The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with an average weight of 5 lbs and a standard deviation of 2 lb. if a newborn baby boy, born at the local hospital, is randomly selected, find the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs.

0.4987

Step-by-step explanation:

Given : The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with

Mean :

Standard deviation :

Let X be the random variable that represents the weight of randomly selected student .

Z score :

For x = 5 lbs

For x = 11 lbs

By using the standard normal distribution table ,  the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs :-

Hence, the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs =0.4987

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.