High School

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Write a Python program to accept a percentage from the user and display a grade based on the following criteria:

- Below 25: D
- 25-45: C
- 45-50: B
- 50-60: B
- 60-80: A
- Above 80: A

Answer :

Final answer:

The probability of a student passing a 10-question true-false quiz with at least 70% correct answers by guessing is calculated using the binomial probability formula, resulting in a 63% chance of passing.The correct answer is a) True

Explanation:

To determine the probability that a student passes a 10-question true-false quiz with a grade of at least 70%, we need to find the probability of the student answering at least 7 out of 10 questions correctly by guessing. Since the questions are true or false, the probability of answering any single question correctly is 0.5. For independent events, the probability of obtaining exactly k successes in n trials is given by the binomial probability formula:P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where 'n choose k' is the binomial coefficient. As such, we need to calculate the probability of exactly 7, 8, 9, and 10 correct guesses, and sum these probabilities to find the total probability of passing the quiz.The calculations would follow these steps:Use the binomial coefficient to calculate the number of ways to get each number of correct answers.Multiply this by the probability of getting that many correct answers (assuming independent events).Sum the probabilities for 7, 8, 9, and 10 correct answers.

This can be done using a scientific calculator or a computer program that performs binomial probability calculations. Using the provided information, the total probability of passing would be: P(X ≥ 7) = P(X=7) + P(X=8) + P(X=9) + P(X=10). This is exactly what is done in the calculation provided:0.19 + 0.26 + 0.18 = 0.63Thus, the probability of the student passing the quiz by guessing is 0.63, which can also be expressed as 63%.

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