The following table describes the results of roadworthiness tests of Ford Focus cars that are three years old (based on data from the Department of Transportation). The random variable x represents the number of cars that failed among six that were tested for roadworthiness. Is the probability of getting three or more cars that fail among six cars tested significant, determined by a cutoff value of 0.05? X 0 123456 P(x) D 0.377 0.399 0.176 0.041 0.005 0+ 0+ ***

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?

Customers of a restaurant have been complaining about food poisoning over the past week. A health professional was called to investigate. She tested a representative sample of the eggs and reported that 24% of the sample eggs tested positive for the salmonella bacterium. If a second health professional tests 66 eggs at random, what is the probability that exactly 14 test positive for salmonella? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.65.6 days and a standard deviation of 2.12.1 days.  What is the probability of spending more than two days in recovery? A.) 0.9568 B.) 0.0432 C.) 0.8922 D.) 0.0401

Business weekly conducted a survey of graduates for 30 top MBA programs.  On the basis of the survey assume the means annual salary 10 years after graduation is $162,000.  Assume the standard deviation is $40,000.  Suppose you take a simply random sample of 39 graduates.  For a single randomly selected graduate, find the probability that her salary is between $156,692.00 and $161,395.00.   For a simple random sample of 39 graduates, find the probability that the average salary is between $156,692.00 and $161,395.00.  Is the assumption of normal necessary?  Yes, or No.

Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages be accurate. Suppose that a random sample of n = 12 frozen dinners of a certain type was selected and the calorie content of each one was determined. Below are the resulting observations, along with a boxplot and normal probability plot.

The median annual cost of auto insurance is $ 939 (According to DACO). Suppose the standard deviation is o = $ 241. What is the probability that in a simple random sample of auto insurance policies the sample mean differs more than $ 70.42 from the population mean if the sample size is 45? You must calculate the probability that the difference between the average cost in the sample and the average annual cost do not differ by $ 70.42. Find the probability that P (\ µ - š | 0) = P (-70.42 H-iS 70.42) Select one: a. The probability is 99% that the auto policy will not differ by $ 70.42 from the average annual cost. b. The probability is 50% that the auto policy will not differ by $ 70.42 from the average annual cost. c. The probability is 80% that the auto policy will not differ by $ 70.42 from the average annual cost. d. The probability is 70% that the auto policy will not differ by $ 70.42 from the average annual cost. e. The probability is 95% that the auto policy will not differ by $…

The number of tickets purchased by an individual for Beckham College’s holiday music festival is a uniformly distributed random variable ranging from 6 to 15.   find standard deviation

What is the probability of randomly selecting a z-score less than z = –1.25 from a normal distribution?​   Question options: a. ​0.2112 b. ​0.1056 c. ​0.8944 d. ​0.3944

Nine hundred and thirty-two businessmen accepted the Mayaman Challenge of one of the Philanthropic Filipinos who are willing to give relief goods for our fellow Filipinos affected by the recent pandemic. They will be contributing an average of 135 sacks of rice with a standard deviation of 15 sacks of rice. 10. What is the probability that the businessman will contribute less than 105 sacks of rice? A. 98% B. 97.72% C. 2.28% D. 2.0% 11. What is the probability that the business man will contribute more than 150 sacks of rice? A. 15.87% B. 76.45% C. 80.78% D. 84.13% 12. How many businessman will contribute a sack of rice between 105 sacks to 145 sacks? A. 534 B. 653 C. 676 D. 726