Answer:
Pop. variance=16
Pop. Stand. deviation =4
Explanation:
x x^2
8 64
11 121
15 225
17 289
19 361
70 1060
Mean 14 (70/5)
Pop.Variance 16.00 (1060/5 - (14^2)
Pop.Standard Dev. 4 (square root of 16)
QUESTION 1- Two balanced 4 sided-dice, each with faces labeled by 1, 2, 3 and4. if Ali plays a game where he tosses two balanced 4 sided-dice He wins 3 points if the sum is 6. He wins 2 points if the sum is greater than 6. He loses 1 point if the sum is less than 6. Find the probability distribution sum. 2- A dice is loaded in such away that each odd number is twice as likely to occur as each even number. find P(G) , where G is the event that a number greater than 3 occurs on a single roll of dice.
Answer:
Kindly check explanation
Explanation:
Given that:
Two Four-sided dice numbered : 1, 2, 3, 4
Sample space = 4² = 16
3 points wonif sum = 6
2 points won If sum > 6
1 point lost if sum < 6
____SAMPLE SPACE____
___ 1 _____ 2 ____3 ___4
1 __2_____3_____4____5
2__3_____4_____5____6
3__4_____5_____6____7
4__5_____6_____7____8
Probability = (number of required outcomes / total possible outcomes)
P(6) = 3 / 16 = 0.1875
P(>6) = 3 / 16 = 0.1875
P(<6) = 10 / 16 = 0.625
X__________3_________2________ - 1____
P(X)______0.1875_____0.1875_____0.625__
XP(X)____0.5625______0.375____ - 0.625__
Sum of the distribution :
0.1875 + 0.1875 + 0.625 = 1
Σ XP(X) = (0.5625 + 0.375 + (-0.625))
Σ XP(X) = 0.5625 + 0.375 - 0.625
Σ XP(X) = 0.3125
2.) A dice is loaded in such away that each odd number is twice as likely to occur as each even number. find P(G) , where G is the event that a number greater than 3 occurs on a single roll of dice.
Since each odd number is twice as likely to occur as each even number
Odd numbers on a dice = 1, 3, 5
Hence, sample space = {1, 1, 2, 3, 3, 4, 5, 5, 6}
find P(G) , where G is the event that a number greater than 3 occurs on a single roll of dice.
Required outcomes = numbers greater than 3 =(4, 5, 5, 6)
P(G) = (number of required outcome / Total possible outcomes)
P(G) = 4 / 9
A small company that prints custom t-shirts has 6 employees, one of whom is the owner and
manager. Suppose the owner makes $120,000 per year and the other employees make
between $40,000 and $50,000 per year. One day, the owner decides to give himself a
$30,000 raise. Which of the following describes how the company's mean and median
salaries would change?
(a) The mean and median would both increase by $5,000.
(b) The mean would increase by $5,000 and the median would not change
(c) The mean would increase by S6,000 and the median would not change
(d) The median would increase by $6,000 and the mean would not change.
(e) The mean would increase by $6,000, but we cannot determine the change in the median
without more information
Answer: (b) The mean would increase by $5,000 and the median would not change
Explanation: my teach went over it with me ion know to explain it doe i’m in stats but i just sit there.... sorry
The company's mean and median salaries would change, as the mean would increase by $5,000 and the median would not change. The correct option is (b.)
What is the mean and median?
A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When data collection is ranked from least to greatest, the median is the midpoint.
The number that appears most frequently in a data set is called the mode. In an ordered data set, the median is the value in the middle. The mean is calculated by dividing the sum of all values by the total number of values.
The changed mean = Mean + ($30000/6) = Mean + $5,000
The owner's income is the highest among all 6 employees, Hence the Median would be the same after raising $30,000 for the owner.
Therefore, the correct option is (b) The mean would increase by $5,000 and the median would not change.
To learn more about the mean, refer to the link:
https://brainly.com/question/28670966
#SPJ2
A survey of radio stations was conducted following the attacks on the World Trade Center in 2001. One of the variables
recorded was the region the station was located in (east, center, or west). The variable "region" is
Answer:
h
Explanation:
h
x² – 5x +3=0
5x + y = 39
Which of the following is the x-value of a solution
to the system of equations above?
A) 6
B) 12
C) 18
D) 36
Suppose during 2020 due to relief in Taxation Marginal Propensity to Consume (MPC) will increase from 0.65 to 0.75 then calculate Tax multiplier (KT).
Answer:
Tax multiplier = 3
Explanation:
Given:
Current MPC = 0.75
Find:
Tax multiplier
Computation:
Tax multiplier = MPC / [1 - MPC]
Tax multiplier = 0.75 / [1 - 0.75]
Tax multiplier = 0.75 / 0.25
Tax multiplier = 3
A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle.
Which equation gives the measure of the central angle, a?
o
Om7+5
O 0.75
Answer:
1.4 radians
Explanation:
7 = a/360 * 2(pi)(5)
a is approximately 80.21 degrees.
80.21(pi)/180 is approximately 1.4 radians
2. In an experiment, a fixed amount of fertilizer was applied to each of 10 plots, and
the corresponding yield in pounds of corn was measured. Identify the independent
and dependent variables in this experiment.
Answer:
Explanation:
Given
x amount of Fertilizers
Plots of land = 10
y yield of corn
Required
Determine the dependent and independent variables
In statistics,'
The independent variable are those variables whose values are independent of other variables;
In other words, they are not influenced by other variables to get their own values.
In this case, the amount of fertilizer applied to the farm land is the independent variable
The dependent variable are those variables whose values are influenced by other variables;
In other words, they rely on other variables to get their own values.
In this case, the yield of the crop is the dependent variable because it depends on the amount of fertilizer to get its own value
If 5 students in a class of 20 will be
chosen to present a speech, how many
speech arrangements are there?
Answer:
There are 1860480 speech arrangements
Explanation:
There are 5 spots for 5 students to present a speech. So 5 of the 20 students will need to fill the spaces. Think of it like a table with 5 positions to be filled. ▢▢▢▢▢
Assuming no student can present more than once, we start off with 20 possible students to present first, 19 to present second, and so on until 5 students have presented. Following this method:
20 x 19 x 18 x 17 x 16
This is known as a Permutation (the nPr function on your calculator)
The formula for permutations are n!/(n-r)!
n being the number available and r is the number of positions.
Plugging our values in, we get:
20!/(20-5)!
= 20!/15!
= 20 x 19 x 18 x 17 x 16 x 15!/ 15! ~ 15! can be crossed leaving
= 20 x 19 x 18 x 17 x 16 = 1860480
3 Very little in the way of progress came from the Seneca Falls Declaration, although it would serve
for the next seventy years as the goal for which the suffrage movement strove. Women's suffrage
and nearly all of the other reforms of this era were swallowed up by the single issue of slavery and
its abolition, and women did not receive the right to vote until the adoption of the Nineteenth
Amendment to the Constitution in 1920.
According to the passage, what is the relationship between the movement for women's rights
and the abolition of slavery?
Only a few women became involved with both of these concerns because they were too committed to their
housework.
The movement for women's rights received less attention at the time because many people were more
interested and involved in the slavery issue.
The abolition of slavery became more important to most of the women than the issue of their rights.
Women were not allowed to attend any meetings where the issue of slavery was to be discussed.
The correct answer is B. The movement for women's rights received less attention at the time because many people were more interested and involved in the slavery issue.
Explanation:
The passage explains the issue of slavery and the struggle for abolition prevailed over women's movement and any other movement of the time. This is stated in "Women's suffrage ... were swallowed up by the single issue of slavery and its abolition." Moreover, the author explains due to the importance of the abolition over women's suffrage, abolition occurred before women were given the right to vote. In this context, abolitIon and women's right are related because women's right received less attention during the time as the focus was on abolition (option B.)