Question 15 of 16

Assure that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score Is between - 2.07 and 3.66 and draw a sketch of the region.

Sketch the region, Choose the correct graph below

The probability is ____.

(Round to four decimal places as needed.)

1. Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability that a randomly selected thermometer reads greater than −1.59 and draw a sketch of the region.

2. Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability P(−0.45<z<0.45)​, where z is the reading in degrees.

P(−0.45<z<0.45)=____________

(1) Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 1200 people has a mean IQ of less than 99?

Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 150 people has a mean IQ between 102 and 103?

Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 100 people has a mean IQ of more than 104?

A grading scale is set up for 1000 students test scores. It is assumed that the scores are normally distributed with a mean score of 75 and a standard deviation of 15. What is the probability a student will have a score between 45 and 75