Question

Example:5 Following table shows a random sample of 100 hikers and the areas of hiking they...

Example:5

Following table shows a random sample of 100 hikers and the areas of hiking they prefer.

Sex       The Coastline      Near Lakes and Streams      On Mountain Peaks        Total

Female   18                                    16                                           11                                45

Male       16                                    25                                           14                                55

Total       34                                    41                                           25                               100

a. Are the events "being female" and "preferring the coastline" independent events?

Let F = being female and let C = preferring the coastline.

1. Find P(FC) =………………..

2. Find P(F)P(C)=……………………

Are these two numbers the same? If they are, then F and C are independent. If they are not, then F and C are not independent.

b. Find the probability that a person is male given that the person prefers hiking near lakes and streams. Let M =being male, and let L = prefers hiking near lakes and streams.

  1. What word tells you this is a conditional?

      2. Fill in the blanks and calculate the probability: P(___ | ___) = ___.

      3. Is the sample space for this problem all 100 hikers? If not, what is it?

c. Find the probability that a person is female or prefers hiking on mountain peaks. Let F = being female, and let P = prefers mountain peaks.

      1. Find P(F)=……………..

      2. Find P(P)=……………..

      3. Find P(FP) =.…………...

      4. Find P(FP) =……………..

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The following table shows a random sample of 200 students and their majors. If one person...
The following table shows a random sample of 200 students and their majors. If one person was chosen at random, find the probability. Enter your answer as a reduced fractions or a percent, rounded to the nearest tenth of a percent. English History Science Total Female 45 38 27 110 Male 12 52 26 90 Total 57 90 53 200 a. that the person is male b. that the person is a Science major c. that the person is male...
The table below shows the results of a survey that asked 28682868 people whether they are...
The table below shows the results of a survey that asked 28682868 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts​ (a) through​ (d). Frequently    Occasionally Not at all Total Male 228 458 794 1480 Female 202 440 746 1388 Total 430 898 1540 2868 ​(a) Find the probability that the person is frequently or occasionally involved in charity work. Upper P left parenthesis being frequently involved...
3)The following gives a two way classification of all the faculty members of   a university based...
3)The following gives a two way classification of all the faculty members of   a university based on gender and tenure.                             Tenured                Non-tenured                                        Male                         36                              24                                        Female                      24                             16 If one of these faculty members is selected at random, find the following probabilities. a. P (male or non-tenured)   b. P(female and tenured) c. P(female given that the person is non-tenured) d. Are the events " tenured" and " male " independent ? Explain why or why not . e....
The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in...
The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling. Personality Type Occupation T F Row Total Clergy (all denominations) 55 93 148 M.D. 79 80 159 Lawyer 120 92 212 Column Total 254 265 519 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. (a) What is the level...
1. A random number generator is used to select a number from 1 to 500 ?(inclusively)....
1. A random number generator is used to select a number from 1 to 500 ?(inclusively). What is the probability of selecting the number 595 ? What is the probability? 2.Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. -Randomly choosing an even number between 10 and 20, inclusive The sample space is? (Use a comma to separate answers) There are _____ outcomes in the sample space 3. Determine the number...
The following table shows age distribution and location of a random sample of 166 buffalo in...
The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Age Lamar District Nez Perce District Firehole District Row Total Calf 10 13 18 41 Yearling 10 14 9 33 Adult 38 29 25 92 Column Total 58 56 52 166 Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance. (a) What is the level of significance? State the null and...
The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in...
The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling. Personality Type Occupation T F Row Total Clergy (all denominations) 53 95 148 M.D. 72 87 159 Lawyer 120 92 212 Column Total 245 274 519 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. (a) What is the level...
The following table shows the Myers-Briggs personality preference and area of study for a random sample...
The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 college students. In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing. Myers-Briggs Preference Arts & Science Business Allied Health Row Total IN 63 9 24 96 EN 85 44 25 154 IS 52 36 27 115 ES 79 47 28 154 Column Total 279 136 104 519...
The following table shows the Myers-Briggs personality preference and area of study for a random sample...
The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 college students. In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing. Myers-Briggs Preference Arts & Science Business Allied Health Row Total IN 64 17 15 96 EN 87 43 24 154 IS 60 30 25 115 ES 70 39 45 154 Column Total 281 129 109 519...
How to slove problems e to j ? 1. A statistics class for engineers consists of...
How to slove problems e to j ? 1. A statistics class for engineers consists of 53 students. The students in the class are classified based on their college major and sex as shown in the following contingency table: College Major Sex Industrial Engineering Mechanical Engineering Electrical Engineering Civil Engineering Total Male 15 6 7 2 30 Female 10 4 3 6 23 Total 25 10 10 8 53 If a student is selected at random from the class by...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT