Question

Let x be a normal random variable with a mean of 50 and a standard deviation of 3. A z score was calculated for x, and the z score is 5. What is the
value of x?​

Answer 1

Answer:

50+ to 5 ithink

Step-by-step explanation:

Answer 2

Answer:

The value of normal random variable,$x$ is 65.

Step-by-step explanation:

Given mean of a normally distributed variable,  $\mu= 50$

          standard deviation, $\sigma =3$

          and z score,  $z=5$

If 'x' is a normally distributed random variable and $X \sim N(\mu, \sigma)$, then the z-score for a particular $x$ will be

                    $z=\frac{x\text{ }-\text{ }\mu }{\sigma }$

substituting the values,

                    $5=\frac{x\text{ }-\text{ }50 }{3 }\implies 15= {x\text{ }-\text{ }50 }$

                                      $\implies x= 15+50 =65$

Therefore, the value of x is 65.