The following line plot shows the students’ birthdays in a class. Compare the theoretical and experimental probability.

Question

Based on the data from the class, experimental P(Tuesday) = 525=15=0.2=20%

Because there are 7 days in a week, theoretical P(Tuesday) = 17=0.14=14%
Please complete the following question:

In experiment, a coin is flipped 30 times and the results are

{H, H, H, T, T, T, T, H, T, H, H, T, H, H, H, T, T, H, H, H, T, H, T, T, H, T, H, H, H, H}.

Heads: 18

Tails: 12

(2 points)
Round your answer to the tenth place (one digit).

Determine the experimental P(head) =
.

Determine the theoretical P(head) =
.

Question 2
(1 point)
The theoretical probability is
the experimental probability the coin landing on heads

Answer 1

0.6

0.5

greater than

Answer 2

could you show the steps

Answer 3

Sure! Here are the steps to calculate the experimental and theoretical probabilities:

Experimental Probability of Heads:
- Number of times heads appeared: 18
- Total number of times the coin was flipped: 30
- Experimental Probability = Number of times heads appeared / Total number of times coin was flipped
- Experimental Probability = 18 / 30 = 0.6 or 60%

Theoretical Probability of Heads:
- Since the coin has two sides (heads and tails), the theoretical probability of landing heads is 0.5 or 50%.

Comparing Theoretical and Experimental Probability:
- The theoretical probability of landing heads is 0.5 or 50%, which is less than the experimental probability of landing heads, which is 0.6 or 60%.