From a lot of 15 missiles, 5 are selected at random and fired. If the lot contains 3 defective missiles that will not fire, what is the probability that all 5 will fire?

Q: 40% of the managers in an international company have traveled abroad, 50% of them can speak foreign…

A: Let event T:Manager travelled abroad event F:Manager can speak foreign language. PT=0.4 therefore…

Q: A very large pool consists of 26% Democrats, 33% Republicans, and the rest independents. What is the…

A: X~ Binomial (n , p)  p = 1 -.26-.33 = 0.41 ____________________________

Q: A customs inspector decides to inspect 3 of 16 shipments that arrive from Madrid by plane. If the…

A:

Q: Two light bulbs are selected at random from a lot of 26, of which 6 are defective. What is the…

A: We can select 2 light bulbs from 26 light bulbs in 26C2=325 waysThere are 6 defective light bulbs.…

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

Q: In an assembly of 200 people there approximately 2% of them are civil engineers. If we randomly…

A: Givenn=200p=0.02x=no.of people being civil engineersx~Binomial(n=200,p=0.02)P(X=x)=Cxn px (1-p)n-x…

Q: From a group of 9 boys and 12 girls, a committee of 4 students is chosen at random. a. What is the…

A: Given: 9 boys 12 girls Total = 12+9 =21 students

Q: if 14 jurors are randomly selected from a population where 44% are minorities, what is the…

A: Obtain the probability that 2 or fewer jurors will be minorities. The probability that 2 or fewer…

Q: In a lot of 50 light bulbs, there are 2 bad bulbs. An inspector examines five bulbs, which are…

A: At least 1 means 1 or 2 defective bulbs in this case.Let us denote X=the number of defective…

Q: A jar contains 4 red marbles, 8 green marbles and 12 white marbles. If a marble is drawn from the…

A:

Q: A very large pool consists of 28% Democrats, 32% Republicans, and the rest independents. What is the…

A: Given data: The given percentage of democrats is D=28%. The given percentage of republicans is…

Q: A bag contains 5 red marbles, 6 blue marbles and 3 green marbles. If three marbles are drawn out of…

A:

Q: out of 5 computer chips, 2 are defective, if we choose 3 from five compter chips, what is the…

A: Number of computer chips = 5 Number of defective chips = 2 Sample size = 3

Q: if a board is selected at a random, find the probability of picking up one that is defective

A: Given that Number of defective boards = 4 Number of good boards = 10

Q: about 38% of the population have blood type-O positive. If you randomly choose 4 people, what is the…

A: It is given that p = 0.38 and n = 4. The probability mass function of the binomial distribution is…

Q: In a recent poll, 23% of the respondents supported candidate A, 19% supported candidate B, 13%…

A: Introduction: The total sample size is n = 7. Denote x1, x2, x3, and x4 as the number of sampled…

Q: In a particular community, 60% of the voters are Democrats, and 40% are Republicans. 44% of the…

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Q: A box contains 20 DVDS, 4 of which are defective. If two DVDS are selected at random (without…

A:

Q: 7 people, including Dexter and Darwin, have put their name in a lottery to win free bagels. If 4…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A box contains 8 batteries, 3 of which are defective. What is the probability that, if a sample of 5…

A: Given that a box contains 8 batteries, 3 of which are defective.  Sample size = 5

Q: A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of…

A: Number of men=8 Number of women=8 The objective is to form a group of 8 members with half of these…

Q: n a lot of 25 molded parts there are 5 that are defective, if 3 are selected at random and without…

A: To find the probability that the three parts are defective:

Q: From a lot of 14 missiles, 5 are selected at random and fired. Suppose the lot contains 3 defective…

A: From the given information, total number of missiles N = 14. Number of missiles randomly selected n…

Q: In a lot of 20 batteries, 4 are defective. If 2 are chosen, determine the probability that both are…

A: Number of defective batteries=X= 4 Number of batteries in a lot=n=20 Number of non defective…

Q: A very large pool consists of 22% Democrats, 39% Republicans, and the rest independents. What is the…

A: Given, P(Democrats) = 0.22, P(Republicans) = 0.39, P(independent) = 1-0.22-0.39 = 0.39

Q: 4. From a lot of 10 missiles, 4 are selected at random and fired. If the lot contains 3 defective…

A:

Q: A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of…

A: Here , we have to form a committee of 8 members out of 16 people, including 8 men and 8 women . we…

Q: a marble is selected at random from a jar containing 6 red marbles, 5 yellow marbles, and 4 green…

A: Given,  containing 6 red marbles, 5 yellow marbles, and 4 green marbles Probability= no. Of…

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: We have given that Number of girls = 14 Number of boys = 12 Total students = 12+14 = 26 We have to…

Q: From a lot of 13 ​missiles, 4 are selected at random and fired. Suppose the lot contains 3 defective…

A: From the provided information, In a lot of 13 missiles 3 are defective that will not fire. So,…

Q: A family was randomly chosen from a set of families having four children. What is the probability…

A: From the given information. From the set of families having 4 children, a family was chosen at…

Q: A four-person committee is randomly selected from a pool of 19 Americans and 13 Canadians. What is…

A: No.of Americans = 19  No.of Canadians  = 13 Total no.of persons = 32 (i.e. 13+19) Consider that…

Q: Suppose that 65% of people are voting in the election. If you pick two people at random, what is the…

A:

Q: From a lot of 8 missiles, 4 are selected at random and fired. If the lot contains 3 defective…

A:

Q: A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: A lot contains twenty missiles, two are selected at random and fired without replacing the first. If…

A: Given information: Let X be the number of missiles that are defective. X follows hyper-geometric…

Q: A flashlight has 9 batteries, 5 of which are defective. If 5 are selected at random, find the…

A: The provided information are:Total number of batteries = 9Number of defective batteries = 5Number of…

Q: One-fourth of the female freshmen entering a Virginia College are out-of-state students. If the…

A: Binomial distribution is given by

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

A: From the provided information, Total books in a shelf = 5 + 3 + 1 = 9 If three books are picked at…

Q: One light bulb is selected at random from a lot of 140 light bulbs, of which 5% are defective. What…

A:

Q: if two students are randomly chosen from a group of 3 boys and 3 girls, what is the probability that…

A:

Q: In a box, there are 9 black ball pens and 3 red ball pens. If two ball pens will be taken randomly,…

A: Total number of ball pens in a box=12 Out of which 9 are black ball pens and 3 are red ball pens.…

Q: There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2…

A:

Q: In a bowl with 14 pieces of fruit, 6 are apples and 5 are oranges. If you randomly choose a piece of…

A: Definition of Probability: Probability of an event is number of favorable outcomes by total number…

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

A:

Q: A box contains 20 DVDs, 4 of which are defective. If two DVDs are selected at random (without…

A: Given,no.of defective DVDs=4no.of good DVDs=16Total no.of DVDs=20

Q: lected at rando

A: To find:  1) Probability for all four will fire. 2) Probability of at most two will not fire Total…

Q: A very large pool consists of 23% Democrats, 35% Republicans, and the rest independents. What is the…

A:

Q: A box contains 6 defective bulbs and 10 functional bulbs. If 4 bulbs are to be chosen at random what…

A: Given ,           no. of defective bulbs = 6           no. of functional bulbs = 10         Total no…