Question 14 of 16

Assume that a randomly selected subject is given a bons 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 less than - 0.78 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?