From the data set of a class, a student taking a final exam is random variable with mean equal to 50 and variance is 25. Find an upper bound for the student probability that a student's exam score will between 40 and 60.
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- Times for a medical procedure are normally distributed. There are 2 methods. Method A has a mean of 25 minutes and a standard deviation of 8 minutes, while Method B has a mean of 29 and a standard deviation of of 4 minutes. Which method is preferred if the procedure must be completed within 27 minutes? Which procedure is preferred if the procedure must be completed within 35 minutes?the mean IQ of tweleve year old boys in a school district is 118; the standard deviation is 18. if a sample of 36 boys taken find the probability that the mean of the sample is greather than 120 the sample mean is within 3 points of the true mean.Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review. Assume Χ is normally distributed. Let x¯x¯ be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews. What causes the probabilities in Exercise 7.3 and Exercise 7.4 to be different?
- University students' blood pressure can be expected to follow a normal distribution with a mean of 85 mmHG and a standard deviation of 20 mmHG. If four college students are randomly selected, what is the probability that their mean blood pressure is lower than 90 mmHG?Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability of randomly selected adult has an IQ score less than 115.The distribution of sample means will always be normal if taken from a normal population. True or False?
- Find the variance if X~N(0, 7) and 95% of the data are between -7 and 7.The average time in years to get an undergraduate degree in Mechanical engineer was compared for men and women. From past experience, we know that the mean time for a female to finish her undergraduate degree is 3 years with a standard deviation of 0.5 year and the mean time for a male to finish his undergraduate degree is 3.5 years with a standard deviation of 1 year. Random samples of 40 male Mechanical engineer majors and 40 female Mechanical engineer majors were taken, the probability that the mean time for the selected males is greater than the mean time for females to finish an undergraduate degree is: O 0.0024 O0.0033A given age group's average height is 53 inches, with a standard variation of 4 inches. Determine the likelihood that a given individual's height will be less than 57 inches if the variable is normally distributed.
- The distribution of scores for the final exam in Math class last year had a Normal distribution with a mean of 74 and a standard deviation of 14. A random sample of 49 exam papers is selected. What is the probability that the sample mean is lower than 77?Birth weight at a local hospital for the past year had a normal distribution with a mean of 106 ounces and a variance of 36 ounces2. If the middle 50% of the birth weights are considered to have a normal birth weight then what is the birthweight that defines a high birthweight baby (above normal)?Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the center of the target. Tory's distances from the center of the target are approximately Normally distributed with a mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is more than for Adam? O 0.3113 O 0,4923 O 0.6887 O 0,7427 Mark this and return Save and Exit Submit Cop 24 & 9 alt ctri