Standard Normal Distribution Table a. If a baby girl is born, determine the probability that her birth length will be: (i) Less than 51 cm P(X<51) L 0 (ii) Greater than 52.8 cm P(X> 52.8) = (iii) Between 45.3 and 49.3 cm P (45.3 < X < 49.3) = 0

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The lengths of newborn baby girls are normally distributed with a mean of 49.4 cm
and a standard deviation of 1.94 cm.
Standard Normal Distribution Table
a. If a baby girl is born, determine the probability that her birth length will be:
(i) Less than 51 cm
P(X<51) [
0
Question 8 of 12
(ii) Greater than 52.8 cm
P(X> 52.8) =
(iii) Between 45.3 and 49.3 cm
P (45.3 < X <49.3) =
0
Transcribed Image Text:The lengths of newborn baby girls are normally distributed with a mean of 49.4 cm and a standard deviation of 1.94 cm. Standard Normal Distribution Table a. If a baby girl is born, determine the probability that her birth length will be: (i) Less than 51 cm P(X<51) [ 0 Question 8 of 12 (ii) Greater than 52.8 cm P(X> 52.8) = (iii) Between 45.3 and 49.3 cm P (45.3 < X <49.3) = 0
(iii) Between 45.3 and 49.3 cm
P (45.3 < X < 49.3) =
=
(ii) 91st percentile
X =
0.00 cm
Round to 2 decimal places
b. Determine the lengths of newborn baby girls that correspond to the:
(i) 3rd percentile
X =
0.00 cm
Round to 2 decimal places
(iii) Middle 50%
0
0.00 cm <x<
Round to 2 decimal places
Question 8 of 12
0.00 cm
Transcribed Image Text:(iii) Between 45.3 and 49.3 cm P (45.3 < X < 49.3) = = (ii) 91st percentile X = 0.00 cm Round to 2 decimal places b. Determine the lengths of newborn baby girls that correspond to the: (i) 3rd percentile X = 0.00 cm Round to 2 decimal places (iii) Middle 50% 0 0.00 cm <x< Round to 2 decimal places Question 8 of 12 0.00 cm
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