Stat 200 Week 6 Quiz 2-Mary was throwing a six-sided die

Stat 200 Week 6 Quiz 2: 100 pts total (16.7 pts per question)

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Dr. Valenzuela

1. Mary was throwing a six-sided die. The first time she threw, she got a one; the second time she threw, she got a two. What’s the probability of getting a three at the third time?

2. Imagine a class with 40 students. The teacher had only ten free tickets

for the Art Museum for this class. Therefore, the teacher decided to

use a lottery to decide who would receive the free tickets. Alex and

Lily wanted to go to the concert together. What’s the probability that

both of them win the free tickets?

3. Consider a normal distribution with a mean of 10 and standard deviation

of 25. What is the Z score for the value of 35?

4. For a normal distribution with a mean of 16 and standard deviation of

2, what’s the probability of getting a number greater than 20?

5. Two hundred students took a standard chemistry test. You sampled 20

students to estimate the average score and the standard deviation. How

many degrees of freedom were there in the estimation of the standard

deviation?

a. 21

b. 20

*c. 19

d. 40

6. Imagine a researcher wanted to know the average years of education of

the adult population in a certain community. He randomly sampled nine

adults and obtained the mean years of education was 7 and the standard

error of the mean was 3. What’s the lower limit for the 95% of the

confidence interval of the mean?