On the average, two tornadoes hit major U.S. metropolitan areas every year. What is the probability that (a) exactly three tornadoes , (b) at most one tornado, occur in major U.S. metropolitan areas next year?

Q: a coin is tossed three times, what is the probability that the last two tosses do not show the same…

A: If coin is tossed three times, Then sample event are as following : (T,T,T) , (T,T,H) , (T,H,T) ,…

Q: on a tropical day at the beach in southern California, a beachgoer will encounter 12 different…

A:

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: If a poker hand of 5 cards is drown from a deck of 52 cards what is the probability that it will…

A:

Q: Two coins are tossed simultaneously. What is the probability of tossing two heads?

A: When a coin is tossed there are two possible outcomes heads (H) and tails (T). When three coins are…

Q: A pair of 6 sided dice are tossed. What is the probability that at least one of the dice has a value…

A: GivenA pair of 6 sided dice are tossed

Q: An office receives 20 faxed orders every two hours. What is the probability that it will receive 8…

A: Given: Number of order every two hours = 20 So, number of orders every hour = 202=10 Let X be the…

Q: If team B is the underdog in playing team C and has probability 1/4 of winning every game it plays…

A: The probability of team B winning the game is, P(B)=14The probability that team C wins every game it…

Q: If three balanced dice are rolled, whats the probability that all three dice will be the same?

A:

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A:

Q: If two coins are tossed at once, what is the probability of getting only one head?

A: Probability of an event is the ratio of number of favourable outcomes to total number of possible…

Q: Two dice are rolled simultaneously. What is the probability that the two scores are different?

A:

Q: The Philippines Institute of Volcanology and Seismology (PHIVOLCS) records an average of 20…

A: Given,The average no.of Earthquake a day(λ)=20Let X=no.of Earthquake a…

Q: What is the probability of no failures in a given day? b. What is the probability of one or more…

A:

Q: If the probability of being hit by lightning is 1 in 1,000,000, what is the probability of not…

A: Given that , P (being hit by lightning) = 1/1000000 =0.000001

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: A pair of die is rolled. What is the probability that the number 4 appears

A:

Q: If two coins are tossed, what is the probability of getting both heads

A:

Q: A class of 25 students is taking a course in Western Civilization on a​ pass/fail basis. The course…

A: Define the random variable x as the number of students that will pass the course. Here, the number…

Q: Sylhet experiences 7 earthquakes, on average in every six-months. a. What is the probability that…

A: Given on average 7 earthquakes in every six months7 per  6monthsper month = 76  per…

Q: On the average, two tornadoes hit major U.S. metropolitan areas every year. What is the probability…

A: 8. Given that the average number of tornadoes hit major U.S metropolitan areas every year is 2. Let…

Q: One bag contains 4 white balls and 3 black balls, and a second bag contain 3 white balls and 5 black…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: If one card is randomly chosen from a standard deck, what is the probability that a six or a king is…

A: Given information- We have given an ordinary deck of cards. In an ordinary deck consist of 52 cards.…

Q: horse race has 10 entries and one person owns 2 of those horses. Assuming that there are no​ ties,…

A: Number of ways in which 2 horses are chosen from 10 entries for first and second position.

Q: On an average, there are 2 visits to a supershop per minute. What is the probability that the…

A: Givenon average 2 visits to a supershop per…

Q: In a city a meteorologist finds that the under certain atmospheric conditions, rain resulted 81…

A: Given,In a city a meteorologist finds that the under certain atmospheric conditions, rain resulted…

Q: If two dice are thrown together, what is the probability of getting an even number on one dice and…

A: Given : Let E be the event of getting an even number on one die and an odd number on the other.Let…

Q: When a pair of dice is thrown 20 times, what is the probability of getting doubles at least once?

A: There are 6 sides in a die. So, if a die is thrown then total number of outcomes = 6 So, total…

Q: Two distinguishable (for example, one blue one green) six-sided dice are rolled. Find the…

A: The points where it is possible are (1,3),(3,1),(2,2). The total number of possiblities are 36.

Q: Rainfalls occur randomly and independently over the course of Metro manila. The average is 6…

A: Given that  The average rainfall every month=6 X~Poisson(λ=6)

Q: The monthly incidence of necrotizing fasciitis in the U.S. is 50 cases. The population of the U.S.…

A: Solution: It is given that the monthly incidence of necrotizing fasciitis in the U.S. is 50 cases.…

Q: Suppose there is an average of one error per ten pages in each book published by a particular…

A: (1)   Let us define the random variable Y as the of number of errors and follows Poisson…

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.