Write a function to return all the prime numbers less than n, where n is a...

    

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Write a function to return all the prime numbers less than n, where n is a parameter (assumen > 2). $ primes (40) [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37] ]: def primes (n): """Returns all prime numbers from 2 to n (excluding n) """ # YOUR CODE HERE raise Not ImplementedError() Write a function to return all the prime factors of n, where n is a parameter (Hint: you can call your prime function from the previous problem). $ factor (40) [2, 2, 2, 5] $ factor (23) [23] def factor (n): """""Return all the prime factors of n.""" #YOUR CODE HERE raise NotImplementedError() Write a function called increasing_digits to count all integers from 1 to n (inclusive) that have all digits in increasing order, where n is given as a parameter. For example, • 5 is in increasing order (single digit) • 237 is in increasing order (2 < 3 < 7) .227 is not (22) • 427 is not (4 * 2) . [In]: increasing_digits (30) [Out]: 24 1: def increasing_digits(n): *** Returns the number of integers from 1 to $n$ (inclusive) that have all digits in increasing order, where $n$ is given as a parameter. www # YOUR CODE HERE raise NotImplementedError() Write a function called stats to return the mean, median, and standard deviation (in that order) of a list of integers, where the list of integers is given as a parameter. x₁ Suppose the numbers are x₁,x2,...,x. Then the mean is μ = The median is the "middle" value is the number of integers (n) is odd, or the average of the two "middle" values if it is even (assuming the x, values are arranged in increasing order). The standard deviation is computed as follows: 11(x₁ -μ)². The stats must be returned in a list. Example: [In]: stats([15, 4, 10, 21) [Out]: [7.75, 7.0, 5.909032633745278] : import math ]: def stats(ints): www Returns the mean, median, and standard deviation (in that order) of a List of integers given as a parameter. www # YOUR CODE HERE raise Not ImplementedError() Write a function called zero_triples to return all triples in a list of integers that sum to zero. You can assume the list won't contain any duplicates, and a triple should not use the same number more than once. [In]: zero triples ( [1, 2, 4]) [Out]: [] [In]: zero_triples ( [-3, 1, 4, 21) [Out]: [[1, 2, -311 [In]: zero_triples ([-9, 1, -3, 2, 4, 5, -4, -1]) [Out]: [[-9, 4, 51, [1, -3, 2], [-3, 4, -1], [5, -4, -1]] def zero_triples (ints): Returns all triples in a list of integers that sum to zero. The list of integers is given as a parameter. Assumes the list will not contain any duplicates, and a triple should not use the same number more than once. www *** # YOUR CODE HERE raise NotImplementedError() Write a function to return all the prime numbers less than n, where n is a parameter (assumen > 2). $ primes (40) [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37] ]: def primes (n): """Returns all prime numbers from 2 to n (excluding n) """ # YOUR CODE HERE raise Not ImplementedError() Write a function to return all the prime factors of n, where n is a parameter (Hint: you can call your prime function from the previous problem). $ factor (40) [2, 2, 2, 5] $ factor (23) [23] def factor (n): """""Return all the prime factors of n.""" #YOUR CODE HERE raise NotImplementedError() Write a function called increasing_digits to count all integers from 1 to n (inclusive) that have all digits in increasing order, where n is given as a parameter. For example, • 5 is in increasing order (single digit) • 237 is in increasing order (2 < 3 < 7) .227 is not (22) • 427 is not (4 * 2) . [In]: increasing_digits (30) [Out]: 24 1: def increasing_digits(n): *** Returns the number of integers from 1 to $n$ (inclusive) that have all digits in increasing order, where $n$ is given as a parameter. www # YOUR CODE HERE raise NotImplementedError() Write a function called stats to return the mean, median, and standard deviation (in that order) of a list of integers, where the list of integers is given as a parameter. x₁ Suppose the numbers are x₁,x2,...,x. Then the mean is μ = The median is the "middle" value is the number of integers (n) is odd, or the average of the two "middle" values if it is even (assuming the x, values are arranged in increasing order). The standard deviation is computed as follows: 11(x₁ -μ)². The stats must be returned in a list. Example: [In]: stats([15, 4, 10, 21) [Out]: [7.75, 7.0, 5.909032633745278] : import math ]: def stats(ints): www Returns the mean, median, and standard deviation (in that order) of a List of integers given as a parameter. www # YOUR CODE HERE raise Not ImplementedError() Write a function called zero_triples to return all triples in a list of integers that sum to zero. You can assume the list won't contain any duplicates, and a triple should not use the same number more than once. [In]: zero triples ( [1, 2, 4]) [Out]: [] [In]: zero_triples ( [-3, 1, 4, 21) [Out]: [[1, 2, -311 [In]: zero_triples ([-9, 1, -3, 2, 4, 5, -4, -1]) [Out]: [[-9, 4, 51, [1, -3, 2], [-3, 4, -1], [5, -4, -1]] def zero_triples (ints): Returns all triples in a list of integers that sum to zero. The list of integers is given as a parameter. Assumes the list will not contain any duplicates, and a triple should not use the same number more than once. www *** # YOUR CODE HERE raise NotImplementedError()

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