DSAT extra practice Ch6 Lv1

There are 30 students in class A, 30% of them have hemorrhoids; there are 40 students in class B, 25% of them have hemorrhoids. Randomly select a student from these classes, what is the probability that the student has hemorrhoids?

In a group of students, 30% practice Kung Fu, 45% practice mixed martial arts (MMA), and 12% practice both. If a student is selected at random from this group, what is the probability that the student practices neither Kung Fu nor MMA?

Roll a die twice, what is the probability that the summation of the numbers is 11?

The table above shows the distribution of blood types and gender of 65 students in Grace’s mathematics class. Select a student randomly, what is the probability that the student is a girl and her blood type is O or AB?

The Happy Pharma Company has 800 employees. The table shows the number of employees and their highest degree in each department. If one employee is randomly selected from the R\&D department, what is the probability that the selected employee holds a master’s degree?

There are fifty cards labeled 1-50 in a deck. A boy drew a card first, and then a girl drew a card. If the boy gets 12, what is the probability that the number the girl got is larger than the number the boy got?

Anna sent three mooncake gift boxes to Franky. The table showed the quantities of mooncakes of various flavors in each box. Franky ate a mooncake randomly, given that the flavor of the mooncake he ate is pork floss, what is the probability that that mooncake was from box A?

Josh and Lindsey are playing Chinese chess, the probability that Josh wins is 0.5. If they play best of three, what is the probability that Josh is the winner given that they played three matches?

The table above shows the customers’ feedback of a restaurant. A chef randomly selected a customer. Given that his/her feed back is “disaster”, what is the probability that the customer had duck breast?

The table above presents the traffic offense statistics for the two main streets in Happy City over the past year. A journalist randomly interviews a citizen who committed an offense last year. Given that the citizen was caught on Happy Street, what is the probability that he is a street racer?

A restaurant manager ordered 60 bags of sushi rice from supplier A and 80 bags from supplier B. Based on past experience, there is a 15% probability that the sushi rice supplied by supplier A is expired, while for supplier B, it is 20%. The manager randomly inspects one bag. Given that the bag is expired, what is the probability that this bag is from supplier A?

The bar graph above depicts the number of tornadoes in the United States over the past 8 years. Assuming an average of 1,250 tornadoes form each year in the United States, how many years in the past 8 years have had tornado counts exceeding the average?

The chart above depicts the global user count of TikTok over time. In which of the following intervals is the variation in user count the biggest?

A student’s mother wants to enroll her child in Learmazing’s HPC class, so she randomly interviews some students for feedback and compiles the results into the pie chart above. If a total of 300 students have taken Learmazing’s math classes since its inception and the sample is unbiased, approximately how many students think the math teacher at Learmazing is very strict?

Franky plans to roast a German pork knuckle. He has several pots made of different materials at home. The image above shows the maximum temperature each material can withstand. To achieve crispy pork knuckle, the oven temperature must be set to [math]350^\circ C[/math]. How many types of materials can be used?

A chemistry teacher assigned 10 physics questions for students to practice. If this teacher wants to compare the accuracy of each question, which type of statistical diagram should he use?

The line graph above shows the number of 3 major crimes in New York from 2019 to 2023. Which of the following statements is false?

During WWII, in order to break through the Maginot Line, the German forces developed the famous Gustav railway gun. To test the destructive power of this cannon, the Germans conducted live-fire tests. Below are the thicknesses of reinforced concrete successfully penetrated by the cannon (unit: meters). $$6.8\quad,\quad7.3\quad,\quad6.6\quad,\quad7.5\quad,\quad7.1\quad,\quad6.7$$What is the average thickness, in meters, of reinforced concrete that this renowned cannon can penetrate?

The figure above shows the dot plots of two data sets, A and B. Which of the following statements is not true?

Due to overpopulation of wild hogs in California, the governor enlisted the help of 101 hunters to hunt wild hogs. Jonathan hunted 37 wild hogs, which happened to be the median. How many of the 101 hunters hunted more wild hogs than Jonathan?

Which of the following data sets has the largest standard deviation?

A crocodile farmer has 2,500 crocodiles in his farm, out of which 2,000 are adults. The owner wants to estimate the average weight of his adult crocodiles, so he randomly selects 5 adult crocodiles and weighs them. The margin of error is known to be 25 kilograms. If the owner wants to minimize the margin of error as much as possible, which of the following quantities can achieve the lowest margin of error?

The manager of Happy Bathing Company developed a new shampoo. A year later, he asked employees to estimate the company’s market share for the product. One of the employees randomly surveyed 1,300 people, among whom only 0.7% used the company’s shampoo. Due to the low market share, the manager wishes to increase the margin of error to impress to the board. Which of the following methods can address the manager’s issue?

A well-dressed politician wishes to run for mayor. He wants to gauge public opinion, so he randomly surveyed some citizens. The result shows that 84% of individuals believe he is corrupt and will not vote for him, with a margin of error of 5%. If there are 800,000 eligible voters in the upcoming election and the sample is fair, at least how many people, in thousands, will not vote for this well-dressed politician?

A scientific team wants to estimate the radiation in a contaminated lake. They randomly selected several locations in the lake for measurement. The average radiation is 120 millisieverts (mSv), with a margin of error of 26. Which of the following values is most likely the true radiation in this lake?

The figure above shows the number of police officers and the number of robbery cases per day of 30 districts in Happy City. Which of the following statements best expresses the relationship between the number of police officers and the number of robbery cases?

The figure above shows a scatter plot of the scores of 50 students applying with the SAT at Happy High School. If the basic requirements for applying to Fortune University are an SAT English score of 600 or above and a SAT Math score of 500 or above, how many of these students meet the basic requirements?

An experienced Taiwanese chef moved to the United States to run a pork ribs medicinal herbs soup restaurant. Since it is too hot for soup during summer, he wants to assess whether he should close the restaurant whenever the temperature is too high. Therefore, he records the temperature and sales each Sunday and plots them into the scatter plot above. Which of the following statements is correct?

Which of the following scenarios is not suitable for using scatterplots?

Which of the following scatterplots shows an exponential decayed correlation?

Kvass is a traditional Russian fermented beverage. If fermentation for long enough, a small amount of alcohol will be produced. A restaurant plans to sell kvass. The manager wants to know the relationship between fermentation time and alcohol content, so he made 24 bottles of kvass (with controlled fermentation times) and recorded the alcohol content. The scatter plot above and the regression line are the results of the study. How many of these 24 bottles of kvass have an actual alcohol content higher than the predicted alcohol content?

A biology research team wanted to understand the relationship between the age [math]x[/math] (in months) and the weight [math]y[/math] (in kilograms) of emperor penguins. They went to Antarctica and randomly selected 45 adorable emperor penguins to weigh and estimate their ages. The regression line based on their observations is [math]y =0.3+0.825x[/math]. What does the 0.3 in the regression line represent?

A farmer plans to sell chicken essence. To understand the relationship between the weight of a chicken and the amount of chicken essence extracted, the farmer randomly selected 30 chickens, weighed them, and then extracted chicken essence from them. The scatter plot above and the regression line represent the observation results. Today, an investor visited the farmer. The farmer decided to extract chicken essence from an old, cynical hen for the investor. If this cynical hen weighs 2.8 kilograms, how much chicken essence, in milliliter, can be extracted? Round to the nearest integer.

An educator is researching whether the number of hours of sleep per day, [math]t[/math] (in hours), is related to GPA, [math]y[/math]. She randomly surveyed 120 students and derived the regression line equation [math]y =0.45t+0.05[/math]. Which of the following students’ GPA cannot be predicted by this line?