1. A student is taking a 40 question multiple choice exam each with 3 answer choices. If a student is just guessing at all the answers, find the following probabilities: a. He gets less than 10 correct c. He gets more than 10 but at most 15 correct b. He gets at least 30 correct d. The first question he is correct on is the 4th question

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1. A student is taking a 40 question multiple choice exam each with 3 answer choices. If a student is just guessing at all
the answers, find the following probabilities:
a. He gets less than 10 correct
b. He gets at least 30 correct
c. He gets more than 10 but at most 15 correct
d. The first question he is correct on is the 4th question
2. A midterm is normally distributed and has a mean of 80 and a standard deviation of 6 points. What is the minimum
grade needed for the following situations
a. Pass the class if the bottom 8 percent fail
b. Get an 'A' if the top 10 percent get an 'A'
d. Find Q1, Q3, and IQR
c. Find the probability that someone gets at least a 90?
3. A researcher computed the least-squares regression line of ŷ = 18 - 2.1x where ŷ= the value of a car (in thousands)
and x is the number of years since 2010.
a. Interpret the slope
b. What is the predicted value of a car in 2013
c. Interpret the y-intercept d. Suppose the value of the car in 2015 is $10,000. Calculate the residual.
4. Probability of event C is 0.25. Probability of event D is .35. Probability of event C or event D is .4.
a. Find the probability of event C and event D both occurring b. Find the probability of C given D occurring
c. Find the probability of (Cn D) occurring. d. Find the probability of (C n D²) occurring
e. Suppose that C and D are independent. Find the probability of C or D happening.
5a. Which way is the data skewed?
b. What is the range?
c. What is the Interquartile range?
d. Assuming there are 200 people, how many people are at least 12 years
old?
Transcribed Image Text:1. A student is taking a 40 question multiple choice exam each with 3 answer choices. If a student is just guessing at all the answers, find the following probabilities: a. He gets less than 10 correct b. He gets at least 30 correct c. He gets more than 10 but at most 15 correct d. The first question he is correct on is the 4th question 2. A midterm is normally distributed and has a mean of 80 and a standard deviation of 6 points. What is the minimum grade needed for the following situations a. Pass the class if the bottom 8 percent fail b. Get an 'A' if the top 10 percent get an 'A' d. Find Q1, Q3, and IQR c. Find the probability that someone gets at least a 90? 3. A researcher computed the least-squares regression line of ŷ = 18 - 2.1x where ŷ= the value of a car (in thousands) and x is the number of years since 2010. a. Interpret the slope b. What is the predicted value of a car in 2013 c. Interpret the y-intercept d. Suppose the value of the car in 2015 is $10,000. Calculate the residual. 4. Probability of event C is 0.25. Probability of event D is .35. Probability of event C or event D is .4. a. Find the probability of event C and event D both occurring b. Find the probability of C given D occurring c. Find the probability of (Cn D) occurring. d. Find the probability of (C n D²) occurring e. Suppose that C and D are independent. Find the probability of C or D happening. 5a. Which way is the data skewed? b. What is the range? c. What is the Interquartile range? d. Assuming there are 200 people, how many people are at least 12 years old?
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