The birth weights of newborn babies in the United States follow a normal distribution with a mean of 3.4\text{ kg}3.4

The birth weights of newborn babies in the United States follow a normal distribution with a mean of 3.4\text{ kg}3.4 kg3, point, 4, start text, space, k, g, end text and a standard deviation of 0.6\text{ kg}0.6 kg0, point, 6, start text, space, k, g, end text. Researchers interested in studying how children gain weight decide to take random samples of 100100100 newborn babies and calculate the sample mean birth weight \bar x

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x, with, \bar, on top for each sample.

The probability that Gerald makes a three-point shot in basketball is 20\%20%20, percent. For practice, Gerald will regularly shoot a

The probability that Gerald makes a three-point shot in basketball is 20\%20%20, percent. For practice, Gerald will regularly shoot a series of these shots until he succeeds at one. He’s curious how many shots it will typically take him to get his first successful shot.

He simulated 404040 trials of three-point shots where each shot had a 0.20.20, point, 2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot. Here are his results:
Use his results to estimate the probability that it takes 101010 or fewer shots to get his first successful shot.
Give your answer as either a fraction or a decimal.