Please help me with these questions
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Vanessa, a research director, is conducting an experiment to determine the effectiveness of treatment for peach trees against blight. She randomly divides one grove's trees into three groups. One group is the control with no treatment for blight. She prunes the second group to remove the limbs showing blight after the spring rains. She prunes the third group as well and also sprays them with an antibiotic. Vanessa monitors the trees for ve years after the start of the experiment. The table shows the outcomes, or the counts of how long the trees in each group lived. Treatment Outcomes iE Pruning WITTVT'W 2to4years |28 44 || 46 || 118| Morethan4years | 13 22 || 51 || 86 | Totals [E 101 124 307 Click to download the data in your preferred format if you wish. CrunchIt! CSV Excel IMP Mac Text Minitab PC Text R SPSS TI Cale Determine the probability that a randomly selected tree from this experiment lived two to four years or was treated with an antibiotic. Give your answer as a decimal, precise to three decimal places. Leadership positions for a college social club are up for election. Three people are needed to fill the positions of president, vice president, and secretary. Only 10 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 filled using the 10 possible candidates?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?Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. Cand not] Jand mm? 30 135 C = Go to college I = Have a job What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places. What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places. Faculty positions in a school district are classied as either teacher or administrator based on primary duties and responsibilities. The table below shows information on the number of national board-certied and not boardcertied teachers and administrators. Board-certied Not board-certied Administrator 10 6 Teacher 5 18 Determine the probability, P(boardcertied or teacher), that a randomly chosen faculty member is either board-certied or a teacher. Please enter your answer as a decimal, precise to at least four decimal places. The prizes at a carnival tossing game are different stuffed animals. There are 34 tigers, 27 bears, 12 hippopotamuses, 16 giraffes, and 22 monkeys. The carnival manager randomly selects a prize when a player Wins the game. Determine the probability that the prize selected is not a bear. Give your answer as a decimal, precise to three decimal places. Probability = C] Suppose that in a particular country, the probability that a randomly chosen person is a left-handed baseball player is 0.014 and the probability that a randomly chosen baseball player is left-handed is 0.250. Based on these probabilities, determine the probability, p, that a randomly chosen person from this country plays baseball. Give your answer as a decimal precise to at least three decimal places. Researchers suggest that 8.5% of females in Scotland have red hair. Approximately 10% of Scottish people have red hair, and the population is 51% female. What is the probability that a randomly chosen member of the Scottish population is a female with red hair? Enter your answer as a percentage rounded to the nearest tenth. Consider the probability distribution for a random variable X. X P(X) Find the probability P(X S 5.5). 3 4 0.15 0.10 5 0.20 6 0.25 7 0.30 Use decimal notation. Give your answer to two decimal places. Suppose that x represents the number of cars sold at a dealership in a randomly selected single day. The probability distribution of x is given in the table below. x 4 5 6 7 8 9 10 p(x) 0.02 0.10 0.18 0.28 0.31 0.09 0.02 If you wish, you can click to download the data in your preferred format. CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Cale What is the mean number of cars, u, sold per day at the dealership? Give your answer in decimal form precise to two decimal places
