In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded. a) Compute the standard error of the proportion. b) What is the probability that the sample contains at least 12 business majors
Answers
Answer:
a. 0.04
b. 0.9772
Step-by-step explanation:
Please check attachment for complete solution and step by step explanation
Final answer:
The standard error of the proportion is 0.04. The probability of having at least 12 business students in a sample of 100 can be found by using the binomial distribution formula, though precise calculation would require the use of statistical software.
Explanation:
In a large university, 20% of students are business majors. The question is asking about the standard error and the probability of having at least 12 business students in a random sample of 100 students.
a) The standard error (SE) of the proportion is calculated as the square root of [p(1-p)/n], where 'p' is the proportion of business majors (0.2 in this case)and 'n' is the sample size (100 in this case). So, the SE = sqrt[(0.2)(0.8)/100] = sqrt[0.0016] = 0.04.
b) In order to calculate the probability that there are at least 12 business students, we would use the binomial distribution. Using the binomial distribution formula P(X >= x) = 1 - P(X < x), where 'X' is a random variable representing the number of business majors, and 'x' is 12. Since the calculation is tedious, one would use statistical software or a calculator to find this probability. Typically, the result would be greater than 0.
Learn more about Probability and Standard Error here:
#SPJ11
Related Questions
What is the answer to a
9s − 5 s = 8 knnnkjbkbbhjhghuj
Mrs Perry shares out 21 biscuits betweenGemma and Zak in the ratio 1 : 6How many biscuits does each child get?biscuits.Gemma getsbiscuits and Zak gets
Will mark brainliest, 60 points
A. Equator of symmetry
B. Point of symmetry
C. Line of symmetry
D. Symmetrical half life
Answers
The design that every point on one side of the line coincides with a point on the other side of it is Line of symmetry
What is Symmetry?
Symmetry in mathematics means that when one shape is moved, rotated, or flipped, it looks exactly like the other shape.
A circle or band that divides a body's surface into two typically equal and symmetrical portions.
When a shape or item has a centralpoint, point symmetry occurs when all points on the opposing sides are at the same distance from the centre.
The term "line of symmetry" refers to the fictitious axis or line that can be used to fold a figure into symmetricalhalves.
It denotes that one half is the other half's mirror image.
Thus, the required design is Line of Symmetry.
Learn more about Symmetry here:
#SPJ5
Answers
Answer: g(x) = (x + 1)² + 3
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- "a" is the vertical stretch
- -a is a reflection over the x-axis
- h is the horizontal shift (positive = right, negative = left)
- k is the vertical shift (positive = up, negative = down)
f(x) = x²
Given: 3 units up --> k = 3
1 unit left --> h = -1
g(x) = (x + 1)² + 3
The translation of the graph of a function is one where the graph is moved to a different location on the plane that does not include a change in shape or rotation
The resulting function from the translation of the function f(x) = x², 3 units up and 1 unit left, g(x) = x² + 2·x + 4
The process by which the above value for g(x) is found is presented as follows:
The given function f(x) = x²
The vertical translation given to the function = 3 units up
The horizontal translation given to the function = 1 unit left
The required parameter;
To find the resulting function g(x) that has results from the given translations
Solution:
A translation of a function y = f(x) vertically,k units upwards is the function y = f(x) + k
A translation of a function y = f(x) horizontally, k, units left, is the function y = f(x + k)
Therefore, we get
g(x) = f(x + 1) + 3 = (x + 1)² + 3 = x² + 2·x + 4
g(x) = x² + 2·x + 4
Learn more about translation of functions here:
Answers
Answer:
d
Step-by-step explanation:
Answers
so
Answers
Answer:
whats the whole question
Step-by-step explanation:
except the last. How many times was the ride
completely filled?
Answers
Answer:
7
Step-by-step explanation:
Final answer:
Given that a ride can hold 30 people at once, and that 220 people in total went on the ride, one minus the total number of people (to account for the last ride not being completely filled) divided by the total ride capacity gives us 7.3. This means the ride was completely filled 7 times.
Explanation:
To find out how many times the carnival ride was completely filled, we will divide the total number of people who went on the ride, by the maximum number of people the ride can hold at a time. However, we know that the last ride was not completely full, meaning there was at least one less person on the ride than it can hold, so we need to subtract 1 from the total number of people before proceeding.
So, we have: (220 people - 1) ÷ 30 people = 7.3. Since a ride can't be partially filled (i.e. 0.3 of a ride), we know that the ride was filled completely 7 times, and the remaining 0.3 represent the last, not completely filled ride.
Learn more about Division in Word Problems here:
#SPJ2