The Normal Distribution

If X\sim N\left(14,7.5\right), then what is the mean?

Let X\sim N\left(175,75\right). What is the z-score for x=270? Round to two decimal places.

Normal distributions have a _____________ distribution with μ in center.

If X\sim N\left(65,10\right), what is the lower data value for the middle 95\% of data?

Let X\sim N\left(16,7\right). What is P\left(x\le18\right)? Round to four decimal places.

If X\sim N\left(674,295\right), then what is the standard deviation?

Why is the area under the entire normal curve equal to 1?

A data value has a z-score of -1.5. How does this value compare to the mean?

Let X\sim N\left(1670,564\right). What is P\left(x>2000\right)? Round to four decimalp laces.

What percentage of normally distributed data will fall within 2 standard deviations of the mean?

Let X\sim N\left(15,8.5\right). What data value is 2.5 standard deviations above the mean?

In a normal distribution, if the area to the left of x is 0.5629, what is the area to the right of x?