5) The odds in favor of Jack passing Math is 7:2. The odds in favor of Alex passing Biology is 11:4. Assume these are independent events. What is the probability that both will fail?

Q: (b) If an American female is selected at random, what is the probability that she is NOT red-green…

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A: Introduction: It is required to find the odds in favor of the event that only one of student O and…

Q: About 6% of the population of a large country is math phobic. If two people are randomly selected,…

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Q: a. What is the probability of three heads, H HH? b. What is the probability that you observe exactly…

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Q: (a) What is the probability that male desires architecture department? (b) What is the probability…

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Q: If a family has four children, is it more likely they will have two boys and two girls or three of…

A: Let X=the number of boysn=number of trials=4p=probability of success=12=0.5X follows a binomial…

Q: 1- You take a trip by air that involves three independent flights. If there is an 85% chance each…

A:

Q: a. A gambler states the “odds” against some event as 3 to 1. What is the probability that the event…

A: a) Given data: The given odd against some event is x=3:1. The expression for the odd against some…

Q: 2) Compute the probability of event E if the odds in favor of E are 11 to 9.

A: We will find out the required value.

Q: If the experiment is in state 1 on the third observation, what is the probability it will be in…

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

Q: 1. If two fair dice are rolled, what is the probability that the sum will be greater than or equal…

A: We first make a table for the outcomes when two dice are rolled. sum Outcomes Number of…

Q: If a single student is selected at random, what is the probability of "has a dog" OR "does not have…

A: It is given that Number of students with dog = 16 Number of students without cat = 78 Number of…

Q: e 5. If from a pack of cards, a single card is drawn, what is the probability that it is either a…

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Q: If 63% of the people at a certain conference are doctors, 48% are women, and 39% are doctors, what…

A: The following information has been given: The probability that people at a certain conference are…

Q: If a coin tossed four times, then what is the probability of getting either at least two heads or at…

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Q: there were 5 million births in a particular country and 3375 sets of naturally occurring triplets,…

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Q: and 3 are users of other drugs?(b) What is the probability that of 10 workers testing positive, all…

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Q: Will be (a) What is the probability that none of the balloons in a packet will be defective? (b)…

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A:

Q: 2) A class has seven students. What is the probability that exactly four of the students were born…

A: 2)Givenn=7p=57    (students born on Monday through friday in 7 days)Let "x" be the no.of students…

Q: (a) What is the probability that the first chip you draw is blue? (b) Suppose you drew a blue chip…

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

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Q: If a random student has studied German before, what is the probability they have also studied French…

A: We have given that the beginning of the school year a class of students are asked what foreign…

Q: (a) Suppose a mechanic begins to diagnose the problem by checking the spark plugs first and find…

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Q: 3) Suppose the probability of Kevin attending a party is 80% and the probability of Judy attending a…

A: Given: P( A) = P( kevin attend party) = 0.80 P(B) = P( judy attend party) = 0.95 Events A and B are…

Q: 6. If someone randomly chose there entrée and side, what is the probability they are/not having a…

A: Combination: Combination is nothing but the number of ways to choose r distinct objects from…

Q: 20. Suppose that 21% of people own dogs. If you pick two people at random, what is the probability…

A: Given,The probability people own dogs is 0.21

Q: 4. A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds.…

A: From the given information, Total time taken by traffic light is 80 seconds. For green it takes 45…

Q: What is the probability that a child expected from a certain family will be: a.) a boy b.) a girl.…

A: In this case, we need to find the probability that a child expected from a certain family will be a…

Q: 1. What is the probability that he chose a banana and then a dalandan? 2. What is the probability…

A: Here use basic probability  Probability = (#Favorable outcome)/(#total outcomes)

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

A: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

Q: In a class of 100 first year students, 54 studied English, 69 studied Filipino, and 35 studied both…

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Q: 1) If a family has four children, is it more likely they will have two boys and two girls or three…

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Q: In a moth population, 47 are brown, 15 are yellow, and 34 are black. What is the approximate…

A: There are three colors which are brown, yellow and black. We have to find the probability of a moth…

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Q: Suppose a pair of dice is rolled 1- What is the probability that both dice turn up the same ? 2-…

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Q: 1. In rolling two dice, what is the probability of landing same numbers?

A: Since you have posted multiple questions, we are answering the first one. if any doubt, kindly…

Q: In a coffee shop "Scratch and Win" contest, one out of three cards is a winner. What is the…

A: From the given information, one out of three cards is a winner. P(winner)=1/3 Let us consider, the X…

Q: a. What is the probability that the random selected person is a female? b. What is the probability…

A: Given:   Total number of person=n(S) =347

Q: 1) A jar contains 3 purple marbles, 1 red marble, and 5 blue marbles? a) What is the probability of…

A: Given Data: The number purple marbles is: p=3 The number of red marbles is: r=1 The number of blue…

Q: What is the probability that a five-card poker hand contains two pairs (that is, two of each of two…

A: Given What is the probability that a five-card poker hand contains two pairs

Q: (a) If two dice are rolled, what is the probability that the sum of the upturned faces will equal 7?…

A: The number of cases where the sum of upturned faces = 6 Total number of outcome = 36   The…

Q: the teachers’ room 60% are women; one in three women wears glasses and one in two men wears glasses:…

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Q: 2. The odds against The Toronto Argonauts winning the Grey Cup are estimated at 21 to 8. What is the…

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Q: What is the probability either Dan or Jill will go to the party?

A: Here given,  The odds in favor of Dan going to the party tomorrow is 11:3. The odds against Jill…

Q: From a standard deck of cards, a card is taken randomly. What is the probability  that it is a spade…

A: As per our guidelines we are suppose to answer only one questionGivenTotal no.of cards in a deck =…

Q: (a) What is the probability that a PC is in a bedroom? (b) What is the probability that it is not in…

A: here use given probability

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.