4.) Boys and Girls. A couple plans to have two children. Determine the number of points in the sample space of the possible arrangements of boys and girls b.) Construct a tree diagram and list the sample space Assuming that boys and girls are equally likely, determine the probability that the couple has c.) Two girls d.) At least one girl e.) A girl and then a boy
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- A stem-and-leaf plot for the number of touchdowns scored by all Division 1A football teams is shown below. Complete parts (a) through (c). a) If a team is selected at random, find the probability the team scored at least 30 touchdowns. b)if a steam is selected at random,find the probability the team scored between 40 and 48 touchdowns inclusive . c)if a team is selected at random,find the probability the team scored more than 78 touchdowns. are. Any of these events unusual? 1 3 4 5 7 8 8 Key:1|5equals=15 2 0 1 2 2 3 4 5 7 8 8 9 3 0 0 1 1 1 2 2 3 3 4 4 5 5 7 7 7 8 9 4 0 0 1 2 2 3 4 5 5 5 5 6 7 8 8 9 5 0 2 3 5 5 7 8 6 1 3 6 7 7 8 7The set S = {a, b, c, d} is the sample space for an experiment. Find the probability that outcome c occurs if it is known that outcome d is twice as likely to occur as outcome c, outcomecis twice as likely to occur as outcome b and outcome b is twice as likely to occur as outcome a. O A. O B. OD. O E. Cannot be determined.6.) A mathematics class has 16 engineers majors, 12 science majors, and 4 liberal artsmajors.a.) What is the probability that a student selected at random will be a science orliberal arts major?b.) What is the probability that a student selected at random will be anengineering or science major?c.) 5 of the engineering students, 6 or the science majors, and 2 of the liberal artsmajors are female. What is the probability that a student selected at random is anengineering major or a female?
- Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 26 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 26 births. The value of the mean is μ = (Type an integer or a decimal. Do not round.). The value of the standard deviation is o= 0 (Round to one decimal place as needed) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. tion Viewer (Round to one decimal place as needed.) Values of airls or areater are significantly high.Erron got a new job in a shoe store at Robinson's Calasiao, Pangasinan. The numbers of pair of shoes he was able to sell for three days are: 2,4,5. Assume that samples of size 2 are randomly selected with replacement from this population of three values. a.) List down the 9 different possible samples. b.) Find the mean of each sample. c.) Find the mean of the sampling distribution of means. d.) Identify the probability of each sample. e.) Find the population mean. f.) Compare the population mean with the mean of the sampling distribution of means.1. You roll a pair of standard dice. The sample space is as follows: 田围图图图图 国圈国目 图图图围 A. P (getting a 1 on the first die or getting a 5 on the second die) B. P (sum of the dice = 8) c. P (getting a 3 on the second die given that you got a 2 on the first die) D. P (getting an odd number on the first die and a value greater than 4 on the second die) E. P (getting a value greater than 4 on the first die given a sum of 8)
- 2.3 4) Consider each situation. Decide whether the pairs of events are mutually exclusive or not. a) Roll a die: Get an even number and get a number less than 3. b) Roll a die: Get a prime number (2, 3, or 5) and get a six. c) Roll a die: Get a number greater than 3 and get a number less than 3. d) Select a student: Get a student with blue eyes and get a student with blond hair. e) Select a college student: Get a sophomore and get a student that is a math major. f) Select a course: Get an Algebra course and get an English course. g) Select a voter: Get a Republican and get a Democrat. INTL DII %23 3. 4 5 6. e yww.awo.dte.comV Ccessones. PB Pebble Watch Apps. Dowica music, m. E Monsters - Traverse Ger the M Gal a Woulube Maps O Mfler Watch m myflar to Spectrum TV O PROBABLITY Pablo V Area as probability Enpatol A point is chosen at random in the square shown below. Find the probablity that the point is in the shaded circular region. Each side of the square is 6 in, and the radius of the circle is 3 in. Do not round any Intermediate steps. Round your answer to the nearest hundredth. If necessary, refer to the list of geometry formulas. 3 im 6 inA bag contains 3 colored balls: one green, one red, and one white. Two balls will be picked consecutively, and the color recorded. A. Define the sample space S by enumerating all its elements. B. Let F be the event of picking a red ball. List the outcomes in F. C. Let E be the event of picking a white ball. List the outcomes in E. D. Are F and E mutually exclusive? Explain your answer. E. Define and list the outcomes in F ∪ E. F. Define and list the outcomes in F ∩ E. G. Define and list the outcomes in F ’.
- Solve step by step in digital format According to records, the Liverpool call center receives an average of four calls per minute. Find the probability that each of these occurrences occurs in a one-minute interval: a) No call is receivedb) Exactly two are receivedc) At least two calls are received.d) Indicate which and why of the distribution model used.Given the population of three children ages: 3, 4, and 5 a) Write the distribution of all samples means of size 2 b) Show that the mean of all sample means is equal to the population mean.Suppose you flip a coin twice. Let H represent the head and T represent the tail. Which one of the follwing is the sample space? O {HH,HT,TH,TT} O {H,T} O {H,HH,T,TT} O {HT,TH}