Sarah has two tests at school next week, a math test and a physics test. Let...
Sarah has two tests at school next week, a math test and a physics test. Let A represent the event that she passes her math test and B represent the event that she passes her physics test. If A and B are independent events with P(A)=0.30 and P(A AND B)=0.21, find P(B).
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Sarah has two tests at school next week, a math test and a
physics test. Let...
A. Suppose, that 1000 items are selected for two quality control tests (dependent tests), say Test...
A. Suppose, that 1000 items are selected for two quality control tests (dependent tests), say Test 1 and Test 2. Suppose further, that the probability that a randomly selected product passes Test 1 is 0.8, and the probability that the product passes Test 2 is 0.7. It is further found that the probability that the product passes at least one of the tests, either Test 1 or Test 2, or both Tests 1 and 2, is 0.95. Find the probability...
2III. Two similar groups of students took equivalent math tests. Which of the following results indicates...
2III. Two similar groups of students took equivalent math tests.
Which of
the following results indicates the higher relative score?
A score of 60 on a test for which the mean score is 70 and s =
10.
A score of 480 on a test for which the mean score is 500 and s =
50.
IV. a. A fair coin is tossed 5 times. What is the probability
that the sequence of tosses is HTHTT?
b.A fair die is...
7 My wife will have a birthday next Thursday and sometimes I forget to get her...
7 My wife will have a birthday next Thursday and sometimes I forget to get her a birthday present. If I forget to get her a present, she may or may not get mad at me. Of course, she may get mad at me even if I do buy her a present. Let A = event that I remember to buy her a present and B = event that she gets mad at me. These events are obviously not independent...
Having been working for two years, Sarah has decided to purchase a car for daily commute...
Having been working for two years, Sarah has decided to purchase a car for daily commute and leisure. After hearing the advices and suggestions from friends and family, she has visited several auto dealerships, and chosen the new car she would like to purchase. She now wants to research her financing options to choose the best way to pay for the car. Sarah knows that with taxes, licence, delivery, and dealer preparation fees, the car will cost $27,650. She has...
Two standard dice are rolled, one red, one green. Let A be the event that the...
Two standard dice are rolled, one red, one green. Let A be the event that the red die is a either a 4 or a 6, let B be the event that the sum of the dice is grenter than 5 a. Find P(A) c. Find P(A | B) e. Find P(An B) . Find P(A'I B) 10. b. Find P(B) d. Find P(B | A) f. Find P(AnB') h Find P(A'UB) Are events A and B dependent or independent?...
A graduate student in education has developed an mathematical intervention program for under-performing school children. To test the effectiveness of his intervention he administers a math skills ass...
A graduate student in education has developed an mathematical intervention program for under-performing school children. To test the effectiveness of his intervention he administers a math skills assessment at the beginning of the school year to a sample of n-25 students. He then implements the program throughout the year and re-assess the students again at the end of the school year. On average there was a 3 point difference between time 1 and time 2, with a variance value of...
On the first day of class, an economics professor administers a test to gauge the math preparedne...
On the first day of class, an economics professor administers a test to gauge the math preparedness of her students. She believes that the performance on this math test and the number of hours studied per week on the course are the primary factors that predict a student's score on the final exam. She collects data from 60 students, a portion of which is shown in the accompanying table Final 94 74 Math 92 90 Hours 63 64 icture Click...
i need help on question 3 to 22 please. Midterm ex review. MATH 101 Use the...
i need help on question 3 to 22 please.
Midterm ex review. MATH 101 Use the following information to answer the next four exercises. The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 82, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100,740 1. Do you see any outliers in this data? If so, how would...
Problem #3: Let A and B be two events on the sample space S. Then show...
Problem #3: Let A and B be two events on the sample space S. Then show that a. P(B) P(AOB)+P(AnB) b. If Bc A, then show that P(A)2 P(B) Show that P(A| B)=1-P(A|B) C. P(A) d. If A and B are mutually exclusive events then show that P(A| AUB) = PA)+P(B) Problem 4: If A and B are independent events then show that A and B are independent. If A and B are independent then show that A and B...
An oil exploration company currently has two active projects, one in Asia and the other in...
An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the Asian project is successful and B be the event that the European project is successful. Suppose that A and B are independent events with P(A) = 0.6 and P(B) = 0.7. (a) If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning.Since the events...
2III. Two similar groups of students took equivalent math tests.
Which of
the following results indicates the higher relative score?
A score of 60 on a test for which the mean score is 70 and s =
10.
A score of 480 on a test for which the mean score is 500 and s =
50.
IV. a. A fair coin is tossed 5 times. What is the probability
that the sequence of tosses is HTHTT?
b.A fair die is...
Two standard dice are rolled, one red, one green. Let A be the event that the red die is a either a 4 or a 6, let B be the event that the sum of the dice is grenter than 5 a. Find P(A) c. Find P(A | B) e. Find P(An B) . Find P(A'I B) 10. b. Find P(B) d. Find P(B | A) f. Find P(AnB') h Find P(A'UB) Are events A and B dependent or independent?...
A graduate student in education has developed an mathematical intervention program for under-performing school children. To test the effectiveness of his intervention he administers a math skills assessment at the beginning of the school year to a sample of n-25 students. He then implements the program throughout the year and re-assess the students again at the end of the school year. On average there was a 3 point difference between time 1 and time 2, with a variance value of...
On the first day of class, an economics professor administers a test to gauge the math preparedness of her students. She believes that the performance on this math test and the number of hours studied per week on the course are the primary factors that predict a student's score on the final exam. She collects data from 60 students, a portion of which is shown in the accompanying table Final 94 74 Math 92 90 Hours 63 64 icture Click...
i need help on question 3 to 22 please.
Midterm ex review. MATH 101 Use the following information to answer the next four exercises. The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 82, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100,740 1. Do you see any outliers in this data? If so, how would...
Problem #3: Let A and B be two events on the sample space S. Then show that a. P(B) P(AOB)+P(AnB) b. If Bc A, then show that P(A)2 P(B) Show that P(A| B)=1-P(A|B) C. P(A) d. If A and B are mutually exclusive events then show that P(A| AUB) = PA)+P(B) Problem 4: If A and B are independent events then show that A and B are independent. If A and B are independent then show that A and B...
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