. the hundred millions place. O E. the hundred thousands place,...
- M Mathematics I need help on this please...
- M Mathematics Determine the rent per customer in a downtown area where the rent per month is $1,200 and the projected customer traffic per month is 9,500. Your answer Determine the rent per...
- M Mathematics Use the simple interest formula i= prt. What is the value of i, if p=$6000, r=5%, and t= 3 years...
- M Mathematics Find the sum/difference of the following. Find the sum/difference of the following. (7.2 x 10^3) + (1.4 x 10^3)...
- M Mathematics Use the diagram of a rhombus to answer the question. 54 *not drawn to scale What is the value of x? A. 18 B. 36 C. 54 OD. 126 Help please!! Need a pro...
- M Mathematics A. -5 B. 11 C. 38 - 8i D. 3+ 8i...
- M Mathematics The following statement tells one way to map preimage points to image points when performing a transformation in the coordinate plane. (x, y) → (x + 8, y − 3) This can be read,...
- M Mathematics John runs 9 miles in an hour. How much distance (in miles) will he cover in 4/3 hours?...
Ответ:
a) The probability that the thickness is less than 3.0 mm
P(X<3.0) = 0.057
b) The probability that the thickness is less than 7.0 mm
P(X>7) = 0.0401
c) The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7)= 0.9029
Step-by-step explanation:
Step(i):-
Given mean of the Population (μ) = 4.9 mm
Standard deviation of the Population(σ) = 1.2 mm
a)
Let 'X' be the random variable in normal distribution
The probability that the thickness is less than 3.0 mm
= 1 - ( 0.5 + A(1.583)
= 0.5 - A(1.583)
= 0.5 - 0.4430
= 0.057
The probability that the thickness is less than 3.0 mm
P(X<3.0) = 0.057
b)
Let 'X' be the random variable in normal distribution
The probability that the thickness is less than 7.0 mm
= 0.5 - 0.4599 ( from normal table )
= 0.0401
The probability that the thickness is less than 7.0 mm
P(X>7) = 0.0401
c)
Let 'X' be the random variable in normal distribution
The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7) = P( - 1.583 < X < 1.75 )
= A( 1.75 ) + A( -1.583)
= A(1.75)+A(1.583)
= 0.4599 + 0.4430
= 0.9029
The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7)= 0.9029
Ответ: