A fair die is rolled 4 times. What is the probability of having no 2 and no 6 among the rolls? Round your answer to three decimal places. (If necessary, consult a list of formulas.)

Q: A couple plans to have 12 children. Assuming that boy and girl births are equally likely. What is…

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Q: A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the…

A: It is given that the probability of throwing a strike for each curve ball pitch is 0.626. The…

Q: A coin is flipped 30 times. What is the probability of getting 15 or more heads? Round answer to 4…

A: Givensample size(n)=30p=12 =0.5                (i.e., getting head in a toss)Let "x" be getting…

Q: (b) If Jodie Meeks shoots two free throws, what is the probability that he misses both of them?…

A: Given information: Free throw shooting percentage=0.906. Let us assume the X signifies the number of…

Q: Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the…

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Q: A fair die is rolled four times. What is the probability that it comes up  1 at least once? Write…

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Q: About 13% of the population is left-handed. If two people are randomly selected, What is the…

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Q: At a particular college 10% of the students major in business, and are required to take a Statistics…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: A bag contains 43 U.S. quarters and seven Canadian quarters. (The coins are identical in size.) If…

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Q: What is the probability that team b wins the series ?

A: Given Data: P( A wins)=0.4 P( B wins)=0.6   Team A wins the first game

Q: The odds of a particular event occurring is 0.66. Determine the probability as a decimal rounded to…

A: We have to find probability.

Q: A bag contains 46 U.S. quarters and four Canadian quarters. (The coins are identical in size.) If…

A: Solution: From the given information, a bag contains 46 U.S. quarters and 4 Canadian quarters. Here,…

Q: An urn contains 5 red balls and 9 yellow balls. If Vince chooses 6 balls at random from the urn,…

A: It is given that Number of red balls = 5 Number of yellow balls = 9 Total = 14 Sample size = 6 The…

Q: People with type O-negative blood are universal donors.  That is, any patient can receive a…

A: Obtain the probability that at least one of them is a universal donor.   The probability that at…

Q: A quality control inspector has drawn a sample of 12 light bulbs from a recent production lot. If…

A: # given : sample size n=12  Proportion of defective=20%  The lot will be accepted if no of…

Q: What is the probability that at least two of five unrelated persons share the same birthday? (Round…

A: Using the complement rule, the probability that at least two people have the same birthday in a…

Q: According to a study conducted by a public health school, a child seated in the front seat who was…

A: Consider the given information.

Q: What's the probability that she eats ramen tomorrow?

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Q: A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on…

A: The sample space for given experiment can be written as: 1,1 1,2 1,3 1,4 1,5 1,6…

Q: It is estimated that 25% of all California adults are college graduates and that 31% of California…

A: From the provided information, 25% of all California adults are college graduates and 31% of…

Q: A fair die is rolled six times. What is the probability that it comes up 2 at least once

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: In a large population, 68% of the people have been vaccinated. If 5 people are randomly selected,…

A: Givenp=0.68n=5Let x be no.of people vaccinatedx~Binomial(n=5,p=0.68)P(X=x)=(nx)×px×(1-p)n-x   ;…

Q: In a certain college town, 35% of the students failed math, 17% failed chemistry, and 13% failed…

A: Let M be set of students failed in math and C be set of students failed in chemistry. Thus:…

Q: A bag contains 44 U.S quarters and six Canadian quarters. If seven quarters are randomly picked from…

A: Given that. Total quarters=44+6=50 U.S quarters=44 Canadian quarters=6 Find P(at least 1 Canadian…

Q: A manufacturing machine has a 1% defect rate. If 3 items are chosen at random, what is the…

A: It is given that n = 3 and p = 0.01.

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 12 seeds are planted,…

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Q: There are 15 female board members and 10 male board members. If a committee of 12 members is…

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Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is 7.

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Q: A pair of fair dice is rolled and the sum of the numbers noted. What is the probability that the sum…

A: we know that  A pair of fair dice is rolled then total number of outcomes is. 6 ×6= 36

Q: In a large population, 57% of the people have been vaccinated. If 5 people are randomly selected,…

A: Given p = 57% = 0.57 => q = 1 - p = 1 - 0.57 = 0.43 5 people are randomly selected => n = 5…

Q: A manufacturer finds that 1.5% of its products is defective. What is the probability that one of the…

A: It is given that the random variable X follows Binomial distribution with parameter p = 1.5% = 0.015…

Q: There are 14 red marbles, 9 white, and 10 black marbles in a box. What is the probability of…

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Q: Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the…

A: Number of spade n(S)= 13  Number of club n(C) = 13 Total cards n(T) = 52   It is given that the…

Q: Using a single die, what is the probability that four will land at least once after two rolls?

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Q: A card is drawn randomly from a deck of ordinary playing cards. What is the probability that the…

A: no.of club cards=13no.of king cards=4no.of club and king cards=1Total no.of cards=52

Q: If you roll 1 six sided die, what is the probability that you roll a number higher than 2? (Express…

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Q: A bag contains 46 U.S. quarters and four Canadian quarters. (The coins are identical in size.) If…

A: Given that the bag contains 46 U.S. quarters and 4 Canadian quarters. Total (46+4)=50 coins in the…

Q: A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. If…

A: Consider X as the number of successes (the lot passes inspection) out of the n = 19 light bulbs.…

Q: A factory produces candies, and 27% are blue. In the factory, the candies are randomly mixed…

A: Here we will use the concept of Binomial distribution  The PMF of the Binomial distribution is given…

Q: In a large on-the-job training program, half of the participants are female and half are male. In a…

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Q: Joe tosses a fair three-sided die 9 times. What is the probability he rolls all threes? If…

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Q: In a large population, 53% of the people have been vaccinated. If 4 people are randomly selected,…

A: Given data The Probability of people being vaccinated is, p = 0.53 The No of people randomly…

Q: If you toss a coin 6 times, what is the probability of getting exactly 3 Heads?  (Round to 3 decimal…

A: When a coin is tossed the probability of getting heads is 0.5 p=0.5 Number of times coin is tossed…

Q: A fair die is rolled three times. What is the probability that it comes up 4 at least once? Write…

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Q: a couple plans to have 10 children. assuming that boy and girl births are equally likely. what is…

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Q: According to a study conducted by a public health school, a child seated in the front seat who was…

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Q: seat who was wearing a seatbelt was 33% more likely to be killed in an accident if the car had an…

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Q: A twenty-sided die is rolled once. What is the probability of rolling a 20? (Round

A: Probability is the chance of occurrence for an event. It takes values from 0 to 1. According to the…

Q: (a) What is the probability that a sampled woman has four children? Round your answer to four…

A: Given data is  No.of children No.of women 0 12598 1 7467 2 11269 3 7038 4 3782 5 1820…

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.