QUESTION 10Suppose f(x) = 1/4 over the range a ≤ x ≤ b, and suppose P(X > 4) = 1/2. What are the values for a and b? a.2 and 6 b.Cannot answer with the information given. c.0 and 4 d.Can be any range of x values whose length (b − a) equals 4. QUESTION 11The probability density function, f(x), for any continuous random variable X, represents: a.all possible values that X will assume within some interval a ≤ x ≤ b. b.the probability that X takes on a specific value x. c.the height of the density function at x. d.None of these choices. QUESTION 12Which of the following is true about f(x) when X has a uniform distribution over the interval [a, b]? a.The values of f(x) are different for various values of the random variable X. b.f(x) equals one for each possible value of X. c.f(x) equals one divided by the length of the interval from a to b. d.None of these choices.

Given that,want to calculate values of a and bNote: As per our guidelines, only the first question…

Answered: QUESTION 10 Suppose f(x) = 1/4 over the…

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.4: Total Differentials And Approximations

Problem 23E: Eastern Hemlock Ring shake, which is the separation of the wood between growth rings, is a serious...

Suppose f(x) = 1/4 over the range a ≤ x ≤ b, and suppose P(X > 4) = 1/2. What are the values for a and b?

	a.	2 and 6
	b.	Cannot answer with the information given.
	c.	0 and 4
	d.	Can be any range of x values whose length (b − a) equals 4.

The probability density function, f(x), for any continuous random variable X, represents:

	a.	all possible values that X will assume within some interval a ≤ x ≤ b.
	b.	the probability that X takes on a specific value x.
	c.	the height of the density function at x.
	d.	None of these choices.

Which of the following is true about f(x) when X has a uniform distribution over the interval [a, b]?

	a.	The values of f(x) are different for various values of the random variable X.
	b.	f(x) equals one for each possible value of X.
	c.	f(x) equals one divided by the length of the interval from a to b.
	d.	None of these choices.