# Question: In Example 16 we estimated the probability of winning at

In Example 16, we estimated the probability of winning at least $20 in the game was 0.40. Meanwhile, we concluded analytically that the actual probability was 0.20.

a. Explain what caused the fairly large disparity between our estimated result and the actual result.

b. The simulation in the example consisted of 20 repetitions. Pick up where we left off in the random number table in the example, and conduct another 80 repetitions, for a total of 100. What is the estimated probability based on these 100 repetitions? Is it closer to the actual probability?

c. What should tend to happen to the difference between the actual and the estimated probabilities as the number of repetitions in the simulation increases?

a. Explain what caused the fairly large disparity between our estimated result and the actual result.

b. The simulation in the example consisted of 20 repetitions. Pick up where we left off in the random number table in the example, and conduct another 80 repetitions, for a total of 100. What is the estimated probability based on these 100 repetitions? Is it closer to the actual probability?

c. What should tend to happen to the difference between the actual and the estimated probabilities as the number of repetitions in the simulation increases?

**View Solution:**## Answer to relevant Questions

In Example 16 and in the previous exercise, we used random numbers to estimate the probability of winning at least $20 in the game. Recall that to do so, for each repetition we simply recorded a Yes or No, pending whether or ...In a General Social Survey, in response to the question “Do you believe in life after death?” 1455 answered yes and 332 answered no. a. Based on this survey, estimate the probability that a randomly selected adult in the ...A manufacturer of laundry detergent has introduced a new product that it claims to be more environmentally sound. An extensive survey gives the percentages shown in the table. a. Estimate the probability that a randomly ...An article about using a diagnostic test (helical computed tomography) to screen adult smokers for lung cancer warned that a negative test may cause harm by providing smokers with false reassurance, and a false-positive test ...a. What is a sample space? Give an example of a sample space for a scenario involving (i) a designed experiment and (ii) an observational study. b. What are disjoint events? Give an example of two events that are ...Post your question