Birth weights of full-term babies in a certain area are normally distributed with mean 7.13 pounds and standard deviation 1.29 pounds. A newborn weighing 5.5 pounds or less is a low-weight baby. What is the probability that a randomly selected newborn is low-weight? Do not round, and do not convert the probability as a percentage.

Step-by-step explanation:

Birth weights of full term babies are normally distributed with mean 7.13 pounds and standard deviation 1.29 pounds. Using normal distribution,

z = (x - μ) / σ

Where μ = mean

σ = standard deviation.

x = Birth weights of full term babies

From the information given,

μ = 7.13

σ = 1.29

x = 5.5

the probability that a randomly selected newborn is low-weight means that the newborn is weighing 5.5 pounds or less.

For P (x lesser than or equal to 55),

Z = (5.5-7.13) / 1.29 = - 1.63 / 1.29 = - 1.263

From the normal distribution table, the value of z = - 1.263 = 0.1038

P (x lesser than or equal to 55) = 0.104