Suppose x has a distribution with a mean of 75 and a standard deviation of 45. random samples of size n = 81 are drawn.

(a) describe the x distribution and compute the mean and standard deviation of the distribution.

(b) find the z value corresponding to x = 90.

(c) find p(x < 90).

(d) would it be unusual for a random sample of size 81 from the x distribution to have a sample mean less than 90? explain.

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.