A box contains 20 computer chips, 4 of which are defective. If 3 are selected at random, what is the probability that (For equally likely outcomes, P(A) = n/N. Apply the appropriate counting techniques to determine n and N.) none is defective? [ Choose ] at least one is defective? [ Choose ] at most one is defective? [ Choose ] all are defective? [ Choose ]
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- 64% of all students at a college still need to take another math class. If 4 students are randomly selected, find the probability that a. Exactly 2 of them need to take another math class. b. At most 2 of them need to take another math class. c. At least 2 of them need to take another math class. d. Between 2 and 3 (including 2 and 3) of them need to take another math class.There are 7 councilors in the Ames City council. Three of them are female. Suppose they need to select two councilors for a committee. Which expression is computing the probability that if both councilors are selected at random, both will be female? a. None of the other answers is correct. b. 2C3 / 2C7 c. 3/7 d. None of the other answers is correct. e. 3C2 / 7C2 f. 3C2 / 7C3A box contains 13 transistors, 5 of which are defective. If 5 are selected at random, find the probability of the statements below. a. All are defective.b. None are defective.
- In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, 203 answered "none," 294 said "one," 364 said "two," 143 said "three," and 139 responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05. P(four or more cell phones) = %3D (Round to three decimal places as needed.) Is it unlikely for a household to have four or more cell phones in use? A. Yes, because the probability of a respondent with four or more cell phones in use is less than or equal to 0.05. B. Yes, because the probability of a respondent with four or more cell phones in use is greater than 0.05. C. No, because the probability of a respondent…A box contains 3 red and 4 blue marbles. Two marbles are drawn at a time, without replacement. Use a probability tree to answer the following questions: a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red. Thank you!A person has two drawers that contain socks. One drawer only has one blue sock, one red sock and one white sock in it. The other drawer only has one blue sock, one black sock, one white sock, one green sock and one yellow sock in it. (no drawer has a pair of matching socks.) One day the person decided to randomly pick one sock out of each drawer. a. List the possible selectons they can get. b. Find the probability that they will select a a pair of matching socks. c. Find the probability that their selection will contain a red sock or a green sock.
- In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, 211answered "none,"289 said "one," 373 said "two," 143 said "three," and 138 responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05.In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household) Among the respondents, 208 answered "none", 285 said "one", 358 said "two", 149 said "three", and 129 responded with four or more. A survey respondent is selected at random. Find the Probability that his/her household has four or more cell phones in use. Is it likely for a household to have four or more cell phones in use? Consider and event to be unlikely if its probability is less than or equal to 0.05.The following table gives the gender and political affiliation of 100 randomly selected voters at a voting site. Suppose you select a voter at random from that voting site. Answer the following questions a-e. Women Men Republicans 20 25 Democrats 23 15 Independents 8 9 a. What is the probability that you select a woman? ____. (Type an integer or a simplified fraction.)
- There are 40 pairs of gloves in Bills’ glove basket, but the 80 individual gloves are completely mixed up.a. If 20 gloves are randomly selected, find the probability they include Bills’ favorite pair of gloves.b. If 20 gloves are randomly selected, what is the probability that at most one glove from each of the40 pairs will be picked? (Remember, a left glove is different from a right glove.)64% of all students at a college still need to take another math class. If 4 students are randomly selected, find the probability thata. Exactly 2 of them need to take another math class. b. At most 2 of them need to take another math class. c. At least 2 of them need to take another math class. d. Between 2 and 3 (including 2 and 3) of them need to take another math class.Three light bulbs are selected at random from a lot of 10. It is known that 4 of them are defective. What is the probability that: a. All three of the light bulbs are defective? b. One is defective and the other two are not defective?