The two dams are identical with the exception that the water reservoir behind dam A extends twice the horizontal distance behind it as that of dam B. Which one of the...

Find the equilibrium vector for the transition matrix below $$\begin{bmatrix}0.4 & 0.4 & 0.2\\\\0.2 & 0.2 & 0.6 \\\\ 0.4 & 0.3 & 0.3\end{bmatrix}$$

Suppose Johnson Dry Cleaning (J) has a 40% market share initially, while NorthClean (N) has a 60% market share. Use the corresponding initial probability vector and the given...

A small town has only two dry cleaners, Johnson and NorthClean. Each customer brings in one batch of clothes per week to one of these cleaners. The following transition matrix...

Suppose that a family has 3 children. Also, suppose that the probability of having a boy is 1/2. Find the probability that the family has at least 2 boys.

The chickens at Colonel Thompson's Ranch have a mean weight of 1850 g, with a standard deviation of 150 g. The weights of the chickens are closely approximated by a normal...

A company claims that 93% of its cereal boxes have at least as much cereal by weight as the amount stated on the box. a. At a quality control checkpoint, one box out of a...

The lifetime of a machine part has a continuous distribution on the interval (0, 60) with probability density function f, where f(x) is proportional to (10 + x) -2. Calculate...

In a certain lottery, 6 white balls from a drum with 14 balls and 1 red ball from a dmm with 38 balls are selected. For a $2 ticket, players get one chance at winning the... 1 answers and 30 views Asked by 2 months ago What is the probability that at least 2 people have the same birthday in a group of 16 people? Assume that there are 365 days in a year. 1 answers and 6 views Asked by 2 months ago In a certain Algebra and Trigonometry class, there are 18 freshmen and 26 sophomores. Of the 18 freshmen, 14 are male, and of the 26 sophomores, 20 are male. Find the... 1 answers and 5 views Asked by 2 months ago Find the probability of the event P(A$\cup$B) if P(A) = 0.23 , P(B) = 0.25, and P(A$\cap\$ B) = 0.17.

Two fair dice are rolled. Determine the probability that the sum of the two dice is 6.

Determine the probability of having 5 boys in a 5-child family. Assume equally likely outcomes.

A coin is weighted so that tails is 5 times as likely as heads to occur. What probability should we assign to tails? to heads?

An urn contains 4 white balls and 5 red balls. Four balls are selected. In how many ways can the 4 balls be drawn from the total of 9 balls: (a) If 3 balls are white and 1...

How many different 12-letter words (real or imaginary) can be formed from the letters in the word TRIGONOMETRY? There are __ different 12-letter words that can be formed

A student dance committee is to be formed consisting of 3 boys and 2 girls. If the membership is to be chosen from 8 boys and 7 girls, how many different committees are...