A normal distribution has a mean of 10 and a standard deviation of 1. What is the probability of selecting a number that is at m

Question

3 years ago

12

ost 10? Leave the answer in decimal form to 3 decimal places.

1 answer:

Len [333] · Answer 1 · 2022-12-04T19:39:06+03:00

Answer: 0.500

Step-by-step explanation:

Given : A normal distribution has a mean $(\mu)$ of 10 and a standard deviation $(\sigma)$ of 1.

Let x be a random variable that represents numbers .

The probability of selecting a number that is at most 10 will be

$P(x\leq10)=P(\dfrac{x-\mu}{\sigma}\leq\dfrac{10-10}{1})\\\\=P(z\leq0)=0.500$

As the area occupied by standard normal curve less than equal to 0 = 0.500

So, required probability = 0.500