A small construction crew in northwestern Canada is about to start road work on a mining road. The work is not too difficult and it will only take one day. Since this road is in a pretty remote area, not many vehicles drive on it. The amount of daily traffic follows a uniform distribution with daily vehicles ranging from 5 to 16. Given this discrete uniform distribution, what is the probability that the number of cars stopped by this construction will be 12 or 13? What is the probability that the construction crew will stop less than 10 cars?

According to the Turkish Ministry of Health, the probability of a woman developing breast cancer over a lifetime period is 1/5. What is the probability that 3 women out of 15 will develop breast cancer over a lifetime?

The Michelin tires in average will last for 60000 miles. A technician claims that the deviation of mileage for wearied off tires is 25000 miles. If 16 such tires are tested, find the probability that for those tires the average wearied off mileage is between 55000 and 65000 miles.

The probability that a sampled person has either a great deal or some confidence in educational institutions is not 1. For step 1 can you please check this

On average there are 3 leaks for every 100 miles of a pipeline. What is the probability that a 50-mile section of the pipeline has at least 1 leak?

When two dice are rolled, what is the probability that the minimum value is 2? Answer to the nearest 0.01.

If a seed is planted, it has a 61% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 57 seeds are planted. What is the distribution of X?  Please show the following answers to 4 decimal places. What is the probability that exactly 24 seeds grow into healthy plants? What is the probability that at most 24 seeds grow into healthy plants?

A psychologist believes that 65% of male drivers when lost continue to drive hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 350 male drivers and asked each what they did when lost. Assume that the sampling distribution of the sample proportion of male drivers who continue driving is at least approximately normal. If the belief is true, determine the probability that less than 60% said they continue driving. Show your work below

One prominent physician claims that 65% of persons with lung cancer are smokers. If the claim is true, find the probability that of 10 such patients recently admitted to a hospital, fewer than half aresmokers.     SHOW ALL WORKING

A para-glider wants to land in a field that is square shaped 400 feet on each side. However, there are four briar patches planted at each corner of the field. Each briar patch takes up a region roughly shaped like a quarter circle 40 feet in diameter. If the glider loses control and hits the field randomly, what is the probability that he misses the briar patches?