4. The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 60% chance the weather will be good tomorrow, a 30% chance the weather will be indifferent, and a 10% chance the weather will be bad. If the weather is indifferent today, it will be good tomorrow with probability 40 and indifferent with probability .30. Finally, if the weather is bad today, it will be good tomorrow with probability 40 and indifferent with probability .50. a. What is the stochastic matrix for this situation? b. Suppose there is a 50% chance of good weather today and a 50% chance of indifferent weather. What are the chances of bad weather tomorrow? c. Suppose the predicted weather for Monday is 40% in- different weather and 60% bad weather. What are the chances for good weather on Wednesday?

Q: Three bad bulbs get mixed up with seven good ones. If you take five of them, what is the probability…

A: Given that there are 3 bad bulbs and 7 good bulbs.  So total (3+7)=10 bulbs   We can pick any 5…

Q: A bag contains 6 red jelly beans, 4 green jelly beans, and 4 blue jelly beans. If we choose a jelly…

A: Obtain the probability that the first jelly bean will be green and the second will be red.   The…

Q: In a class of 22 students, 5 have a brother and 13 have a sister. There are 2 students who have a…

A: class of 22 students 5 have brother  13 have sister 2 have brother and sister   P(have sister | have…

Q: Dunbar High School has 200 seniors of whom 140 will be attending college next year.  40 will be…

A: Given that, Dunbar High School has 200 seniors of whom 140 will be attending college next year. 40…

Q: If Person A has 12/13 probability of telling a truth and Person B has a probability of 13/14 of…

A: Given : P(A)= 12/13 P(B) =13/14

Q: In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not…

A: From the given information,    Total number of students, n= 25 Let,     A be students have brother…

Q: Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that…

A: Given information- We have given that it is equally likely for a child to be a boy or a girl.…

Q: Suppose that you have randomly picked up TWO students. In a class, there are 1 freshman, 7…

A: It is required to find the probability that, none of the two randomly selected students is a…

Q: A student owns 15 pencils, 9 are mechanical pencils and 6 are wooden pencils. They pull a pencil out…

A: Given that Total number of pencil = 15 Mechanical pencil = 9 Wooden pencil = 6 We have to calculate…

Q: Kym, Chris and Lee want to trave routes pass along their road and, wl that comes along. At any given…

A: Three passengers Kym, Chris, and Lee travel to the town  Bus Routes The probability of reaching…

Q: This problem involves inspection at a widget factory. Assume that a box contains 2 defective widgets…

A: Answer:- Given that a box contains 2 defective widgets and 15 acceptable widgets.  So, Probability…

Q: In Bill the Boring's dryer there are 15 black shirts, 7 gray shirts, 9 black sweaters, and 6 gray…

A: Given problem Given that   In Bill the Boring's dryer, There are 15 black shirts 7 gray shirts 9…

Q: Suppose you have 2 identical green socks, 4 identical red socks, and 14 identical purple socks. If…

A: Given,no.of green socks=2no.of red socks=4no.of purple socks=14Total no.of socks=20

Q: A bag of marbles contains 6 red, 10 white, 7 brown, 2 blue, and 9 green. If we select a marble and…

A: From the provided information, A bag contains 6 red, 10 white, 7 brown, 2 blue and 9 green marbles.…

Q: small café has nine tables and two servers each assigned to specific tables – Bill has 5 tables and…

A: Given: Total number of tables = 9 Number of Bill's tables = 5 Number of Frank's tables = 4 Number of…

Q: You fly from Detroit to Destin, Florida with a connection in Dallas. The probability that your…

A: Given that

Q: Urn 1 contains 2 red and 8 white balls. Urn 2 contains 5 red and 4 white balls. A ball is drawn from…

A: Given that Urn 1 contains 2 red and 8 white balls. That is, the total number of balls in Urn 1 is…

Q: Suppose there were 4,065,014 births in a given year. Of those births, 2,081,287 were boys and…

A: Boys=2,081,287 Girls=1,983,727 Total=4,065,014

Q: Assuming that boy and girl are equally likely, what would Kathy's probability of having three…

A: Boy and girl are equally likely  therefore P(boy)=P(girl) = 0.5no. of children : n = 4x = number of…

Q: suppose we draw one card from a standRD DECK. WHAT IS THE PROBABILITY THAT WE GET A RED CARD OR…

A: A deck consists of 52 cards. Let A be event that card is Red card. n(A)=26 B be event that card is…

Q: Dunbar High School has 200 seniors of whom 140 will be attending college next year.  40 will be…

A:

Q: In a certain town it is known that 16% of families have no children, 34% have 1 child, 23% have 2…

A: There are 16% of families have no children, 34% have 1 child, 23% have 2 children, 17% have 3…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.