miguel454545
04.08.2019 •
Mathematics
Virgil has 1/6 of a birthday cake left over. he wants to share the leftover cake with 3 friends. what fraction of the original cake will the 4 people receive?
Solved
Show answers
More tips
- H Health and Medicine What Makes a Man a Man?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics Aresearcher interested in the effects of humor on memory randomly assigns 16 participants to either the humor group or the no-humor group. the humor group reads humorous sentences...
- M Mathematics Aresearcher is using a repeated-measures study to evaluate the difference between two treatments. if the difference between the treatments is consistent from one participant...
- M Mathematics Asample from 16 shortstops was obtained in an effort to determine whether shortstops have higher salaries than other players. the mean salary (in millions of dollars) for shortstops...
- M Mathematics Which is a factor of each term for the polynomial (3d to the 3rd power - 10d) a.2d b.3d c.3 d.d...
- M Mathematics Apair of fair dice is cast. what is the probabiliy that one of the numbers falling uppermost is a 5...
- M Mathematics Joe has a rectangular chicken coop. the length of the coop is 4 feet less than twice the width. the area of the chicken coop is 510 square feet. what is the length of the chicken...
- M Mathematics Which rule yields the dilation of the figure stuv centered at the origin?...
- M Mathematics a kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second write an equation that gives the height (in feet) of the football as a...
- M Mathematics Which of the following are necessary when proving that the diagonals of a rectangle are congruent? check all that apply. a. opposite sides are perpendicular. b. corresponding...
- M Mathematics If the point (3,8) and (9,8) are on a given line, find the slope of this line. a) the slope is 0 b)the slope is 6 c)the slope is 1/6 d)the slope is undefined...
Ответ:
Complete question :
In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 4.5 and a standard deviation of 2.3. Answer parts (a)-(d) below.
(a) Find the probability that a randomly selected study participant's response was less than 4.
(b) Find the probability that a randomly selected study participant's response was between 4 and 6.
(c) Find the probability that a randomly selected study participant's response was more than 8.
1.) 0.4141
2.) 0.3288
3.) 0.0253
Step-by-step explanation:
Given a normal distribution :
Mean(m) = 4.5
Standard deviation (σ) = 2.3
A.) x < 4
Using :
Zscore = (4 - 4.5) / 2.3
Zscore = - 0.5 / 2.3
Zscore = - 0.2173913
P(Z < - 0.217) = 0.4141
B.) x between 4 and 6
From the above :
For x < 4;
P(Z < - 0.217) = 0.4141
For x < 6 ;
Using :
Zscore = (6 - 4.5) / 2.3
Zscore = 1.5 / 2.3
Zscore = 0.65217
P(Z < 0.65217) = 0.74285
0.74285 - 0.4141 = 0.3288
C.) X > 8
Using :
Zscore = (8 - 4.5) / 2.3
Zscore = 4.5 / 2.3
Zscore = 1.9565217
P(Z > 1.9565217 ) = 1 -P(Z < 1.9565217 )
P(Z < 1.9565217 ) = 0.9747
P(Z > 1.9565217 ) = 1 - 0.9747
= 0.0253