Question

the continuous random variable X is uniformly distributed over the interval 4 to 10.What is P(5<=X<=11)?

the continuous random variable X is uniformly distributed over the interval 4 to 10.What is P(5<=X<=11)?

Homework Answers

Answer #1

Solution :

The probability density function of a random variable X which is uniformly distributed over the interval 4 to 10 is given as follows :

We have to find P(5 ≤ X ≤ 11).

Please rate the answer. Thank you.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that X is a random variable uniformly distributed over the interval (0, 2), and Y...
Suppose that X is a random variable uniformly distributed over the interval (0, 2), and Y is a random variable uniformly distributed over the interval (0, 3). Find the probability density function for X + Y .
A continuous random variable X is uniformly distributed. The minimum value for X is 20 and...
A continuous random variable X is uniformly distributed. The minimum value for X is 20 and the maximum value for X is 120. Write down the rules for f(x), the density function for X. Find the median of this distribution. Find P(X>40) Find P( 25 < X < 55) Find P(X < 75)
the random variable c is uniformly distributed over the integral (5,10) a) if y=G(x)=4(x^2) , find...
the random variable c is uniformly distributed over the integral (5,10) a) if y=G(x)=4(x^2) , find fy(y) b) determine E{G(x)}
Assume that you have a continuous random variable which is uniformly distributed in the range: [3,8]...
Assume that you have a continuous random variable which is uniformly distributed in the range: [3,8] . What is the probability that the random variable takes on a value less than or equal to 7?
Let X represent a continuous random variable with a Uniform distribution over the interval from 0...
Let X represent a continuous random variable with a Uniform distribution over the interval from 0 to 2. Find the following probabilities (use 2 decimal places for all answers): (a) P(X ≤ 1.92) = (b) P(X < 1.92) = (c) P(0.22 ≤ X ≤ 1.56) = (d) P(X < 0.22   or   X > 1.56) =
Suppose that X is uniformly distributed on the interval [0,5], Y is uniformly distributed on the...
Suppose that X is uniformly distributed on the interval [0,5], Y is uniformly distributed on the interval [0,5], and Z is uniformly distributed on the interval [0,5] and that they are independent. a)find the expected value of the max(X,Y,Z) b)what is the expected value of the max of n independent random variables that are uniformly distributed on [0,5]? c)find pr[min(X,Y,Z)<3]
The random variable X is uniformly distributed in the interval [0, α] for some α >...
The random variable X is uniformly distributed in the interval [0, α] for some α > 0. Parameter α is fixed but unknown. In order to estimate α, a random sample X1, X2, . . . , Xn of independent and identically distributed random variables with the same distribution as X is collected, and the maximum value Y = max{X1, X2, ..., Xn} is considered as an estimator of α. (a) Derive the cumulative distribution function of Y . (b)...
1. Let P = (X, Y ) be a uniformly distributed random point over the diamond...
1. Let P = (X, Y ) be a uniformly distributed random point over the diamond with vertices (1, 0),(0, 1),(?1, 0),(0, ?1). Show that X and Y are not independent but E[XY ] = E[X]E[Y ]
Given an exponential random variable X with parameter θ and θ is uniformly distributed on the...
Given an exponential random variable X with parameter θ and θ is uniformly distributed on the interval (2,4). Solve for the expected value and variance of X.
Let X be a normally distributed random variable with mean 5. 1. If P(4 ≤ X...
Let X be a normally distributed random variable with mean 5. 1. If P(4 ≤ X ≤ 4.6) = .240, find P(5.4 ≤ X ≤ 6). 2. Suppose P(X ≤ k) = .5 for some number k. What is the value of k? 3. Suppose P(X ≤ ℓ.) = .841, for some mystery value ℓ.. Approximately how many standard deviations above or below the mean is the value ℓ.?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT