Show that this function satisfies the requirements of a, Basic Statistics

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Show that this function satisfies the requirements of a

Q1 : Consider the following probability distribution function for a continuous random variable:

f(x) = 3x² /35 -2< x < 3

= 0 elsewhere

(a) Show that this function satisfies the requirements of a probability distribution function.

(b) Calculate the expected (mean) value of x.

Q2: In Problem 6.20, calculate the probability of the following cases:

(a) X ≤ 0.

(b) 0 < x ≤ 1.

Q3: In the manufacturing of an electronic part, the probability of a part being defective is S% (a) What are the probabilities that, in a batch of 100 parts,

• 2 will be defective?
• 5 will be defective?
• 10 will be defective?

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Basic Statistics: Show that this function satisfies the requirements of a

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Basic Statistics: Show that this function satisfies the requirements of a

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