Answer: 0.5
Step-by-step explanation:
Given : Adult male heights have a normal probability distribution .
Population mean : [tex]\mu = 70 \text{ inches}[/tex]
Standard deviation: [tex]\sigma= 4\text{ inches}[/tex]
Let x be the random variable that represent the heights of adult male.
z-score : [tex]z=\dfrac{x-\mu}{\sigma}[/tex]
For x=70, we have
[tex]z=\dfrac{70-70}{4}=0[/tex]
Now, by using the standard normal distribution table, we have
The probability that a randomly selected male is more than 70 inches tall :-
[tex]P(x\geq70)=P(z\geq0)=1-P(z<0)=1-0.5=0.5[/tex]
Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5
Answer:
The probability that a randomly selected male is more than 70 inches tall is 0.5
Step-by-step explanation:
Mean height of adults =[tex]\mu = 70 inches[/tex]
Standard deviation = [tex]\sigma = 4 inches[/tex]
We are supposed to find the probability that a randomly selected male is more than 70 inches tall i.e. P(x>70)
Formula: [tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{70-70}{4}[/tex]
Z=0
So, p value at z=0 is 0.5
So, P(x>70)=1-P(x<70)=1-0.5 =0.5
Hence the probability that a randomly selected male is more than 70 inches tall is 0.5
