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Recent questions in High school statistics

A man has 20 skirts, 7 pairs of pants and 4 pairs of shoes. How many different outfits, consisting of one skirt, one pair of pants and one pair of shoes are possible?

albusgks 2022-05-02

Can anyone help me with statistics?
Question: Following is the distribution of marks obtained by 500 candidates in the statistics paper of a civil services examination:
+ marks more than: 0 10 20 30 40 50
+ number of candidates: 500 460 400 200 100 30
Calculate the lower quartile marks. If $70 %$ of the candidates pass in the paper, find the minimum marks obtained by a passing candidate.
In the above problem, I am able to find the first part to calculate lower quartile marks but not able to find the second section.
Anyone, please help I am a newbie to statistics.
Thanks in advance, please ignore the bad English.

iyiswad9k 2022-05-02

Probability and Statistics (Quartiles)
Q: Find the upper and lower quartiles of the random variable.
$f (x) = \frac{1}{x \ln (1.5)}$
for $4 \leq x \leq 6$
I set $F (x) = 0.25$ and $F (x) = 0.75$ to denote $Q 1$ and $Q 3$
This is what I got for the answers:
For
$F (X) = 0.25, x = 9.86$
For
$F (X) = 0.75, x = 3.28$
However, these answers are wrong as compared with my textbook. It should be:
For
$F (X) = 0.25, x = 4.43$
For
$F (X) = 0.75, x = 5.42$
Please help me. I don't know what I'm doing wrong.

Assume that when adults with smartphones are randomly selected,
54%
use them in meetings or classes. If
5
adult smartphone users are randomly selected, find the probability that exactly
3
of them use their smartphones in meetings or classes.

You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
From a random sample of 69 dates, the mean record high daily temperature in a certain city has a mean of 86.78°F. Assume the population standard deviation is
14.80°F.

The 90% confidence interval is

The 95% confidence interval is

B. Given the population 1, 2, 3, 4, 6, and 8. Suppose sample size of 3 are drawn from this
population.
4. What is the mean ( 𝜇 ) and the variance ( 𝜎
2
) of the population?
5. How many different sample size n = 3 can be drawn from this population? List them with
their corresponding means.
6. What is the mean ( 𝜇X̅ ) and the variance ( 𝜎
2
X̅ ) of the sampling distribution of the sample
mean?

An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 239 of these passed the probe. Assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe. (Round your answers to three decimal places.)

Grecemydelina 2022-04-23

A set of data consists of 150 observations. How many classes will you recommend?

mom1821403 2022-04-23

The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts (a) through (c) below. Click the icon to view the table. Table (a) The student is male or received a degree in the field The probability is Degrees Outside of Field (Type an integer or a decimal. Round to three decimal places as needed.) Total Degrees in Field Males 190,012 618,286 808,298 172,727 892,037 1,064,764 Females Total 362,739 1,510,323 1,873,062

A binomial probability experiment is conducted with the given parameter. Complete the probability of x successes in the n independent trials of the experiment. N=11, p=0.5, x=<4

mondidomarilyn31 2022-04-19

s= 2.36 n= 350 confidence level 99%

rachelle dabu2022-04-12

THE AVERAGE SENIOR HIGH SCHOOL IN QUEZON CITY HAS 1000 STUDENT WITH A STANDARD DEVIATION OF 85 STUDENT.IF A RANDOM SAMPLE OF 38 SCHOOLS IS SELECTED.WHAT IS A PROBABILITY THAT THE MEAN NUMBER OF STUDENTS ENROLLED IS BETWEEN 970 TO 1020?

ka073104 2022-04-11

A simple random sample of n measurements from a population is a subset of the population selected in a manner such that which of the following is/are true?

Azzalictpdv 2022-04-06

Let $f (x) = x^{2} + x - 6$ .
a. Write down the $y$ -intercept of the graph of $f$ .
how do we figure this out? I know $f (x)$ means $y$ , so do we use the quadratic formula? $x^{2} + x - 6$ .
b. Solve $f (x) = 0$ .
We plug $0$ into the $x$ ’s in the original formula, right?

Eve Dunn 2022-04-06

$μ = m = \frac{q_{1} + q_{3}}{2}$
Let $X$ be a random variable with p.m.f./p.d.f. $f_{X} (x)$ that is symmetric about $μ (\in R),$ i.e., $f_{X} (x + μ) = f_{X} (μ - x)$ , $\forall x \in (- \infty, \infty) .$
If $q_{1}, m$ and $q_{3}$ are respectively the lower quartile, the median and the upper quartile of the distribution of $X$ then show that $μ = m = \frac{q_{1} + q_{3}}{2}$
How to prove.....
any Hints.

Peia6tvsr 2022-04-06

What is the meaning of percentile?
I am confused by the term percentile. Once my teacher told me that percentile means the percentage with respect to the score of the highest achiever.
This means that if in a competition I got $80$ out of $100$ and the highest score in that competition was 90 out of 100 then my percentile would be $\frac{80}{90} * 100 = 88.89$
So I got $80 %$ and $88.89$ percentile.
I was believing that my above concept was right.
But when I see the definition of percentile on Wikipedia then I got something new (but I don't understand this definition) and then I thought that what my teacher told me was wrong.
Kindly tell me if my teacher right or wrong.

Jaime Coleman 2022-04-06

how to draw functions on a coordinate plane, and he mentioned something about the Y-Intercept being an important step in creating/solving a function. But, what exactly is a Y-Intercept?

txkirn2 2022-04-03

I am testing out a Binomial distributed dataset in excel.
The dataset is litterally a "RANDBETWEEN(1;2)" So it simply randomizes between the number 1 and the number 2 with 50% chance of each, on a range of 10.000 cells.
The standard deviation for 10.000 = n and a probability of success of 50% = p
I get a Std Dev of: 50

What I don't understand is why the spread of the dataset is way larger than 50. often times it is even more than 200 (as opposed to the Std Dev of 50). Actually by continually refreshing all the 10.000 cells, the spread is surprisingly often above 150, (3x standard deviations). Just about every 1/3 times I refresh the data is goes above 150 spread.
By my understanding, a bigger spread than 3x Standard Deviation should occur very rarely (0,03% of the time) every 333rd time of refreshing the data in excel. Or am I wrong here?

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