Apopulation has a mean of 200 and a standard deviation of 50. suppose a sample of size 100 is selected. what is the probability that the sample mean will be within latex: \pm±10 of the population mean?

Answer this question, only if you know the answer. 30 points and brainliest!

Now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Finally, the arena decides to offer advertising space on the jerseys of the arena's own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14 what is this as a percentage? what is this as a fraction? what is the probability of not being shortlisted? give your answer as a decimal.