The distribution of scores on a test is mound-shaped and symmetric with a mean score of 78. If 68% of the scores fall between 72 and 84, which of the following is most likely to be the standard deviation of the distribution?Group of answer choices21236

Scores on an examination are assumed to be normally distributed with mean µ = 78and variance σ2 = 36.(a) [1 mark] Find the probability that a person taking the examination scores higherthan 72

Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.The instructor wanted to "pass" anyone who scored above 69. What proportion of exams will have passing scores? 0.1587 0.75 0.2266 0.7734 −0.75

A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately mound-shaped and symmetric, with a mean of 86 jobs and a standard deviation of 12. Where do we expect approximately 95% of the distribution to fall?Group of answer choicesbetween 62 and 110 jobs per daybetween 50 and 122 jobs per daybetween 110 and 122 jobs per daybetween 74 and 98 jobs per day

In a normal distribution, what percentage of data lies within one standard deviation of the mean? Group of answer choicesApproximately 95%Approximately 99.7%Exactly 100%Approximately 68%

The final exam scores in a statistics class were normally distributed with a mean of 63 and a standard deviation of five. Find the probability that a randomly selected student scored more than 68 on the exam. (3 marks)