The probability density function of the net weight in pounds of a packaged chemical herbicide is f(x) = 2.0 for 49.75 < x< 50.25 pounds. Determine the probability that a package weighs more than 50 pounds.

Q: Assume that a car drove for two hours and traversed 120 miles. The average rate of change is clearly…

A: According to the Mean Value Theorem in calculus, if a function is continuous over a closed interval…

Q: A salesperson’s monthly expenses (in thousands of dollars) are exponentially distributed, with an…

A: a). The exponential function:f(x)=ae-axHere:a=1μa=14.25a=0.235Put the value of a in exponential…

Q: The length of life X, in days, of a heavily used electric motor has probability density function -3x…

A:

Q: 1. A die is thrown twice. Let X₁ and X₂ denote the outcomes of first and second dices respec-…

A: The given random variable is: X=3maxX1;X2-1. Where, X1 and X2 are observed events in the experiment,…

Q: 5 mm. Although the target diameter

A: Given: Probability density function is 10e-10(x-5). Target diameter is 5 mm.

Q: Determine the cumulative distribution function for the random variable with the probability density…

A:

Q: The probability density function of time, x required to complete an assembly operation is uniformly…

A: Solution: Let X be the time required to complete an assembly operation. From the given information,…

Q: The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having…

A: Probability density function of X isf(x)=5000(x+50)3 , x&gt;0

Q: The distance x, in feet, between successive cars on a certain stretch of highway has the following…

A: To find: The probability that the distance between two successive cars  chosen at randomis 55ft or…

Q: is 0.86. Use this information and the symmetry of the density function to find the probability that…

A: Given: Mean, μ=92 X=105 Probability, p = 0.86 Using standard normal table, P (Z&lt;z)=0.86P…

Q: The error in diameter of a sphere (in millimeters) follows the probability density function f(x) =…

A:

Q: The amount of time required to serve customer at a fast food restaurant has an exponential density…

A:

Q: Substitute the vaiue u = 25 into the equation for a. a %3D .04 So, substituting this value into the…

A: Given that, μ=25. The the value of a is, a=125a=0.04 Now, substituting the value into the…

Q: Part 2 Assume that the probability density function is f(x) = 2.0 for an interval of length 0.5…

A: Given  The data is as follows: PDF; fx=2.0  for an interval of length 0.5 meters

Q: A continuous random variable X has a normal distribution with mean 6. The probability that X takes a…

A: Given information Mean (µ) = 6 P(X &gt; 15) = 0.38 P(Z &gt; z) = 0.38 P(Z &lt; z) = 1 – P(Z&gt;Z) =…

Q: ilometers from home (along the road) is a. What is the probability that you dropped it within 1…

A: Solution

Q: The random variable X models the loss in thousands of dollars due to a fire in a commercial…

A: As given above that the random variable X with density function as:…

Q: According to AAA, the average price for a gallon of regular gas in North Carolina is $2.63. Assume…

A:

Q: The graph to the right is the uniform probability density function for a friend who is x minutes…

A: The concept used in this situation is uniform distribution. The uniform distribution is sometimes…

Q: Given the probability density function f(x) = over the interval (1, 3], find the expected value, the…

A: Given that!  f(x) = 1/2  at (1, 3)  By using expectation and variance rule we solve this problem.

Q: A continuous random variable X has a normal distribution with mean 62. The probability that X takes…

A: µ = 62. P(X &gt; 65.8) = 0.12

Q: There are 3 quarters and 2 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If…

A: An random experiment of picking 2 coins from a coin pouch containing 3 quarters, 2 dimes and 1…

Q: The probability density function for the length of time of postal clerk spends with a customer…

A: