6. If three balls are selected at random without replacement, how many combinations are possible? If two balls are selected at random with replacement, what is the probability (to nearest 0.0001) of NOT getting Yellow on any of the picks?

Subjects are randomly selected for the National Health and Nutrition Examination Survey conducted by the National Center for Health Statistics, Centers for Disease Control and Prevention. The probability that someone is a universal donor (with group O and type Rh negative blood) is 6%. a) Another person that is also selected has an 8% group O and type Rh negative blood. On average, how many universal donors would we expect to be selected before the first person with this blood type? ?=?/?           ?=√?−?/??

A box of 8 cellphones contains two yellow cellphones and six green cellphones. Complete parts (a) through (d) below. a. If two cellphones are randomly selected from the box without replacement, what is the probability that both cellphones selected will be green? P(both green) = (Round to four decimal places as needed.) b. If two cellphones are randomly selected from the box without replacement, what is the probability there will be one green cellphone and one yellow cellphone selected? P(1 green and 1 yellow) = (Round to four decimal places as needed.) c. If three cellphones are selected with replacement (the first cellphone is returned to the box after it is selected), what is the probability that all three will be yellow? P(three yellow)= (Round to four decimal places as needed.) d. If you were sampling with replacement (the first cellphone is returned to the box aftor it is selected), what would be the answers to (a) and (b)? P(both green) = (Round to four decimal places as needed.)…

10. Find the probability that at most 5 defective fuses will be found in a box of 200 fuses, if experience shows that 2% of such fuses are defective.

4.The probability that a football team will defeat its next opponent is estimated to bel 0.7, if it doesn't rain, but only 0.5 if it rains. If the weather recorder shows that it has rained 40% of the time on the date of the game during past years. What is the probability that the team will defeat it's next opponent? 5.Suppose there are 3 outcomes in an experiment say A, B, and C. Further, suppose that A is twice as likely to occur as B which in turn is 3-times as likely to occur as C. Find the probability of occurrence of A,B,C, respectively. 30

17. In a certain factory producing certain articles, the probability that an article is defective is The articles are supplied in packets of 20. 500 Find approximately the number of packets containing no defective, one defective, two defectives in a consignment of 20000 packets.

The data in tabulated form shown below are the number of children of family in each worker in a furniture company. Worker Number of Boys Number of Girls Number of Children 1. A 3 1 4 2. B 2. 6. 3. С 1 2 3 4. D 1 5. E 6. F 7. G 8. H 9. I 4 1 5 3 1 1 3 4 2 2 10. J 1 3 11. K 1 2 12. L 4 4 13. М 1 1 14. N 1 3 15. O 3 16. P 2 17. Q 1 3 18. R 2 19. S 2 4 20. T 2 D. 1. Count the number of boys and girls for each family. Based on randomly generated data, estimate the probabilities of a boy and a girl. Estimate the probabilities using the following formula:

A box of 6 cellphones contains three yellow cellphones and three green cellphones. Complete parts (a) through (d) below. a. If two cellphones are randomly selected from the box without replacement, what is the probability that both cellphones selected will be green? P(both green) = (Round to four decimal places as needed.)

2.) In a class with 13 undergraduates and 10 graduate students, a 4-member panel will be randomly chosen. Find the probability that the group contains the following, and round your answer to 4 decimal places. (a) 2 graduate students and 2 undergrads (b) No more than 2 graduate students

1. A coin is tossed 10 times. Find the probability of getting a) at least 2 heads (Ans: 0.989)- b) no more than 2 tails (Ans: 0.055)