Suppose X ~ N(275, 16) Find the Pr(X≥294) Find the Pr(255≤X≤297) Find the 17th percentile of X

find the are under the normal curve between Z-scores of - 2.06 and 1,91 -1.82 and 2.68 -0.57 and -1.42 Show and explain complete  solution

For the residents in 2014, use R to calculate the interval with 99% certainty that the interval contains the actual population mean of the residents by census tracts. Type in the interval with keyboard. We also know that in each year, the number of residents by census tract in the State of Maryland follows a normal distribution, and the variance in the number of residents within the State of Maryland is the same for different years.  POP2014: 3072, 1989, 3794, 2689, 3211, 3722, 4385, 4009, 7598, 3862, 3097, 2726, 4881, 4157, 2570, 2512, 2518, 4863, 4147, 7139, 6067, 6819, 3705, 3239, 3824, 4977, 2576, 2940, 9791, 5231, 5634, 5337, 4205, 3888, 5562, 3335, 3770, 1808, 2045, 1532, 5420, 4993, 6109, 4377, 5424, 4976, 4507, 3738, 2827, 3485, 1559, 5199, 4702, 3971, 3803, 3356, 4670, 3816, 5477, 4760, 3126, 3630, 3755, 3795, 2578, 3382, 4005, 2442, 6096, 3799, 3843, 3836, 6046, 6431, 3561, 3142, 4829, 5058, 2471, 6119, 3523, 3094, 3146, 3356, 2618, 2366, 4266, 4016, 6080, 1554, 6878, 3645,…

Q\ For the next data: Class limit 13-19 20-26 27-33 34-40 41-47 48-54 55-61 62-68 Frequency 8 13 23 35 42 36 20 7 Calculate: 1- Arithmetic mean (X), Mode (X). 2- Standard Deviation (S), Coefficient of Variation (C,).

SAT scores in one state is normally distributed with a mean of 1481 and a standard deviation of 88. Suppose we randomly pick 49 SAT scores from that state. a) Find the probability that one of the scores in the sample is less than 1457. P(X<1457)P(X<1457) = b) Find the probability that the average of the scores for the sample of 49 scores is less than 1457. P(¯¯¯X<1457)P(X¯<1457) =

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 20 days and a standard deviation of 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.

The number of books sold over the course of the for day book fair were 195, 158, 263 and 100.  Assume that samples of  size 2 are randomly selected with replacement from this population of four values.  List the different possible samples and find the mean of each of them.