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? Use the appropriate applet.

Probability that a randomly selected newborn is low-weight is 0.1038.

Step-by-step explanation:

We are given that the birth weights of full-term babies in a certain area are normally distributed with mean 7.13 pounds and standard deviation 1.29 pounds.

Also, a newborn weighing 5.5 pounds or less is a low-weight baby.

Let X = weights of full-term babies

So, X ~ N()

The z score probability distribution is given by;

                 Z = ~ N(0,1)

where, = mean weight = 7.13 pounds

            = standard deviation = 1.29 pounds

So, probability that a randomly selected newborn is low-weight is given by = P(X 5.5 pounds)

    P(X 5.5 pounds) = P( ) = P(Z -1.26) = 1 - P(Z < 1.26)

                                                                    = 1 - 0.8962 = 0.1038

Hence, probability that a randomly selected newborn is low-weight is 0.1038.

2500

step-by-step explanation:

x=6 and x=3

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