Suppose that in a certain small town it either rains or IS sunny every day. A meteorologist notes that when it is sunny in this town, it will be sunny the next day with probability 0.4. If it rains, it will be sunny the next day with probability 0.7. Answer the following questions: 1. What is the probability that it will rain the next day if it was sunny the previous day? .6 2. Suppose that the weatherman estimates there is a 90% chance of showers today. Find the probability vector representing this estimation where the state 1 is sunny and state 2 is rainy. 3. Based on the meteorologist's estimation, what is the chance of rain tomorrow? 4. Based on the meteorologist's estimation, What is the chance of rain two days from now?

Q: ed States is 312 million people. ause Deaths car occupant 13,100 e driver | 4,500 553 56

A: In this question, concept of Probability is applied. Probability The ratio of the number of…

Q: If an aircraft is present in a certain area, a radar detects it and generates an alarm signal with…

A: Let us define some events A : an aircraft is present in an area. B : an aircraft is not present in…

Q: Based on previous weather records, the probability that the city of Calgary will have a "White…

A: Given: Probability that the city will have a White Christmas on Dec 25th is 25=0.4

Q: Suppose that the average GPA of all students in a large university is 2.8 and the s. d. is  0.65. 49…

A: From the provided information, Mean (µ) = 2.8 Standard deviation (σ) = 0.65 Sample size (n) = 49

Q: Delta Airlines' flights from Boston to Seattle are on time 60 % of the time. Suppose 10 flights are…

A: For a defined random variable, X~B(n,p), the pmf is P(X=x)=nCxpxq(n-x) ; x=0,1,2,..n…

Q: Suppose that in a year of 365 days, it rains on 34 days. There is lightning on 19 days. There is…

A: Given that ; N = 365 days Rains = 34 days  Lighting = 19 days  Both = 12 days By using the basic…

Q: Suppose we flip a fair coin 50 times. What upper bound does Chebyshev's Theorem give for the…

A: Chebyshev's Theorem estimates the minimum proportion of observations that fall within a specified…

Q: The probability that it will rain on a given day is 0.23. What is the probability that it will not…

A: The probability that it will rain on a given day is 0.23 P(Rain) = 0.23 We know that , complement of…

Q: 3. If the she makes he third free throw, what is the probability she makes her fifth free throw? .74…

A: (4) claim if she misses her first free throw, what is the probability she also misses her third and…

Q: Delta Airlines' flights from Boston to Seattle are on time 60 % of the time. Suppose 9 flights are…

A: Given : Delta Airlines flights from Boston to Seattle are on time 60% Let p : Proportion of flights…

Q: Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: A carton weighing 250 pounds breaks 1 out of every 5 tables it is placed on. If a carton weighs 300…

A: we only know that a carton weighing 250 pounds breaks 1 out of every 5 tables it is placed on. We…

Q: It has been shown that the probability of a plane arriving on time at the Albany International…

A: Let us denote X= the number of planes which arrives on time at the Albany International Airport…

Q: Suppose that in a certain small town it either rains or is sunny every day. A meteorologist notes…

A: Given Solution:

Q: A basketball player is known to make 85% of their free throw shots. If she is allowed to take 20…

A: A basketball player is known to make 85% of their free throw shots; p=0.85 There are 20 shots; n=20

Q: Suppose it has been observed that an average of six vehicles passes by their house per minute on…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: There is a probabilty that FRED will play golf this weekend is 0.5.  The probability that he will…

A:

Q: Delta Airlines' flights from Denver to Atlanta are on time 50 % of the time. Suppose 14 flights are…

A:

Q: Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial…

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: It has been shown that the probability of a plane arriving on time at the Albany International…

A: Let us denote X= the number of planes which arrives on time at the Albany International Airport…

Q: 23. BONUS: Magdalena rolls an 8 die and then Joe gets three chances to roll a 6-die and get greater…

A: The cartesian product of the individual sample spaces for an 8 side die and 6 side die will have {1,…

Q: 1 be a probability? Can the value

A: Yes

Q: The local weather forecaster predicts that there is a 12% chance of rain on each day next week.…

A:

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.