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- Please show all your steps.1. According to a candy company, packages of a certain candy contain 21% orange candies.Find the approximate probability that the random sample of 500 candies will contain 23%or more orange candies.Corporation X manufactures light bulbs. The CEO claims that an average the light bulb lasts 300 days. A researcher randomly selects 15 bulbs for testing. The sampled bulbs last an average of 290 days, SD of 50 days. If the CEO's claim were true, what is the probability that 15 randomly selected bulbs would have an average life of no more than 290 days? Use 3 decimal places. Do not put a % sign. Answer:A study has found that 85% of adults get their news on a mobile device. You randomly survey 35 adults and have found that 30 of them indeed get their news on a mobile device. What is the test statistic for this scenario? Round p to the hundredths place before completing your calculations.
- You are analysing a factory. Stage 3 of the manufacturing process has a 45% chance of finishing on time. If it does finish on time, the chance of Stage 4 finishing late is 20%. The overall chance of Stage 4 finishing on time is 71.2%. What is the chance that Stage 4 finishes late if Stage 3 finished late? Round your answer to 2 decimal places.Solve it correctly.You are performing 4 independent Bernoulli trials with p = 0.1 and q = 0.9. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to four decimal places.) two successes P(X = 2) =
- 34% of CSU students participate in the Statistics Games while they attend CSU. You take a random sample of 40 students. What is the probability of getting a a sample with more than 15 students who have participated in the Games? Use 2 decimal places for your z-score when finding the probability area. Give your answer to 4 decimal places.You host a house party with 4 guests attending. Every guest gets a chance to win a gift by spinning a wheel with 1/3 of a chance of stopping at the winning spot. If you prepare 2 gifts to give away, what is the probability of you being embarrassed for running short of gifts (i.e, there are more winners than the number of gifts). Round your answer to two decimal places (for example: 0.12)You want to study the probability of a single slug surviving one day after excessive heat exposure, so you design an experiment where you expose 100 slugs to a temp of 40 degrees Celcius for 6hrs then record the casualties and survivals after 24hrs. In the end, 45 slugs died. a. Determine the probability of all possible events b. Based on your experimental results, determine the probability of the single snail surviving c. How many individuals would you expect to survive after 24hrs from exposure if the experiment was run with 520 slugs instead of 100?
- Last year the average math SAT score for students at one school was 775. the Headmaster introduced new methods hoping to improve scores. this year , the math mean SAT score for a sample of students was 1178. If the teaching had no effect, there would be roughly a 3 in 100 chance of seeing such an increase. Does the result have STATISTICAL significance? does the result have PRACTICAL significance? exlain your answerYou have 10 people with a cold and you have a remedy with a 20% chance of success. What is the chance that your remedy will cure at least one sufferer? O 0.107 O 0.268 0.624 O 0.893Set up the null and alternate hypotheses to test whether the population mean is equal to 10 when you have a sample mean. H0: Ha: