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- 4 children. He makes a fast, wrong estimate of the probability of various mixes of boys and girls among QUESTION 3. Mr. Fastwrong is working for the census department and he is counting families that have the families. His assistant, Ms. Slowright, analyzes the issue and corrects his work. Fill her corrections of his wrong guesses into the table below. Number of boys among the 4 children 1 0 4 3 2 Number of girls among the 4 children 0 1 2 4 Use fractions (not percents) in your answers. Mr. Fastwrong's estimate of the fraction of families having this distribution of boys and girls 1/5 1/5 1/5 1/5 1/5 Ms. Slowright's estimate of the fraction of families having this distribution of boys and girlsThe proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package of M&M's typically contains 57 M&M's. a) State the random variable. b) List the given numbers with correct symbols. = 57 = 0.14 c) Explain why this is a binomial experiment. Check all that apply. There are more than two outcomes for each M&M There are a fixed number of M&Ms, 57 Whether or not one randomly selected M&M is brown will not affect whether or not another randomly selected M&M is brown There is not a fixed number of M&Ms There are only two outcomes for each M&M p = 14% remains constant from one randomly selected M&M to another Whether or not one randomly selected M&M is brown will affect whether or not another randomly selected M&M is brown Find the probability, to 4 decimal places: It is possible when rounded that a probability is 0.0000 d) exactly none are brown. e) exactly 54 are brown. f) at least…What is the probability of a white rapsberry ?
- A coin is tossed 4 times and gives four heads in a row. You say “I guess that the fifth toss will result into a head with a probability of 1.”Upload the picture of your answers with your name ang signature. An experiment consists of asking 3 women at random if they wash their dishes with brand X detergent. a. List the elements of a Sample Space S using the letter Y for yes" and N for "no". b. List the elements of S corresponding to event A that at least 2 women use brand X. c. List the elements of S corresponding to event B that exactly 2 women use brand X. d. List the elements of S corresponding to event C that the first woman interviewed use brand X. e. List the elements in ANBNC f. List the elements inA UBUC g. List the elements A' U C h. List the elements in (A' N B') UCConsider the experiment: You ask someone two multiple-choice questions. Each question could be answered with Yes (Y), No (N), or Don't Know (D). (For example, if you ask someone these two questions, they could answer Yes to both of them, or Yes to the first one and Don't Know to the second one, etc.) Let A be the event that the person answers Yes to at least one question, and Let B be the event that the person answers No to the second question. How many elements are in the sample space? What elements are in A ∩ B? What elements are in A ′?
- If a coin is balanced so that p(Heads) = p(Tails) = 1/2, then which of the following outcomes is least likely to occur? Select one: a. 10 Heads in 10 tosses b. 8 Heads in 10 tosses c. 2 Heads in 10 tosses d. 5 Heads in 10 tossesColder? We used the formula °F = 9>5°C + 32 to con-vert Celsius to Fahrenheit in Chapter 5. Let’s put it to use in a random variable setting.a) Suppose your town has a mean January temperature of11°C. What is the mean temperature in °F?b) Fortunately your local weatherman has recently takena statistics course and is keen to show off his newfound knowledge. He reports that January has a standard de-viation of 6°C. What is the standard deviation in °F?The accompanying data are from an article. Each of 309 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not. Male Female Hybrid 76 33 Not Hybrid 116 84 Suppose one of these 309 individuals is to be selected at random. Determine if the probabilities P(hybrid male) and P(male hybrid) are equal. If not, explain the difference between these two probabilities. O Yes, the probabilities are equal. No, the probabilities are not equal. The first is the probability that a hybrid Honda Civic owner is male, and the second is the probability that a male Honda Civic owner purchased a hybrid. O No, the probabilities are not equal. The first is the probability that a male Honda Civic owner purchased a hybrid, and the second is the probability that a hybrid Honda Civic owner is male.
- The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. A. Find the probability of getting exactly 1 girl in 8 births. B. Find the probability of getting 1 or fewer girls in 8 births. C. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? A. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability. B.Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. C.Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. This is the correct answer. D.Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant…Provide an appropriate response. A bag contains 7 red marbles and 8 green marbles. Anne picks 3 marbles at random, with replacement, and observes the color of each marble. The number of green marbles, X, is a binomial random variable. If we let success correspond to getting a green marble, what is the success probability, p? What is the number of trials? OA) p = ³, n = 15 15 B) p = 1, n = 15 OC) p = ₁ n = 3 , 15 OD) p = 1, n = 3The probability of 6 P events when N = 10 and P = .7 is the same as 4 Q events if Q=.3 and N=10. a. False O b. True O c. Cannot say