Answer:
Explanation:
To find the number of newborn babies weighing between 4 and 7 pounds, we need to calculate the z-scores for these two weights and use the normal distribution table.
For 4 pounds: z = (4 - 5.8) / 2.1 = -0.857
For 7 pounds: z = (7 - 5.8) / 2.1 = 0.571
Using the normal distribution table, the area between z = -0.857 and z = 0.571 is 0.5418.
So, the expected number of newborn babies weighing between 4 and 7 pounds is:
0.5418 x 1100 = 596 (rounded to the nearest whole number)
To find the number of newborn babies weighing less than 6 pounds, we need to calculate the z-score for 6 pounds and use the normal distribution table.
z = (6 - 5.8) / 2.1 = 0.095
Using the normal distribution table, the area to the left of z = 0.095 is 0.5375.
So, the expected number of newborn babies weighing less than 6 pounds is:
0.5375 x 1100 = 591 (rounded to the nearest whole number)
To find the number of newborn babies weighing more than 5 pounds, we need to calculate the z-score for 5 pounds and use the normal distribution table.
z = (5 - 5.8) / 2.1 = -0.381
Using the normal distribution table, the area to the right of z = -0.381 is 0.6499.
So, the expected number of newborn babies weighing more than 5 pounds is:
0.6499 x 1100 = 715 (rounded to the nearest whole number)
To find the number of newborn babies weighing between 5.8 and 10 pounds, we need to calculate the z-scores for these two weights and use the normal distribution table.
For 5.8 pounds: z = (5.8 - 5.8) / 2.1 = 0
For 10 pounds: z = (10 - 5.8) / 2.1 = 1.905
Using the normal distribution table, the area between z = 0 and z = 1.905 is 0.4713.
So, the expected number of newborn babies weighing between 5.8 and 10 pounds is:
0.4713 x 1100 = 518 (rounded to the nearest whole number)