MA 260 MA260 STATISTICAL ANALYSIS I EXAM 5 ANSWERS (2021) - ASHWORTH
Ashworth MA260 Statistical Analysis I Exam 5 Answers (2021)
1. A survey asked 33,625 homeowners how many pets they owned. The results were as follows:
2. If P(A) = 0.33, find P(AC).
3. In a recent semester at a local university, 540 students enrolled in both General Chemistry and Calculus I. Of these students, 51 received an A in general chemistry, 59 received an A in calculus, and 30 received an A in both general chemistry and calculus.
4. A section of an exam contains two multiple-choice questions, each with three answer choices (listed "A", "B", and "C"). Assuming the outcomes to be equally likely, find the probability (as a reduced fraction) that at least one answer is "A". [Hint: List all the outcomes of the sample space first.]
5. There are 25 students in a sixth-grade class. On a cold winter day in February, many of the students had runny noses and sore throats. After examining each student, the school nurse constructed the following table:
6. So far this season, the university's football team has executed 146 running plays, 167 passing plays, and 22 "trick" plays. What is the probability that the team will execute a passing play?
7. A survey asked 31,156 homeowners how many pets they owned. The results were as follows:
8. The probability that a certain make of car will need repairs in the first six months is 0.4. A dealer sells seven such cars. What is the probability that at least one of them will require repairs in the first six months?
9. A geneticist is studying two genes. Each gene can be either dominant or recessive. A sample of 100 individuals is categorized as follows.
10. Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked.
11. A survey asked respondents to indicate their level of satisfaction with government spending.
12. A poll was taken of 14,360 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results were as follows.
13. A committee consists of 10 women and 7 men. Three members are chosen as officers. What is the probability that all three officers are women?
14. Assume a soldier is selected at random from the Army. Determine whether the events A and are independent, mutually exclusive, or neither.
15. If P(A) = 0.43, P(B) = 0.21, and P(A or B) = 0.64, are A and B mutually exclusive?
16. For the event described below, which of the following represents the complement of the event?
17. If P(A) = 0.69, P(B) = 0.4, and P(A or B) = 0.73, are A and B mutually exclusive?
18. What is the correct relationship between events A and B?
19. There are 25 students in a sixth-grade class. On a cold winter day in February, many of the students had runny noses and sore throats. After examining each student, the school nurse constructed the following table:
20. Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked.
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