Question

Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.
a)Find the value of x so that the area under the normal curve to the left of x is approximately 0.9600.

Answer 1

TD bem the substance in a substance of following

Answer 2

Step-by-step explanation:

Given Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75. a)Find the value of x so that the area under the normal curve to the left of x is approximately 0.9600.  

• We need to find the value of x x so that the area under the normal curve to the left of x is approximately 0.9600
• So we get from the normal distribution table the z score is 1.76
• So x is a continuous random variable with mean = 550 and standard deviation = 75
• So μ = 550 and σ^2 = 75
•      Now Z = x – μ / σ
•                  = x – 550 / 8.66
• Now from the table we have z = 1.76
• So we get x – 550 / 8.66 = 1.76
•                x – 550 = 1.76 x 8.66
•               x – 550 = 15.2416
•              So x = 565.2416
• Therefore the value of x is 565.24

Reference link will be

https://brainly.in/question/19760194