# Question: The following function is the density function for the random

The following function is the density function for the random variable X:

a. Graph the density function.

b. Find the probability that X lies between 1 and 3.

c. What is the probability that X lies between 4 and 8?

d. Compute the probability that X is less than 7.

e. Find the probability that X is greater than3.

a. Graph the density function.

b. Find the probability that X lies between 1 and 3.

c. What is the probability that X lies between 4 and 8?

d. Compute the probability that X is less than 7.

e. Find the probability that X is greater than3.

**View Solution:**## Answer to relevant Questions

The random variable X is exponentially distributed with λ = 3. Sketch the graph of the distribution of X by plotting and connecting the points representing f(x) for x = 0, .5, 1, 1.5, and 2.Repeat Exercise 9.7 with n = 100.In Exercise A sample of n = 16 observations is drawn from a normal population with µ = 1,000 and σ = 200. Find the following.a. P (x̄ > 1,050)b. P (x̄ < 960)c. P (x̄ > 1,100)An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with mean = 117 cm and standard deviation = 5.2 cm.a. Find the probability that one ...The time it takes for a statistics professor to mark his midterm test is normally distributed with a mean of 4.8 minutes and a standard deviation of 1.3 minutes. There are 60 students in the professor’s class. What is the ...a. The manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 53%. What is the probability that in a random sample of 400 headache sufferers, less than 50% obtain ...Post your question