The heights (X) of students are normally distributed with mean 156 cm and standard deviation 28 cm. Find the probability that P(X < 160)? Round to 4 decimals
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- The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30. Find the score that is 2 1/2 standard deviations above the mean.Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability that a randomly selected thermometer reads between -0.61 and 1.91. The heights of students are normally distributed with mean 161 inches and standard deviation of 4.56 inches. Find the probability that the probability of height is less than 165 inches?
- A binomial distribution happens such that q=4C2/100 and n=6C1.Find the square root of std deviation.Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability that the reading is between 1.5°C and 1.71°C.Assume that adults have IQ scores that are normally distributed with a mean of 98 and standard deviation of 15. Find the probability that a randomly selected adult has an IQ greater than 104.
- The time taken in the cycling phase of a triathlon has a mean 23.16min and standard deviation 8.39min. Find the probability that the mean cycling time taken by a random sample of 38 competitors is greater than 25 minutes. Give your answer in 3 decimal places.Suppose the masses of a batch of 2000 potatoes have a mean of 60 grams with a standard deviation of 8 grams. Assuming the weights have a normal distribution, predict the number of potatoes that would have masses between 45 and 55 grams. Sketch the distribution curve, shade the required probability, and show horizontal scales the population parameters and the z-scores. Solve the problemAssume that blood pressure readings are normally distributed with a mean of 122 and a standard deviation of 6.4. If 64 people are randomly selected, find the probability that their mean blood pressure will be less than 124.
- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.71°C.Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3 inches. A particular man is 80 inches tall. Find the z-score of his height. (Round to two decimal places.)The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to have contracted this disease, find the mean and standard deviation of the number of recoveries among 15 patients.