Anyone help me with these questions for statistics and probability pleasee

1.

Suppose a county's recent health report gives a pet allergy prevalence of 0.23 for kids. There is a new at-home test kit for pet allergies on the market that provides families with a convenient way to test if children have a pet allergy. The probability that the test gives a positive result when a Child 083 Pet allergy Test result status Positive really does not have a pet allergy is 0.07. The probability that the test gives alifgy a negative result when a child really does have a pet allergy is 0.17. The tree 0 23 0 17 diagram shows the possible outcomes with the associated probabilities. ' Negatwe What is the probability of an incorrect test result? Give your answer as a decimal precise to two decimal places. Positive 0.07 0.77 No pet allergy 0-93 Negative P(incorrect test result) = C] Suppose that a team of campaign volunteers surveyed 175 likely voters to gauge support of a school levy that will be on the ballot in an upcoming election. Respondents were asked whether they support the levy and whether they have children attending school in the district. The results of this survey are shown below. Support Opposed to levy levy Have children attending school in 1 2 district 7 3 Have no children attending school 38 in district Click to download the data in your preferred format if you wish. Crunchlt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Determine the probability, P(support | children), that a randomly selected respondent supports the levy given that he or she has children attending school in the district. Give your answer as a decimal, precise to three decimal places. rrrrrrrr I rrrrrrrrr = Determine the probability, P(children | support), that a randomly selected respondent has children attending school in the district given that he or she supports the levy. Give your answer as a decimal, rounded to three decimal places. rrrrrrrrr I rrrrrrr = A box of writing utensils on a teacher's desk contains 5 red pencils, 6 green pencils, 9 red markers, and 3 green markers. What is the probability of selecting a red writing utensil or a marker? A bag of marbles contains 6 blue glass marbles, 5 yellow glass marbles, 19 blue stone marbles, and 3 yellow stone marbles. What is the probability of selecting a marble and having that marble be either a blue marble or a stone marble? Express your answer as a decimal rounded to four decimal places. Probability C] Suppose a weather forecast reports that the probability of snow this week is 0.35. The forecast states that if it snows this week, the probability that it snows next week is 0.42. If it does not snow this week, the probability that it snows next week is 0.25. The tree diagram 0'42 depicts the possible weather event outcomes with the associated Snow probabilities. 03 5 This week Next week Snow _ . _ _ _ _ 0'58 No snow What IS the probability that 1t W111 snow next week? Prov1de your answer with precision to two decimal places. 0.25 P(snow next week) = C] 0.65 No snow 0-75 No snow Snow This Venn diagram shows the makeup of attendees at a college social event sponsored by the French Club. The event is open to all students. There are 35 students at the party who are fluent in French. There are 50 students at the party who are fluent in English. There are 130 students at the party. Use the Venn diagram and given information to find the probability that a student selected at random is fluent in both French and English. Assume the chance of being selected is the same for each student. Express your answer as a percentage rounded to one decimal place. Probability =Suppose that of the 143 patients who visited Doctor Baptiste's ofce this week, 41 had high LDL cholesterol, 32 had hypertension, and 88 had neither high LDL cholesterol nor hypertension. Let C be the number of patients with high LDL cholesterol and H the number with hypertension. How many patients had both high LDL cholesterol and hypertension, |C n H | ? What is the probability that a randomly chosen patient had high LDL cholesterol and hypertension, P(C n H)? Express the result with precision to three decimal places. What is the probability that a randomly chosen patient had either high LDL cholesterol or hypertension, P(C U H)? Express the result with precision to three decimal places. Suppose that Kim is the philanthropy chair of her sorority, and she wants to choose a committee of five of her sorority sisters to help her plan their annual charity soccer tournament. However, when she asks for volunteers, 13 of her sisters are willing to help. Not wanting to play favorites, Kim decides to randomly select her five committee members from the 13 volunteers. How many different committees of five members are possible using this method?Leadership positions for a college social club are up for election. Three people are needed to ll the positions of president, vice president, and secretary. Only six members are Willing to serve in these positions. Each candidate is eligible for each position, and a candidate can only hold one leadership position. How many different ways can the three positions be lled using the six possible candidates? :1 Phoebe just bought a new bike along with a bike lock that allows her to set the combination of four digits long. Each digit is an integer from 0 to 9, and a digit may be used more than once. How many possible different lock combinations are there? [:1 Suppose that Jeremy is a high school a science teacher and that he is dividing the 12 students in his advanced chemistry class into four groups of three for a lab activity. Each of the four lab groups has been assigned its own task to complete for the activity, but the students are not assigned specic roles within each group. How many different ways can Jeremy assign his students to the four lab groups? :1