Jason has not been studying and believes that the probability that he will pass his chemistry...

Jason has not been studying and believes that the probability that he will pass his chemistry exam is 0.4, the probability that he will pass the biology exam is 0.3 and the probability that he will pass both exams is 0.18.

1) Find the probability that Jason will pass at least one of the exams.

2)Find the probability that he will pass the chemistry exam given that he passes the biology exam.

3)Find the probability that he will pass the biology exam if he passes the chemistry exam.

4)Find the probability that he will fail both exams.

Please answer questions and explain answer!! Thank you

Solutions

Expert Solution

1) P(pass at least one exam) = P(pass chemistry) + P(pass biology) - P(pass both)

= 0.4 + 0.3 - 0.18

= 0.52

2) P(pass chemistry | pass biology) = P(pass chemistry and pass biology) / P(pass biology) = 0.18 / 0.3 = 0.6

3) P(pass biology | pass chemistry) = P(pass chemistry and pass biology) / P(pass chemistry) = 0.18 / 0.4 = 0.45

4) P(fail both exams) = 1 - P(pass at least one exam) = 1 - 0.52 = 0.48

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Jason believes that the sales of coffee at his coffee shop depend upon the weather. He...

Jason believes that the sales of coffee at his coffee shop depend upon the weather. He has taken a sample of 6 days varying in degrees of temperature. Below you are given the results of the sample. Cups of Coffee Sold Temperature (in ⁰F) 350 50 200 60 220 70 110 80 65 90 40 100 a. In this scenario, the dependent variable is . b. The least squares estimated regression equation is . c. The correlation coefficient (to...

Jason believes that the sales of coffee at his coffee shop depend upon the weather. He...

Jason believes that the sales of coffee at his coffee shop depend upon the weather. He has taken a sample of 6 days. Below you are given the results of the sample. Cups of Coffee Sold Temperature (in ⁰F) 350 50 200 60 210 70 100 80 60 90 40 100 a. Compute the least squares estimated regression equation. b. Is there a significant relationship between the sales of coffee and temperature? Use a t test and a .05 level...

Jason believes that the sales of coffee at his coffee shop depend upon the weather. He...

Jason believes that the sales of coffee at his coffee shop depend upon the weather. He has taken a sample of 5 days. Below you are given the results of the sample. Cups of Coffee Sold Temperature 700 50 500 60 400 70 200 80 100 90 Now we are going to conduct a hypothesis test to see if there is a significant relationship between sales of coffee and temperature. The hypotheses are: H 0 ; β 1 = 0...

Jason has decided to donate his kidney to his brother Matthew so that he can live....

Jason has decided to donate his kidney to his brother Matthew so that he can live. How would the psychoanalytic, social learning, and cognitive theorists explain his actions?

Jason believes that the sales of coffee at his coffee shop depend upon the weather. The...

Jason believes that the sales of coffee at his coffee shop depend upon the weather. The partial results of his regression analysis is below. You might need to fill in some blank spaces in the output. Regression Statistics Multiple R 0.95 R Square Adj. R Square 0.88 Standard Error 39.98 Observations 6 ANOVA df SS MS F Significance F Regression 1 38.66 0.00 Error 4 1598.57 Total 5 68200.00 Coefficients Std Error. t Stat P-value Lower 95% Upper 95% Intercept...

Jason is saving for a new TV. He currently has $2,200 in his account that earns...

Jason is saving for a new TV. He currently has $2,200 in his account that earns 3%, compounded monthly, and the new TV costs $5,500. Assuming Jason deposits $100 in his account each month, how many months until his account has enough money to purchase the new TV? Group of answer choices 33 months. 24 months. 31 months. 29 months.

Jason has an opportunity with his current employer to work overseas for five years. If he...

Jason has an opportunity with his current employer to work overseas for five years. If he takes this option, Jason would move overseas, while his family would stay in Canada. In this case, Jason would visit his family often, returning to Canada for his six weeks of vacation and as many holidays as possible. Jason is unsure how working overseas will impact his residency in Canada for tax purposes. Explain the difference between deemed resident, ordinarily resident, and non-resident for...

Jason works at a call center for an insurance company called ABF, and he has been...

Jason works at a call center for an insurance company called ABF, and he has been answering calls regarding auto insurance. Recently, he started to attend a training program about home insurance. Upon successful completion of this training program, Jason will be able to handle home insurance questions and queries as well. Jason now will get in addition to his base salary a medical insurance, vacations, day care assistance, and spot bonus. ABF does not employ highly experienced and knowledgeable...

4. A teacher believes that whatever he says in class has no effect on his students....

4. A teacher believes that whatever he says in class has no effect on his students. Just as he's about to quit his profession, a statistician enters the room and suggests that the teacher design a study to test his assumption. The study will look at whether providing in-class feedback on homework assignments enhances classroom performance. The teacher wants to know whether providing feedback before or after returning the assignments is most useful. He's also interested in the most effective...

In one city, the probability that a person will pass his or her driving test on...

In one city, the probability that a person will pass his or her driving test on the first attempt is 0.7. Assume that 10 people are selected at random from among those taking their driving test for the first time. (a) [5 points] What are the values of n, p, and q in this problem? (b) [30 points] What is the probability that at least 8 of the 10 selected people pass the test? (c) [10 points] Determine the mean...

Subjects