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Find each of the location location z score or z value of P99 percentile points under the normal curve

Use Huffman coding to encode these symbols with given frequencies:

a: 0.20, b: 0.10, c: 0.15, d: 0.25, e: 0.30.

What is the average number of bits required to encode a character?

(12 Marks)



Write an algorithm to finds the largest of the number a, b and c.


corresponding area of z 0 and z 1.74


60% of a certain species of tomato live after transplanting from pot to garden. Eli transplants 16 of these tomato plants in a garden each month. Assume that the plants live independently of each other. Let X equals the number of tomato plants that live each month.

Find

1) the mean of X. (Give your answer to 1 decimal place.)

2) the standard deviation of X. (Give your answer to 2 decimal places.)


Two cards are drawn from a deck. How many possible value following variables take? 1. sum of the numbers on the cards 2. number of times both cards are black 3. Number of times both cards are 7s 4. Number of times the first card is six and the second card is red 5. Number of times the first card is face card and the second card is not a face card

1 A manufacturer receives a shipment of 500 spare parts from a supplier who claims that the lengths of the spare 1 parts are approximately normally distributed having a mean of 2.5 cm and a standard deviation of 0.04 cm. If the manufacturer takes a 10% random sample from the shipment, what is the probability that he gets the mean length of c. less than 2.58 cm?


D. Solve the following problem.


a. more than 2.54 cm?


b. more than 2.40 cm?


d. between 2.42 and 2.60 cm?


Given the population: 1,4,6,9 and 10. Suppose sample of size 3 are drawn from this population





Suppose that a statement of the form ∀xP(x) is false. How can this be proved?



Translate in two ways each of these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people.



a) Someone in your class can speak Hindi.



b) Everyone in your class is friendly.



c) There is a person in your class who was not born in California.



d) A student in your class has been in a movie.



e) No student in your class has taken a course in logic programming.

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