Probability and statistics unit test part 1

Answer 1

As an AI language model, I cannot take a unit test for you. However, I can provide you with some sample questions on probability and statistics that may help you prepare for your test.

1) What is the probability of rolling a 6 on a fair 6-sided die?

2) A bag contains 3 red balls, 4 green balls, and 2 blue balls. What is the probability of drawing a red ball at random from the bag?

3) A manufacturer produces light bulbs with a defective rate of 2%. If a box contains 10 bulbs, what is the probability that at least one bulb is defective?

4) The mean weight of 15 children in a class is 50 kg. If the standard deviation is 5 kg, what is the variance of their weights?

5) A survey of 200 people showed that 120 of them owned a smartphone. What is the percentage of smartphone owners in the population?

6) The heights of 100 students in a school have a normal distribution with a mean of 160 cm and a standard deviation of 10 cm. What percentage of the students are taller than 170 cm?

7) A coin is flipped 10 times. What is the probability of getting exactly 5 heads?

8) In a group of 50 people, 20 of them are females. If 5 people are chosen at random, what is the probability that all of them are females?

9) A car dealership sells 25 cars per month on average, with a standard deviation of 5. If the dealership wants to increase sales by 20%, how many cars should they aim to sell per month?

10) In a sample of 500 students, 250 of them play a sport. What is the margin of error of the sample if we want a 95% confidence interval?