the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.1 inches, and standard deviation of 2.7 inches. A) What is the probability that a randomly chosen child has a height of less than 51.85 inches?
Accepted Solution
A:
Answer:The probability that a randomly chosen child has a height of less than 51.85 inches is 0.2033Step-by-step explanation:Mean = 54.1 inches Standard deviation = 2.7 inchesWe are supposed to find the probability that a randomly chosen child has a height of less than 51.85 inchesP(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 = 0.2033Hence the probability that a randomly chosen child has a height of less than 51.85 inches is 0.2033