Based on the CEO’s perception, a company estimates that a new product will be purchased by 32% of current customers. This is an example of which type of probability? help me with this

A construction company wants to understand how important safety helmets are on their worksite. They find that around 73% of their workers wear safety helmets regularly. Of those who wear these helmets, only 14% report any head injuries; for those who do not wear them regularly, 52% report head injuries.  What is the probability that a person who has reported a head injury was wearing a helmet?

After high school graduation you decide to become a chicken farmer. You experiment with several types of packaging, but even with the most secure cartons, 4% of your eggs break during shipping. Assuming that all eggs have the same probability of breaking, what is the probability that a carton of 12 eggs has at most 2 that are broken?

Several friends chartered a boat for a day's fishing. They caught a total of 70 fish. The table below provides information about the type and number of fish caught. Determine the empirical probability that the next fish caught is a flounder. Fish Number caught Grouper 12 Shark 16 Flounder Kingfish 38

Surgery for a painful, common back condition often results in significantly reduced back pain and better physical function than treatment with drugs and physical therapy. A researcher followed 803 patients, of whom 398 ended up getting surgery. After two years, of those who had surgery, 63% said they had a major improvement in their condition, compared with 29% among those who received nonsurgical treatment. a-1. What is the probability that a patient had surgery? (Round your answer to 4 decimal places.)      a-2. What is the probability that a patient did not have surgery? (Round your answer to 4 decimal places.)      b. What is the probability that a patient had surgery and experienced a major improvement in his or her condition? (Round your answer to 4 decimal places.)      c. What is the probability that a patient received nonsurgical treatment and experienced a major improvement in his or her condition? (Round your answer to 4 decimal places.)     rev: 08_24_2021_QC_CS-273373

ABC garage replaces brakes and shocks. Eighty-five percent of the automobiles that come in need new brakes and 35% need shocks. An automobile is brought in. What is the probability that the automobile needs both brakes and shocks?

Just how accurate are the weather forecasts we hear every day? The table below compares the daily forecast with a city's actual weather for a year.   Actual Weather Forecast Rain No rain Rain 34 56 No rain 4 271 What is the probability that there was no rain forecasted or rain actually happened?

Answer #30 please. Show work.

The annual premium for a $20,000 insurance policy against the theft of a painting is $300. If the probability that the painting will be stolen during the year is 0.02, what is your expected return from the insurance company if you take out this insurance?   Upload your answer with your work and explanations here

Below is a partially complete probability model. Enter the probability for the final outcome. Outcome 3 3 3.5 6 Probability 0.35 0.2 0.15   Find the expected value of the probability model. Speak