Assume that the normal distribution can be used to approximate the following binomial distribution question.   A survey of adults found that​ 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts​ (a) and​ (b).   ​(a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. ​(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33.   ​(Round to four decimal places as ​needed.)

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A: The question is about conditional probabilityGiven :To find :a ) Prob. that a rand. selected student…

Q: 55% of college graduates know the name of the Secretary of State for the U.S. You randomly select 5…

A: (a) Obtain the mean of the binomial distribution. The value of the mean is obtained below: Let X…

Q: A group of people were asked if life exists elsewhere in the galaxy. 140 responded "yes", and 324…

A: It is given that, 140 responded "yes" and 324 responded "no" about life exists elsewhere in the…

Q: About 3% of children in the United States are allergic to peanuts. Choose three children at random…

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Q: The probability that it's going to be sunny and that Shany will go to the beach is 0.5. Shany goes…

A: Probability is the measure the occurrence of variable. When the event is already occurred based on…

Q: 3. A surgical technique is performed on ten patients. You are told there is an 83% chance of…

A: Givenn=10p=0.83

Q: In a large population, 59% of the people have been vaccinated. If 5 people are randomly selected,…

A:

Q: A group of people were asked if statistics teachers know the true meaning of life. 338 responded…

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Q: Ahmed receives a weekly salary of $250, plus an additional $300 for each car sold. Find the mean and…

A: Salary=250 and 300 additional for each car sold. Salary = 250 + x*300  x = number of car sold

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A:

Q: Android Users Iphone Users Total   Ages 18 – 30 405 653 1058   Ages 31 – 40 687 538 1225…

A: Given the sample of age groups compared to android and iPhone users To find:  The probability of…

Q: 36% of U.S. adults say they are more likely to purchase during a sales tax holiday. You randomly…

A: I will use excel formula "=BINOM.DIST(x, n, p, FALSE)" to find the probability. x n p Excel…

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A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A health instructor surveyed all his students, and tallied the results. The first survey questior…

A: The total number of students is 1+6+5+6=18.

Q: (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old…

A: (a) The probability formula is, Probability=Number of favourable outcomesTotal outcoms There are…

Q: The accompanying table shows the numbers of male and female students in a particular country who…

A:

Q: Why might this result be considered misleading? Select all that apply i selected a and c . Got some…

A: Statistical inference plays a major role in day to day life. It is important in analysis.Option a)…

Q: The data in the table represent the number of consumer complaints against major U.S. airlines. If…

A: total complaints =285+252+294=831

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A:

Q: A survey of adults in a region found that 37​% name professional football as their favorite sport.…

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

Q: n = 143 is the number of M&Ms in my bag and x =6 is my count for Green M&Ms. Using the sample of n…

A: Answer :- Given,  n = 143 is the number of M&Ms in my bag                  and x =6 is my count…

Q: If the probability that a randomly chosen college student takes statistics is 0.34, then what is the…

A: The probability that a randomly chosen college student takes statistics is 0.34. The probability…

Q: The accompanying table shows the numbers of male and female students in a particular country who…

A: The table shows the number of male and female students in a particular country who received…

Q: he proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given that The proportion of eligible voters in the next election who will vote for the incumbent is…

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A: Given , n =100 Tom wants to determine how many cars that come off a Ford assembly line are defective…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Solution: From the given information, n = 410 and p = 0.527.

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A: There are 3 children.

Q: A population proportion is 0.5. Suppose a random sample of 658 items is sampled randomly from this…

A: Given that : Population proportion =0.5 Random Sample =658

Q: Find the​ mean, variance, and standard deviation of the binomial distribution for the random…

A: Given:number of trials n = 5probability of success  = 62% = 0.62 The random variable represents the…

Q: The table below shows the probability distribution of job satisfaction scores (1 - 4) for a group of…

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Q: A company is conducting a survey to determine how prepared people are for a long-term power outage,…

A: Given data; Response Frequency very prepared 260 somewhat prepared 993 not too prepared 529…

Q: The table below is a legitimate probability model for the number of cars in a randomly-selected…

A: Let , the random variable X be the number of cars in a randomly selected household in the United…

Q: A group of people were asked if statistics teachers know the true meaning of life. 201 responded…

A:

Q: You want to know the probability that you will select a king of any suit from a deck of cards. You…

A: Relative Frequency :  The relative frequency of an event is defined as the number of times that the…

Q: GMC automobiles come in the following colors and are manufactured in these percentages. White(.46),…

A: The objective of this question is to find the probability that two cars selected at random are of…

Q: (a) Find the probability that a randomly selected student is male, given that the student received a…

A: It is given that the table shows the number of male and female students in a particular country who…

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.