📊 statistics

1. The problem asks for the probability of exactly 1 success in a binomial distribution with $n=6$ trials and probability of success $p=0.80$. 2. The binomial probability formula i

1. **State the problem:** We are given a mean platelet count of $255.1$ and a standard deviation of $65.2$. We want to use Chebyshev's theorem to find the minimum percentage of wom

1. The problem asks us to interpret a box plot representing classroom attendance last month. 2. A box plot shows the distribution of data using five key points: minimum, first quar

1. The problem is to construct a stem-and-leaf plot from the given data sets. 2. A stem-and-leaf plot organizes data by place value: the "stem" represents the leading digit(s), and

1. The problem involves interpreting a frequency distribution table for fish lengths. 2. The table shows intervals of fish lengths $l$ in centimetres and the number of fish in each

1. **State the problem:** We need to find the range, variance, and standard deviation of the starting salaries for 7 states: Washington (30974), Wisconsin (25222), Colorado (35086)

1. **State the problem:** We need to find what percent of students take the bus to school given the total votes and the number of votes for the bus. 2. **Formula:** The percentage

1. **State the problem:** Find the probability that a randomly chosen person scored between 100 and 120 on a test where scores are normally distributed with mean $\mu=117$ and stan

1. The problem is to place the speeds of 9 cars on a number line. 2. The speeds given are: $\{62, 77, 80, 54, 65, 67, 58, 63, 70\}$.

1. The problem asks for the number of respondents who were not Democrats and did not think he was doing better. 2. To solve this, we need to understand the categories: "not Democra

1. **State the problem:** We are given a histogram showing the frequency density of Roman coins by mass intervals. We know that 126 coins weigh between 8 g and 17 g, and we need to

1. **State the problem:** We have 56 students surveyed about owning bicycles and scooters. Given: 48 have bicycles, 26 have scooters, and 5 have neither. 2. **Construct the two-way

1. **State the problem:** Calculate the following from the third table about undergraduate university students:

1. **State the problem:** Find the 34th percentile, $P_{34}$, from the given data set. 2. **List the data:** The data set has 38 values:

1. **State the problem:** We need to create a linear model to predict reaction time (REACT, $y$) from age (AGE, $x$) and find the slope of this model. 2. **Formula for linear regre

1. **State the problem:** We need to find the 90th percentile value from the given frequency distribution table. 2. **Understand the table:** The table shows cumulative percentages

1. **Stating the problem:** We are given a frequency distribution table with cumulative percentages (percentile ranks) for intervals of $x$ values. We want to find the 90th percent

1. **Problem Statement:** Find the percentile rank for $X=18$ using interpolation from the given frequency distribution table. 2. **Given Data:**

1. **State the problem:** We want to find how many more students need to be surveyed to achieve a margin of error (ME) of 4% when the proportion of students who traveled abroad is

1. **State the problem:** We want to find how many more students need to be surveyed to achieve a margin of error (ME) of 4% when the proportion of students who traveled abroad is

1. **State the problem:** We are given a sample data set and need to calculate the mean $\bar{x}$ and standard deviation $s$. 2. **Recall formulas:**