Question 1199705: Suppose that the weight of navel oranges is normally distributed with mean 8 ounces ,and standart deviation 1.5 ounces.ıf you randomly select a navel orange ,what is the probabilty that it weighs.
a} more than 11.5 ounces ?
b} between 6.2 and 7 ouncles?
c} ıf the randomly selected navel orange weighs more than X value has a probalitiy 89.07% find the value of X
Answer by ikleyn(52786)   (Show Source):
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Suppose that the weight of navel oranges is normally distributed with mean 8 ounces,
and standart deviation 1.5 ounces. If you randomly select a navel orange,
what is the probabilty that it weighs.
a} more than 11.5 ounces ?
b} between 6.2 and 7 ouncles?
c} ıf the randomly selected navel orange weighs more than X value has a probalitiy 89.07%
find the value of X
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(a) This probability is the area under the given specified normal curve
on the right of the raw mark z= 11.5 ounces.
Use the function normalcdf on your TI calculator
z1 z2 mean SD <<<---=== format
p = normalcdf(11.5, 9999, 8, 1.5) = . . .
For instructions on this function normalcdf, if you need them, see the link
https://www.usu.edu/math/cfairbourn/calculatorhelps/normalcdfti-84.pdf
(b) This probability is the area under the given specified normal curve
between the raw marks z= 6.2 and z= 7 ounces
Use the function normalcdf on your TI calculator
z1 z2 mean SD <<<---=== format
p = normalcdf(6.2, 7, 8, 1.5) = . . .
For instructions on this function normalcdf, if you need them, see the link
https://www.usu.edu/math/cfairbourn/calculatorhelps/normalcdfti-84.pdf
(c) This probability is the raw mark, such that the area under the specified normal curve
on the left of this mark is 1-0.8907 = 0.1093.
Use the function invNormal on your TI-83 / TI-84 calculator
probability mean SD <<<---=== format
p = invNorm(0.1093, 8, 1.5) = . . .
For instructions on this function invNorm, if you need them, see the link
https://www.statology.org/invnorm-ti-84/
Solved - - - you got full instruction set among with all necessary explanations.
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