Question

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: 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1. Estimate the probability that he gets a hit.

Answer 1

The probability that Swinging Sammy Skor gets a hit is estimated by counting the number of hits (15) and dividing by the total at-bats (36), resulting in an estimated probability of approximately 0.4167 or 41.67%.

Step-by-step explanation:

To estimate the probability that Swinging Sammy Skor gets a hit, we can use the simulation output given, where '1' represents a hit and '0' represents an out. We will count the number of hits (1's) and divide it by the total number of at-bats (both hits and outs).

First, we count the hits: there are 15 instances of '1'.

Next, we determine the total number of at-bats by counting both '1's and '0's, which gives us 36 at-bats in total.

Now, to find the probability, we divide the number of hits by the total number of at-bats: Probability of getting a hit = Number of hits / Total at-bats = 15/36.

Upon simplification, this gives us a probability of 5/12 or approximately 0.4167.

Therefore, the estimated probability that Sammy gets a hit is approximately 0.4167 or 41.67%.