Questions from Engineering Statistics


Q: The amount of kerosene, in thousands of liters, in a

The amount of kerosene, in thousands of liters, in a tank at the beginning of any day is a random amount Y from which a random amount X is sold during that day. Suppose that the tank is not resupplied...

See Answer

Q: Referring to Exercise 3.39, find (a)

Referring to Exercise 3.39, find (a) f(y|2) for all values of y; (b) P(Y = 0 | X = 2). Exercise 3.39: From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4 pieces o...

See Answer

Q: Let X denote the number of times a certain numerical control machine

Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call....

See Answer

Q: Suppose that X and Y have the following joint probability distribution:

Suppose that X and Y have the following joint probability distribution: (a) Find the marginal distribution of X. (b) Find the marginal distribution of Y.

See Answer

Q: Three cards are drawn without replacement from the 12 face cards (

Three cards are drawn without replacement from the 12 face cards (jacks, queens, and kings) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y the number of jacks. Fi...

See Answer

Q: A coin is tossed twice. Let Z denote the number of

A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses. If the coin is unbalanced and a head has a 40% chance of occurring, find (a)...

See Answer

Q: Given the joint density function / find P

Given the joint density function find P(1

See Answer

Q: Determine whether the two random variables of Exercise 3.49 are

Determine whether the two random variables of Exercise 3.49 are dependent or independent. Exercise 3.49: Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, o...

See Answer

Q: A homeowner plants 6 bulbs selected at random from a box containing

A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs and 4 daffodil bulbs. What is the probability that he planted 2 daffodil bulbs and 4 tulip bulbs?

See Answer

Q: Determine whether the two random variables of Exercise 3.50 are

Determine whether the two random variables of Exercise 3.50 are dependent or independent. Exercise 3.50: Suppose that X and Y have the following joint probability distribution:

See Answer