true/false. For a continuous random variable, the probability that the random variable lies in the interval...
true/false.
For a continuous random variable, the probability that the random variable lies in the interval [a,b] is the area under the pdf curve between a and b.
Homework Answers
True
The probability that X takes on a value in the interval [a, b] is the area above this interval and under the graph of the density function
P(a<X<b) = area under a curve between a and b. the probability that x lies between a and b is the integral of the function f(x) dx.
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For a continuous random variable, the probability that the
random variable lies in the interval...
1) The probability in a continuous distribution is the height under the curve. TRUE or FALSE?...
1) The probability in a continuous distribution is the height under the curve. TRUE or FALSE? 2) 99% of the data in a normal distribution lies within 2 standard deviations of the mean. TRUE or FALSE? 3) The sample is generally larger than the population. TRUE or FALSE?
Suppose that a continuous random variable takes on the interval from 0 to 4 that the graph of its probability density is given the blue line of Figure 7.19 on values on the interval fr t 7.2 Suppose t...
Suppose that a continuous
random variable takes on the interval from 0 to 4 that the graph of
its probability density is given the blue line of Figure 7.19
on values on the interval fr t 7.2 Suppose that a continuous random variable takes on values 0 to 4 and that the graph of its probability density is given by the blue tr to e line Figure 7.19. (a) Verify that the total area under the curve is equal to...
On the graph of a uniformly distributed continuous random variable x, the probability density function, f(x),...
On the graph of a uniformly distributed continuous random variable x, the probability density function, f(x), represents Group of answer choices the height of the function at x the area under the curve at x the probability at a given value of x the area under the curve to the right of x
Suppose T is a continuous random variable whose probability is determined by the ex- ponential di...
Suppose T is a continuous random variable whose probability is determined by the ex- ponential distribution, f(t), with mean μ. a. Compute the probability that T is less than p b. The median of a continuous random variable T is defined to be the number, m, such that P(T which mIn other words, if f(t) is the PDF of T, it is the number m for P(T )f(t) dt Compute the median for the exponential random variable T above. Is...
1. The continuous random variable X, has a uniform distribution over the interval from 23 to...
1. The continuous random variable X, has a uniform distribution over the interval from 23 to 43. a) What in the probability density function in the interval between 23 to 43? 6. 7: Total : _ 16 14 /25 b) What is the probability that X is between 26 and 33? c) What is the mean of X? 2. Given that z is a standard normal random variable, a) what is the probability of z being greater than-1.53? b) if...
Let X be a uniformly distributed continuous random variable that lies between 1 and 10. i....
Let X be a uniformly distributed continuous random variable that lies between 1 and 10. i. Sketch the probability density function for X. ii. Find the formula for the cumulative distribution for X and use it to compute the probability that X is less than 6
True or False (1 point each) (Correct the ones that are false) The purpose of an interval estima...
True or False (1 point each) (Correct the ones that are false) The purpose of an interval estimate is to provide information about how close a point estimate, i.e. sample statistic, is to the population parameter. If the population standard deviation is unknown and cannot be estimated from historical data, an interval estimate for the population mean can be constructed by substituting the sample standard deviation and using the t distribution instead of the normal distribution. You cannot determine a...
7. For a discrete random variable, the set of possible values is a. an interval of...
7. For a discrete random variable, the set of possible values is a. an interval of real numbers. b. a set of numbers that is countable. c. a set of numbers that has a finite number of numbers. d. none of the above. 8. Let X be a continuous random variable, then P( X = 0) is a. 0.00001. b. zero. c. can be large in some random variable. d. none of the above. 9. For a discrete random variable,...
4. Let X be a continuous random variable defined on the interval [1, 10 with probability...
4. Let X be a continuous random variable defined on the interval [1, 10 with probability density function r2 (a) Find the value of c such that p(x) is a valid probability density function. (b) Find the probability that X is larger than 8 or less than 2 (this should be one number! (c) Find the probability that X is larger than some value a, assuming 1 < a< 10 d) Find the probability that X is more than 3
3. Let X be a continuous random variable defined on the interval 0, 4] with probability...
3. Let X be a continuous random variable defined on the interval 0, 4] with probability density function p(r) e(1 +4) (a) Find the value of c such that p(x) is a valid probability density function b) Find the probability that X is greater than 3 (c) If X is greater than 1, find the probability X is greater than 2 d) What is the probability that X is less than some number a, assuing 0<a<4?
Suppose that a continuous
random variable takes on the interval from 0 to 4 that the graph of
its probability density is given the blue line of Figure 7.19
on values on the interval fr t 7.2 Suppose that a continuous random variable takes on values 0 to 4 and that the graph of its probability density is given by the blue tr to e line Figure 7.19. (a) Verify that the total area under the curve is equal to...
Suppose T is a continuous random variable whose probability is determined by the ex- ponential distribution, f(t), with mean μ. a. Compute the probability that T is less than p b. The median of a continuous random variable T is defined to be the number, m, such that P(T which mIn other words, if f(t) is the PDF of T, it is the number m for P(T )f(t) dt Compute the median for the exponential random variable T above. Is...
1. The continuous random variable X, has a uniform distribution over the interval from 23 to 43. a) What in the probability density function in the interval between 23 to 43? 6. 7: Total : _ 16 14 /25 b) What is the probability that X is between 26 and 33? c) What is the mean of X? 2. Given that z is a standard normal random variable, a) what is the probability of z being greater than-1.53? b) if...
7. For a discrete random variable, the set of possible values is a. an interval of real numbers. b. a set of numbers that is countable. c. a set of numbers that has a finite number of numbers. d. none of the above. 8. Let X be a continuous random variable, then P( X = 0) is a. 0.00001. b. zero. c. can be large in some random variable. d. none of the above. 9. For a discrete random variable,...
4. Let X be a continuous random variable defined on the interval [1, 10 with probability density function r2 (a) Find the value of c such that p(x) is a valid probability density function. (b) Find the probability that X is larger than 8 or less than 2 (this should be one number! (c) Find the probability that X is larger than some value a, assuming 1 < a< 10 d) Find the probability that X is more than 3
3. Let X be a continuous random variable defined on the interval 0, 4] with probability density function p(r) e(1 +4) (a) Find the value of c such that p(x) is a valid probability density function b) Find the probability that X is greater than 3 (c) If X is greater than 1, find the probability X is greater than 2 d) What is the probability that X is less than some number a, assuing 0<a<4?
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