Mutually exclusive events and probabilities

Reference no: EM13117997

Mutually Exclusive events, Probabilities, and Binomial Distribution
1. Are the events mutually exclusive (Yes or No)?
Event A: Randomly select a person between 18 and 24 years old.
Event B: Randomly select a person that drives a convertible.

2. Decide if the events are mutually exclusive.
Event A: Randomly select a person who uses email.
Event B: Randomly select a person that uses social networking.

Use the table below to answer questions 3-7. The table below shows the number of male and female students enrolled in nursing at a university for a recent semester. Find the specified probability.

Nursing Majors
Nursing Majors Non-Nursing Majors Total
Males 203 1305 1508
Females 841 1498 2339
Total 1044 2803 3847

3. The student is male or a non-nursing major.

4. The student is female or a nursing major.

5. A student is not male or a nursing major.

6. The student is male or a nursing major.

7. Are the events "being male" and "being a nursing major" mutually exclusive?

8. Perform the indicated calculation. 24P5

9. In order to conduct an experiment, 9 subjects are randomly selected from a group of 25 subjects. How many different groups of nine subjects are possible?

Use the information below to answer questions 10 - 11. A combination lock has 5 programmable digits. The first digit may be set to whole number values from 1 to 5. The last four digits may be set to whole number values
from 0-9.

10. How many lock combinations are possible if there are no restrictions?

11. What is the probability of selecting a combination code at random that ends with an odd
number?

12. Determine if the random variable x is discrete or continuous. Explain the reason for
your answer. x is the time required for workers at a factory to complete a task.

Use the frequency distribution below to answer questions 13-17. The number of school-related extracurricular activities per student.
Extracurricular Activities
Activities 0 1 2 3 4 5 6 7
Students 24 33 46 57 63 36 20 14

13. Use the frequency distribution to construct a probability distribution.

14. What is the mean of the probability distribution?

15. What is the variance of the probability distribution?

16. What is the standard deviation of the probability distribution?

17. Interpret the results in the context of the real-life situation

18. A state lottery randomly chooses 6 balls numbered 1 from 1 to 40. You choose 6
numbers and purchase a lottery ticket. The random variable represents the number of matches
on your ticket to the numbers drawn in the lottery. Is this experiment a binomial experiment? Explain your answer.

Use the characteristics of the binomial distribution given below to answer questions 19-21. Suppose there is a binomial distribution with: n = 63 and p = 0:38.

19. What is the mean of the binomial distribution?

20. What is the variance of the binomial distribution?

21. What is the standard deviation of the binomial distribution?

Use the characteristics of the binomial experiment below to answer questions 22-24. Travel Plans Seventeen percent of married couples say they are planning a trip to Europe. You randomly select 15 married couples and ask each if they are planning to travel to Europe.

22. What is the probability that exactly 1 couple says they plan to travel to Europe?

23. What is the probability that more than 1 couple say they plan to travel to Europe?

24. What is the probability that at most 2 couples say they plan to travel to Europe?

Reference no: EM13117997

Questions Cloud

State null-alternative hypotheses-testing recipe for low fat : You want to show an increase in buying and selling of single-family homes this year when compared with last year's rate.

Find possibility of selecting an executive committee : Possibility of selecting an executive committee, A city council with nine members must elect a 4 person executive committee consisting of a mayor

How will this impact the organizations diversity training : Discuss how this will impact the organizations diversity training - what will need to change? Provide specific elements of how you will handle the concerns of current employees, over this new direction the leadership is taking.

Why scientific method is used in medicine : Why scientific method is used in medicine? What characteristic or property of experimental design is the most crucial for medical research?

Mutually exclusive events and probabilities : Mutually Exclusive events, Probabilities, and Binomial Distribution. Use the frequency distribution below to answer questions 13-17. The number of school-related extracurricular activities per student.

Write a balanced equation : At 900 titanium tetrachloride vapor reacts with molten magnesium metal to form solid titanium metal and molten magnesium chloride. Write a balanced equation.

What would be the order of elution : Phenyl-Sepharose resin consiss of a phenyl group attached to a matrix of agarose. Suppose you need to use this chromatographic method to separate a mixture of polypeptides consisting of polyalanine, polyserine, polytryptophan and polylysine.

Compute mean for probability distribution of breakdowns : Puret grinder has required repair service according to the following distribution. Compute the mean, for the following probability distribution of the number of breakdowns per week.

What is the pressure (in torr) : A sample of gas has a volume of 1.55 L at 35 °C and 1.05 atm. What is the pressure (in torr) if the volume changes to 1.38 L and temperature to -28 °C.

User Account

All Pages