Question

2. You are shooting at a target twice. The probability of hitting the target on the...

2. You are shooting at a target twice. The probability of hitting the target on the first shot is 0.3. If you hit the target on that first shot, your confidence increases and the probability of hitting the target on the second shot becomes 0.7. However, if you miss the target on the first shot, your confidence decreases, so that the probability of hitting the target on the second shot becomes 0.15.

a) Show the probability tree summarizing these trials of shooting at the target. Make sure that you include all the properties of the probability tree.

b) What is the probability that you miss the target twice?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a)

scenario Probabilities Equation
1St hit on target & 2nd also hit on target 0.21 =0.3*0.7
1st hit on target & 2nd missed on target 0.09 =0.3*0.3
1st missed on target & 2nd hit on target 0.105 =0.7*0.15
1st missed on target & 2nd also missed on target 0.595 =0.7*0.85

b) probanility for missing the target twice

1st missed on target & 2nd also missed on target is 0.595 ,

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
2. You are shooting at a target twice. The probability of hitting the target on the...
2. You are shooting at a target twice. The probability of hitting the target on the first shot is 0.3. If you hit the target on that first shot, your confidence increases and the probability of hitting the target on the second shot becomes 0.7. However, if you miss the target on the first shot, your confidence decreases, so that the probability of hitting the target on the second shot becomes 0.15. a) Show the probability tree summarizing these trials...
1. The probability of a man hitting the target at a shooting range is .3. If...
1. The probability of a man hitting the target at a shooting range is .3. If he shoots 10 times, what is the probability that he hits the target exactly twice? 2. The probability of a man not hitting the target at a shooting range is .6. A success is defined as hitting the target. If he shoots 12 times, what is the probability that he misses the target just once? 3. The probability of a man not hitting the...
Athos, Porthos and Aramis go target shooting together. Suppose that the chance that Porthos hits the...
Athos, Porthos and Aramis go target shooting together. Suppose that the chance that Porthos hits the target is 60%, while Aramis and Athos hit the target with probability 40% and 20%, respectively. At the first round, they all shoot at the same target and at the same time. Also, their shots are independent. a) Given that exactly one shot hit the target, what is the probability that it was Porthos' shot? b) Given that the target is hit, what is...
The probability of a man hitting the target at a shooting range is 1/4. If he...
The probability of a man hitting the target at a shooting range is 1/4. If he shoots 30 times, what is the probability that he hits the target at least 10 times?  (Copy your R code and the result). Suppose  X follows a Chi-square distribution with degree of freedom 12. Find the cutoff point a, such that, P(X<a) = 0.85. Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean...
Historical data show that a well-trained sniper can hit a target located at ½ mile 4...
Historical data show that a well-trained sniper can hit a target located at ½ mile 4 out of 5 times. What is the probability that he is going to hit a target on his second shot? 0.9           b) 0.8                      c) 0.7                         d) 0.16 What is the probability that it takes to him 3 trials to hit the target twice? 0.032       b) 0.36                     c) 0.64             d) 0.288
Suppose you have a spinner comprised of six equal spaces: a orange 1, a yellow 2,...
Suppose you have a spinner comprised of six equal spaces: a orange 1, a yellow 2, a green 3, a pink 4, a blue 5, and a purple 6. Consider an experiment that consists of randomly spinning the spinner twice. Draw a tree diagram that shows all of the possible outcomes of this experiment. That is, draw a tree diagram that illustrates all possible two spin outcomes. Count the number of paths that yield anything but green or pink on...
According to a 2018 article in Esquire magazine, approximately 70% of males over age 70 will...
According to a 2018 article in Esquire magazine, approximately 70% of males over age 70 will develop cancerous cells in their prostate. Prostate cancer is second only to skin cancer as the most common form of cancer for males in the United States. One of the most common tests for the detection of prostate cancer is the prostate-specific antigen (PSA) test. However, this test is known to have a high false-positive rate (tests that come back positive for cancer when...
[Operational Management/Business Analytics] Mr. James Hatton was the proprietor of a real estate firm specializing in...
[Operational Management/Business Analytics] Mr. James Hatton was the proprietor of a real estate firm specializing in investment properties in the Vancouver area. Mr. Hatton’s business had done well during the real estate boom in the Vancouver area. Just recently a prospective client who held land for speculation offered Mr. Hatton exclusive listing of three properties subject to some special restrictions which the client felt would ensure that Mr. Hatton would market the properties with due diligence. The location of these...
Suppose California Baptist University (CBU) is considering creating a brand new major, Medical Science, in 2016....
Suppose California Baptist University (CBU) is considering creating a brand new major, Medical Science, in 2016. If CBU sticks with its current curriculum and creates no further majors, then the annual revenue will be tuition ($11.5 million), donation ($4.4 million), and research grants ($2.5 million). At the same time, CBU incurs costs such as employee salaries ($6 million), rent ($5 million), and utilities ($2.2 million) to maintain its business annually. If CBU decides to create new majors, then there are...
1.A fair die is rolled once, and the number score is noted. Let the random variable...
1.A fair die is rolled once, and the number score is noted. Let the random variable X be twice this score. Define the variable Y to be zero if an odd number appears and X otherwise. By finding the probability mass function in each case, find the expectation of the following random variables: Please answer to 3 decimal places. Part a)X Part b)Y Part c)X+Y Part d)XY ——- 2.To examine the effectiveness of its four annual advertising promotions, a mail...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT