Mathematics Professor Mr. Y developed a 10-item multiple choice questions with five options in each item. If a certain student answers the questions by purely guessing, find the probability that a student will get: a. exactly 4 correct answers b. at most 3 correct answers c. at least 7 correct answers

Q: A game that draws 3 digits from 0-9 from three separate machines. What is the probability of winning…

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

Q: 60% of the employees in a specialized department of a large software firm are computer science…

A: Let X be a random variable denoting the number of computer science graduates. Use binomial…

Q: A student is taking multiple choice exam in which each question has four possible answers, exactly…

A: According to the given information, Pknowing=0.55 Pnot knowing=0.45 Pcorrect | knowing=1 Pcorrect |…

Q: A game that draws 3 digits from 0-9 from three separate machines. What is the probability of winning…

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

Q: 2.60 If 3 books are picked at random from a shelf con- taining 5 novels, 3 books of poems, and a…

A: 2.60 If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

Q: In the Illinois Pick 3 game, you win a bet by selecting three digits (with repetition allowed) and…

A: The total number of digits from 0 to 9 is 10.

Q: 13. The probability of passing a 100 problem test is 49%. If 5 people take the test, what is the…

A: We have given that,  X be the random variable from Binomial distribution with trails n= 5 and…

Q: A multiple choice exam has 10 questions, each with five possible answers, only one of which is…

A: Let us use the binomial expression, the formula is ∑k=0nCn,kpk~pn-k Here n=10…

Q: An automaker is concerned about the possible recall of its best-selling four-door sedan. If there is…

A: Introduction: Denote A as the event that there is a defect in the brake system, and B as the event…

Q: 10.(-is) Five people are in an endurance race. Suppose you randomly pick and bet on two of them.…

A: According to the classical definition of probability, the probability of an event is the ratio of…

Q: A state lottery involves the random selection of six different numbers between 1 and 31. If you…

A: Given that, A state lottery involves the random selection of six different numbers between 1 and 31.…

Q: 8. In a poker game consisting of five cards, what is the probability of holding 2 aces and 2 queens?

A: In the deck of cards, there are 52 cards. Among 52 cards, there are 4 aces and 4 queens. Remaining…

Q: A modified roulette wheel has 32 slota. ONE Slot is 0, another is 00, and the otheres are numbered 1…

A: 0 and 00 are neither odd nor even. In 1 through 30, there are 15 even numbers. So number of chances…

Q: There are eight female board members and twenty-two male board members. a. How many ways are there…

A: Given : No. of female board members (F) = 8 No. of male board members (M) = 22 Total board members…

Q: 60% of the employees in a specialized department of a large software firm are computer science…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: An undergraduate class has 24 biology majors and 17 chemistry majors. Eight students must be chosen…

A: The probability mass function for binomial distribution is: P(X=x) = nCxpx(1-p)n-x According to the…

Q: i. If he has the option to draw from only bag B1, what is the probability of drawing the four balls?…

A: First we define some events B1 : bag B1 is selected. B2 : bag B2 is selected. E : he choose 2 red…

Q: The digits of the number 1,776 are written on disks and placed in a jar. What is the probability…

A: It is given that the number is 1776.

Q: 1.) When three coins are flipped, what are the probability of getting * two tails and one head?___…

A: As per our guidelines we are suppose to answer only one question. if a coin is tossed 3 times than…

Q: 1. A test consist of 5 multiple choice questions with 4 choices each followed by 5 true-false…

A:

Q: 3. The weatherman reports that the probability of rain is 40%. What is probability that it will not…

A: 3. Given Data: P( rain)=0.4   To Find: P( no rain) P( no rain)=1-P( rain)                 =1-0.4…

Q: 23. A nontransparent bag contains five black beans, 1 ten red beans, and eight white beans. If a…

A:

Q: consider 10 tosses of a fair coin. What is the probability that the FIRST TWO are heads?

A: Given problem uses  the binomial distribution. Let ,  X  :  number of heads in 10 tosses. The…

Q: The Bureau of Labor Statistics reported that 64.9  million women and  74.6  million men were…

A:

Q: B. In Kim's homeroom, 4 students have no siblings, 9 students have 1 sibling, 8 students have 2…

A:

Q: A state lottery involves the random selection of six different numbers between 1 and 28. If you…

A: From the provided information, n = Total numbers = 28 Let x = selecting 6 numbers Total combination…

Q: In how many ways the word" Mississippi" be arranged?

A: As per our guidelines, we are allowed to answer one question per query. Please post next question…

Q: Suppose two fair dice are thrown. a. What is the probability the sum of the dice is at most 4? b.…

A: Let X be the sum of the numbers that appear on the face of the two dice. The sample space of this…

Q: Suppose a fair coin is tossed 5 times. (Enter your probabilities as fractions.) (a) What is the…

A:

Q: 29. Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario…

A:

Q: a. A set of playing cards has King of hearts and Queen of spades missing. In order to play mentioned…

A:

Q: 3. If you draw 5 cards from a deck of 52 at random, what is the probability of getting 5 different…

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

Q: 90​% of Dr.​ William's patients end up with​ 20-30 vision or better. Find the probability that…

A: Given data,n=7P=90%=0.90P(x=6)=?

Q: a) What is the probability of selecting students whose IQ ranges between 110 and 127? b) If you will…

A: The IQs of 100 students are normally distributed with a mean of 115 and a standard. deviation of 10.…

Q: If a child is given cards with A, C, D, G, 0, and T on them, what is the probability he or she could…

A:

Q: ou have a bag of cubes that contains 15 red cubes, 13 green cubes, 5 blue cubes and 3 purple cubes

A: Given that, You have a bag of cubes that contains 15 red cubes, 13 green cubes, 5 blue cubes and 3…

Q: 29. Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario…

A:

Q: 6. The probability that house in an urban area will be burglarized is 8.5%. If 45 houses are…

A: Note: Hi! Thank you for the question. As you have posted independent questions, according to our…

Q: In Sipadan, Malaysia, there is a national park where up to 100 dolphins can be found. Suppose we…

A: The total number of dolphins in the park is 100. a. Since the number of female dolphins is 10. The…

Q: 19 octahedra (like dice, but having 8 faces rather than 6) are rolled. What is the probability of…

A:

Q: . What is the probability of getting the first “three” in the 6th roll?  ii. How many times would…

A: here use geometric distribution

Q: 2) How many permutations of the word PROBABILITY start with a B and end with a vowel?

A: The number of letters in the word 'PROBABILITY' are 11 where B and I come twice. The number of…

Q: 46% of an insurance agents clients have life insurance, 40% have auto insurance and 28% have both…

A:

Q: A student organization contains 60% Democrats, 30% Republicans, and 10% independents. The…

A:

Q: 32. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario…

A:

Q: If a number is chosen from a set of three-digit numbers, what is the probability that the number is…

A: 3 digit numbers are ranging from 100 to 999

Q: A game that draws 3 digits from 0-9 from three separate machines. What is the probability of winning…

A: As per guidelines only first question has been answered if you need answers for the rest of the…

Q: 19 What is the probability of 3 Maya has a box of candies and will randomly choose one piece. The…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

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.