A report from the Department of Agriculture has shown that 35% of the produce in supermarkets has been genetically modified (labeled a GMO). A simple random sample of 12 different pieces of produce are selected. What is the probability that less than 4 pieces of produce will have been genetically modified (labeled as GMO)? Show how you calculated your result here (type in what you typed on your calculator or computer, the function used on the calculator/computer with value input, etc) Calculation: ____________ Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(less than 4 are GMO) = ___________

The following table gives the number of fatal work injuries categorized by cause from 2015 in a certain country. Cause Number of Fatalities Transportation accidents 2765 Assaults and violent acts 746 Contacts with objects and equipment 727 Falls 800 424 102 20 Exposure to harmful substances or environments Fires and explosions Other Find the probability that a randomly chosen work fatality had the following cause. Assaults and violent acts There were a total of fatal work injuries.

Of the cartons produced by a company, 7% have a puncture, 6% have a smashed corner, and 0.4% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.) %.

If the probability of dropping an egg is 0.01, what is the probability of not dropping the egg? Show the work, include the permutation, combination, or values you are multiplying or dividing.

In the winter, guests who visit Yosemite National Park like to stay at an overnight lodge in the park 71 % of the time. Find the probability that among 11 guests surveyed exactly 3 guests like to stay at an overnight lodge in the park. P(x = 3) =

A psychologist found a study which claiming that 32% of patients who visit a psychologist have symptoms of anxiety. This psychologist had 44 patients visit. Let x = the number of patients that had symptoms of anxiety. (a) The random variable is which of the following? O the number of psychologists O the number of patients who visited the psychologist the number of patients who had symptoms of anxiety O the number of patients without symptoms of anxiety (b) How many total patients did the psychologist have visit?

Of the cartons produced by a company, 10% have a puncture, 4% have a smashed corner, and 1.3% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.) %.

A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %

Gg.94.   According to Baseball Insider Magazine 25% of major league pitchers are left-handed. A recent report shows that 60% of left-handed pitcher undergo rotator cuff surgery, while 30% of right-handed pitchers undergo rotator cuff surgery. If a major league pitcher underwent rotator cuff surgery yesterday afternoon, what is the probability that this pitcher was right-handed and underwent rotator cuff surgery?