Example 3: Ryan lives in a city where there is a 30% chance of rain every single day of the year regardless of what the weather was the day before. Suppose Ryan decides to record whether or not it rains for 2 straight days. a) What is the probability that it rains both days? b) What is the probability that it doesn't rain either day?

Q: 1. At UOHB, 5% of all students play football and basketball, 32% of all students play football. What…

A: P(A|B)= P(A∩B)/P(B) Where  P(A|B)=probability of event A occurring given that event B has already…

Q: 1. Nexus Accounting Firm receives on average of 7 clients per day. What is the probability that the…

A:

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

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Q: If out of 1000 houses only 1 house cathches fire in a year. What is the probability that out of 500…

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Q: For a certain manufacturing process it is known that, on the average, 10% of the items are…

A: Probability of defective item= 10% Probability of non defective item= 90%  As 1st trial, 2nd trial…

Q: In a certain​ country, the true probability of a baby being a boy is 0.514. Among the next eight…

A: Given: p(B)=0.514 The probability of being a girl is determined as p(G)=1-p(B)=1-0.514=0.486 n=8 X=…

Q: If birthdays are equally likely to fall on any day, what is the probability that a person chosen at…

A:

Q: In a certain​ country, the true probability of a baby being a boy is 0.45. Among the next seven…

A:

Q: If a person randomly picks and buys one of the four newsletters in the street each morning. What is…

A:

Q: (a) Suppose that 10 % persons in a large group of people are obese. If persons are checked one by…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If 20% of the bolts produced by a machine are defective, determine the probability that out of 6…

A: Given: p=20%=0.20n=6

Q: Example 5: Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If…

A: Answer: From the given data,

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that  Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, 20% of people own dogs. Sample size = 2

Q: Suppose I toss a fair coin, and the first toss comes up heads. If I keep tossing the coin until I…

A:

Q: If eggs are laid and there is a 70% chance of them hatching   If there are 8 eggs, what is the…

A: It is an important part of statistics. It is widely used.

Q: In a roundabout it occurs, on an average, 48 accidents a year. What is the probability that in the…

A: Given: Average number of accidents λ = 48 per year. Formula Used: Poisson distribution:  If a random…

Q: Suppose that a certain type of magnetic tape contains on the average three defects per 1000 feet.…

A:

Q: A fair coin is flipped six times. What is the probability that heads occurs exactly 5 times if it is…

A: Here, fair coin is flipped. hence, p=0.5 and q=0.5.The probability that heads occurs exactly 5 times…

Q: What is the probability that the city will be hit by a tornado next year?

A: Studies show that historically a certain city is hit by a tornado about once every 5 years. so here…

Q: In a citrus orchard, it is found out that 15% of them are affected by a particular disease. find the…

A:

Q: In a certain country, the true probability of a baby being born a boy is 0.525% Among the next four…

A: Given that, Probability that a baby being born a boy is 0.525 Now, from the next four randomly…

Q: 3. The Philippine Institute of Volcanology and Seismology (PHIVOLCS) records an average of 20…

A: Solution

Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: In a certain​ country, the true probability of a baby being a boy is 0.515. Among the next nine…

A: The true probability of a baby being a boy is 0.515.   Suppose, X be the number of girls born out of…

Q: A sequence of two playing cards is drawn at random (without replacement) from a standard deck of 52…

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The…

Q: Suppose 30% of smoke alarms produced by a company are defective. A family purchases 3 smoke alarms…

A:

Q: In a certain​ country, the true probability of a baby being a girl is 0.485. Among the next seven…

A:

Q: Internet sites often vanish or move, so that references to them can’t be followed. In fact, 13% of…

A: Given data: Probability  = 0.13 Sample size  = 7 To calculate: what is the probability that at least…

Q: If a pair of dice is tossed 6 times, what is the probability of obtaining of 7 or 11 twice, a…

A: Here, a pair of dice is tossed 6 times. The total number of possible outcomes is 36. The total of 7…

Q: .Two cards are drawn successively from a deck of 52 cards, what is the Probability that the first…

A:

Q: Suppose that 90% of bolts and 85% of nails meet specifications. One bolt and one nail are chosen…

A: a. The probability that both meet specifications is, Thus, the probability that both meet…

Q: If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up…

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Q: On average, 8.6 rooms stay vacant per day at a large hospital, Find the probability that on a given…

A: Given: Average number of rooms vacant per day λ=8.6. Let X be the Poisson random variable…

Q: 4. One prominent physician claims that 70% of those with lung cancer are chain smokers. If this…

A: Given problem is :

Q: Suppose on a given day, there is a 23% chance Emily will forget her wallet when going to work. What…

A: Introduction: Denote X as the random variable of interest here, which is the number of days that the…

Q: 2. Wanda receives on average 8 messages from Vision in a 3 hour period. What is the probability that…

A: Given on average 8 messages from vision in a 3 hours periodλ=8 messages from vision in a 3 hours Let…

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…

Q: Example 2.24 In a city, suppose that only 60% of the people read a newspaper. What is the…

A: Let X be the number of reading the news paper  p be the probability of the people reading a news…

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner, suppose…

A: Binomial distribution: The probability mass function (pmf) of a binomial random variable X is given…

Q: Suppose that at a large university 30% of students are involved in intramural sports. If we randomly…

A: Obtain the probability that fewer than 5 of these students are involved in intramural sports. The…

Q: Studies show that historically a certain city is hit by a tornado about once every 5 years. What is…

A:

Q: Suppose Julia owns a pen manufacturing company and determines that 3 out of every 75 pens are…

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A classroom has five students wearing glasses and 16 students not wearing glasses. If we randomly…

A:

Q: Suppose that 73% of students in a college have a smart phone. If you select three students at…

A: Let success denotes one selected student have a smart phone. Then p=probability of success= 0.73…

Q: If a person does contract the disease, what is the probability that the person is of genotype AA?

A: Let us define some events A : the person is of genotype AA. B : the person is of genotype Aa. C :…

Q: If a seed is planted, and it has 75% chance of growing into a healthy plant and if 6 seeds are…

A: Given, p=75%=0.75 (Grow as healthy plant) q=1-p=0.25   If n=6 P(X=3) dont grow =?

Q: 15. Suppose a fast-food restaurant can expect 6 customers every 9 minutes, on average. a) What is…

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Q: A class has six students. What is the probability that at most four of the students were born on a…

A: We know that there are 7 days in a week. The number of weekdays=5 So the probability of having 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.