5 STAT Questions
1.
The sample space given here shows all possible GGGG GGGB GGBB GBBB BBBB sequences for a family with 4 children, where B GGBG GBGB BGBB stands for boy and G stands for girl. If all 16 GBGG GBBG BBGB outcomes are equally likely, find the probability that BGGG BGGB BBBG there are: BGBG a. exactly 0 boys. b. exactly 1 girl. c. exactly 2 boys. BBGG d. exactly 3 boys. e. exactly 4 girls.b. If one survey participant is randomly selected, what is the probability that he or she is not satisfied? The probability that one randomly selected survey participant is not satisfied is (Round to three decimal places as needed.)A university conducted a survey of 274 Sophomore, Junior, and Senior undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. Complete parts a and b below. Sophomore Junior Senior Total Q Satised 45 68 62 175 Neutral 13 17 9 39 Not satised 21 13 26 60 Total 79 98 97 274 a. If one survey participant is randomly selected, what is the probability that he or she is a Sophomore? The probability that one randomly selected survey participant is a Sophomore is D. (Round to three decimal places as needed.) Assume the only grades possible in a history course are A, B, C, or lower than C. The probability that a randomly selected student will get an A in the course is 0.39, the probability that a student will get a B in the course is 0.18, and the probability that a student will get a C in the course is 0.17. a. What is the probability that a student will get an A OR a B? b. What is the probability that a student will get an A OR a B OR a C? c. What is the probability that a student will get a grade lower than a C? The accompanying table summarizes the results of a survey in which each respondent was to report their gender and the political party that most represents their political views. A person is selected randomly from the sample summarized in the table. Complete parts a and b below. g Click the icon to view the table of survey results. A B C D E F Total Male 141 236 329 141 57 11 915 Female 236 282 465 117 69 14 1183 Total 377 518 794 258 126 25 2098a. Which of the following probability statements represents the probability that a female identifies with Party A: P(female|A), P(A|female), or P(A AND female)? O A. P(female| A) B. P(A|female) O C. P(A AND female) b. Calculate the probability in each statement in part a.Imagine flipping six fair coins. a. What is the probability that all six will come up tails? b. What is the probability the first toss is heads AND the next five are tails
