A lot contains 20 articles. The probability that the lot contains exactly two defective articles is 0.4 and the probability that it contains exactly 3 defective articles is 0.6. Articles are drawn from the lot at random one by one without replacement and are tested till all defective articles are found. Then find the probability that the testing procedure ends at the twelfth testing.

Q: Assume that when adults with smartphones are randomly​ selected, 52​% use them in meetings or…

A: Given,n=5p=0.52Let X=no.of adults use their smartphonesin meetings or classes.X~Binomial(n=5 ,…

Q: Assume that when adults with smartphones are randomly​ selected, ​59% use them in meetings or…

A: The probability that exactly 3 of them use their smart phones in meetings or classes is obtained…

Q: Assume that when adults with smartphones are randomly​ selected, 37​% use them in meetings or…

A: We have given that,  Probability (p) = 37% = 0.37 . n = 9 . And x=2 .

Q: A manufacturing machine has a 9% defect rate. If 5 items are chosen at random, what is the…

A: Given that, A manufacturing machine has a 9% defect rate. Sample size = 5

Q: A committee executive board is to be selected at random from a group of 10 people; 5 women and 5…

A: Given: Number of women = 5 Number of men = 5 Total people = 10

Q: Four cards are chosen from a standard deck of 52 playing cards with replacement. What is the…

A:

Q: There are 66 bulbs in a house out of which 13 are defective. If 22 bulbs are picked at random, find…

A: Given that  Total bulbs=66 Defective bulbs=13 Not Defective bulbs=53 22 bulbs are selected at random…

Q: Determine the probability of drawing 5 black cards in a row (with replacement) from a standard deck.

A:

Q: The probability of a product which is defective is 0.48. Out of 10 products, what is the probability…

A: We have to find given probability.

Q: use them in meetings or classes. If 10 adult smartphone users are randomly​ selected, find the…

A: 10 adult smartphone users are randomly selected and 49% use them; n=10 p=0.49

Q: The student registration numbers from 1 to 20 are mixed up and one registration number is drawn out…

A: Given n = 20 hence  n(S) = 20 Probability = favourable outcomestotal outcomes

Q: You are pulling from a bag containing 9 blue marbles, 8 black marbles, 8 green marbles, and 3 yellow…

A:

Q: A bag contains 9 metal balls, 10 hollow balls, 4 glass balls and 18 plastic balls. What is the…

A:

Q: In a small private​ school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: A 4-sided die can be used to select a number at random from the numbers 1, 2, 3, 4.  Suppose you…

A:

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given  Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: A box of 50 diodes contains 10 defective diodes. Suppose 10 diodes are selected at random and…

A: There are 50 diodes and 10 are defective in them and 10 are selected for inspection, let X be the…

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: A fair coin is tossed 5 times. Compute the probability of tossing 5 heads in a row.

A: Probability is the chance of occurrence of an event. A fair coin is tossed 5 times. For each toss,…

Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e…

A:

Q: During the year about 15 percent of the population carry the flu virus. Supposed that 5 children…

A:

Q: 14 persons are seated around a circular table. Find the that 3 particular persons always seated…

A:

Q: a small private school, 4 students are selected from 16 available students. What is the probability…

A: Given data, Total Number of students n=16 Number of students selected is r=4 What is the probability…

Q: In a small private​ school, 4 students are randomly selected from 18 available students. What is the…

A: Solution: Given information: n= 18 available students  4 students are randomly selected.

Q: In a class of 27 students, 7 wear glasses. 3 students are picked at random. Find the probability…

A: 7 wear glasses20 not wear glasses______________________27 total students in class select 3 students…

Q: Assume that when adults with smartphones are randomly​ selected, 41%use them in meetings or classes.…

A: From the provided information, Sample size (n) = 6 Assume that when adults with smartphones are…

Q: In a study done in my chicken coop, 82% of my birds enjoy eating earwigs. Choose 7 birds at…

A: Let X denote the number birds enjoy eating earwigs. Then X follows a Binomial distribution with n=7…

Q: According to the historical data, the life expectancy in Argentina is equal to the life expectancy…

A:

Q: Four cards are chosen from a standard deck of 5 playing cards with replacement. What is the…

A: Solution-: Four cards are chosen from a standard deck of 52 playing cards with replacement. What is…

Q: A tire shop has 200 tires in stock.  Assume that 15 of these tires are defective.  You randomly…

A: Given that, Sample size n=3 Probability of tires that are not defective p=200-15200=185200=0.925

Q: Assume that when adults with smartphones are randomly​ selected, 53​% use them in meetings or…

A: given data P(use smartphone in meeting or class) = p = 0.53sample size (n) = 5x = no. of adults use…

Q: Assume that when adults with smartphones are randomly​ selected, 49​% use them in meetings or…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 55​% use them in meetings or…

A: It is given that n = 12 and p = 0.55.

Q: A manufacturing machine has a 2% defect rate. If 7 items are chosen at random, what is the…

A: Let us denote  X=the number of items that are defective n=number of trials=7 p=probability of…