Question

6. Solve the problem.

Swinging Sammy Skor's batting prowess was simulated to get an estimate of the probability that
Sammy will get a hit. Let 1 = HIT and 0 = OUT. The output from the simulation was as follows.
100000010010100001 011000010001101000001001
Estimate the probability that Sammy gets a hit.
in Tables
0.310
0.286
0.333
0.301

Answer 1

To estimate the probability of Sammy getting a hit, count the instances of '1' for hits and divide by the total number of occurrences ('1' for hits and '0' for outs) to find the estimated probability.

Step-by-step explanation:

The question involves estimating the probability that Sammy gets a hit, based on a sequence where '1' represents a hit and '0' represents an out. To estimate this probability, we simply need to count the number of hits and divide by the total number of at-bats.

Looking at the simulation output, first count the number of '1's; this is the number of times Sammy got a hit. Then count the total number of occurrences of both '1's and '0's; this is the total number of at-bats. Lastly, divide the number of hits by the total number of at-bats to get the estimate of the probability of getting a hit.

For instance, if there are 20 instances of the number '1' and 80 instances of '0' (making a total of 100 at-bats), the probability of getting a hit is 20/100 = 0.200 or 20%.

Answer 2

The answer is 0.286 because. .