Sat scores (out of 2400) are distributed normally with a mean of 1500 and a standard deviation of 300. suppose a school council awards a certificate of excellence to all students who score at least 1700 on the sat, and suppose we pick one of the recognized students at random. what is the probability this student's score will be at least 2000? (the material covered in section 2.2 would be useful for this question. round your answer to two decimal places.)

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.

The amount spent on food and drink by 20 customers is shown below what is the modal amount spent ?

Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. complete parts (a) through (c) below. a. if 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute. the probability is? b. if 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute. the probability is? c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?