please help with hw problems

X Question 5 0/2 pts 9 2 25 0 Details A California Lottery game advertises that you have a 29% chance of winning. If you play the game 85 times, what is the probability that you win at least 22 times? R command: |1 - pbinom(22, 85, 0.29) X Ex. dbinom(10, 20, 0.23) or pbinom(10, 20, 0.23) or 1 - pbinom(10, 20, 0.23) Final Answer | 0.69183352 X Question 6 0/2 pts 9 2 25 0 Details Weather experts estimate that there is a 8% chance that it will snow in Sacramento each year. In the next 40 years, what is the probability that it will snow in Sacramento at least once? R command: 1 - pbinom(1, 40, 0.8) X Ex. dbinom(10, 20, 0.23) or pbinom(10, 20, 0.23) or 1 - pbinom(10, 20, 0.23) Final Answer |1 Desmos Scientific Calculator You will need RE or the Online R Console or RStudio Cloud for this question. See Example 3 of the Section 6.2 lecture [ [+]. Question 7 2/6 pts 9 2-3 5 0 Details0 Question 7 a 2/6 pts .0 2-3 3 5 (0 Details The probability that a randomly selected patient who visits the emergency room will die within a year of the visit is 4%. At a particular emergency room. a researcher obtains a sample of 800 patients and finds that 45 of them died within a year of their visit. a. If 800 patients are randomly selected, how many patients would you expect to die within a year of their visit? 32 V b. Do you think this particular emergency room should be investigated to see if something unusual is occurring? In other words, is it "unusual" to see 45 patients die within a year of their visit? Find the lower and upper bounds of what is considered "usual" and "unusual". Lower 0.0678x Upper- '/ Conclusion: c. Find the probability that at least 45 visitors die within a year of visiting the emergency room. Ex. dbinom(10, 20, 0.23) or pbinom(10, 20, 0.23) or 1 - pbinom(10, 20, 0.23) Final Answer 0.0096 x Question 8 B 4/6 pts '0 2 8 5 6) Details Question 8 4/6 pts 9 2 25 0 Details A jury pool of 70 people was supposed to be randomly selected from a population in which 31% of the population is college age. Among the 70 people selected, 14 were college age. a. How many college age people would you expect to be in a jury pool of 70 people? 3.87 X b. Is having only 14 college age people in the jury pool considered "unusual"? Find the lower and upper bounds of what is considered "usual" and "unusual". Lower 13.96 Upper 29.44 Conclusion: not unusual c. If the jury pool is randomly selected, find the probabilty of getting less than 14 college age people. R command: |dbinom(13, 70, 0.31) X Ex. dbinom(10, 20, 0.23) or pbinom(10, 20, 0.23) or 1 - pbinom(10, 20, 0.23) Final Answer | 0.0141 v