Answer:
The probability that a randomly chosen child has a height of less than 51.85 inches is 0.2033
Step-by-step explanation:
Mean = 54.1 inches
Standard deviation = 2.7 inches
We are supposed to find the probability that a randomly chosen child has a height of less than 51.85 inches
P(x<51.85)
Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]
Substitute the values in the formula :
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{51.85-54.1 }{2.7}[/tex]
[tex]Z=-0.83[/tex]
Refer the z table for p value
p value = 0.2033
Hence the probability that a randomly chosen child has a height of less than 51.85 inches is 0.2033
