Question

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let *x* be a
random variable that represents the number of milligrams of
porphyrin per deciliter of blood. In healthy circles, *x* is
approximately normally distributed with mean *μ* = 45 and
standard deviation *σ* = 11. Find the following
probabilities. (Round your answers to four decimal places.)

(a) *x* is less than 60

(b) *x* is greater than 16

(c) *x* is between 16 and 60

(d) *x* is more than 60 (This may indicate an infection,
anemia, or another type of illness.)

Answer #1

Solutions:

Given that,

μ =45 , σ=11

a)

P(X< 60)= p{[(x- μ)/σ]<[(60- 45)/11]}

=P(z<1.36)

=0.9131 ( from Standard Normanl table)

b)P(X>16)=1-P(X<=16)

=1- p{[(x- μ)/σ]<=[(16- 45)/11]}

= 1- P(z<= -2.64)

=1-0.0041 ( from Standard Normanl table)

=0.9959

C)

P(16<X< 60)= p{[(16- 45)/11]<[(x- μ)/σ]<[(60-
45)/11]}

=P(-2.64<Z<1.36)

= p(Z<1.36) - p(Z< -2.64)

= 0.9131- 0.0041 ( from. Standard Normanl table)

=0.9090

D)

P(X>60)=1-P(X<=60)

=1- p{[(x- μ)/σ]<=[(60- 45)/11]}

= 1- P(z<= 1.36)

=1-0.9131 ( from Standard Normanl table)

=0.0869

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let x be a random
variable that represents the number of milligrams of porphyrin per
deciliter of blood. In healthy circles, x is approximately normally
distributed with mean μ = 41 and standard deviation σ = 13. Find
the following probabilities. (Round your answers to four decimal
places.)
(a) x is less than 60
(b) x is greater than 16
(c)...

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let x be a random
variable that represents the number of milligrams of porphyrin per
deciliter of blood. In healthy circles, x is approximately normally
distributed with mean μ = 45 and standard deviation σ = 13. Find
the following probabilities. (Round your answers to four decimal
places.) (a) x is less than 60 (b) x is greater than 16 (c)...

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let x be a random
variable that represents the number of milligrams of porphyrin per
deciliter of blood. In healthy circles, x is approximately normally
distributed with mean μ = 45 and standard deviation σ = 11. Find
the following probabilities. (Round your answers to four decimal
places.)
(a) x is less than 60
(b) x is greater than 16
(c)...

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let x be a random
variable that represents the number of milligrams of porphyrin per
deciliter of blood. In healthy circles, x is approximately normally
distributed with mean μ = 41 and standard deviation σ = 10. Find
the following probabilities. (a) x is less than 60 (b) x is greater
than 16 (c) x is between 16 and 60 (d)...

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let x be a
random variable that represents the number of milligrams of
porphyrin per deciliter of blood. In healthy circles, x is
approximately normally distributed with mean μ = 43 and
standard deviation σ = 14. Find the following
probabilities. (Round your answers to four decimal places.)
(a) x is less than 60
(b) x is greater than 16
(c)...

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let x be a random
variable that represents the number of milligrams of porphyrin per
deciliter of blood. In healthy circles, x is approximately normally
distributed with mean μ = 44 and standard deviation σ = 10. Find
the following probabilities. (Round your answers to four decimal
places.)
(a) x is less than 60
(b) x is greater than 16
(c)...

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let x be a random
variable that represents the number of milligrams of porphyrin per
deciliter of blood. In healthy circles, x is approximately normally
distributed with mean μ = 37 and standard deviation σ = 11. Find
the following probabilities. (Round your answers to four decimal
places.)
a)x is less than 60
(b) x is greater than 16
(c) x...

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let x be a random
variable that represents the number of milligrams of porphyrin per
deciliter of blood. In healthy circles, x is approximately normally
distributed with mean μ = 37 and standard deviation σ = 11. Find
the following probabilities. (Round your answers to four decimal
places.)
(a) x is less than 60
(b) x is greater than 16
(c)...

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let x be a
random variable that represents the number of milligrams of
porphyrin per deciliter of blood. In healthy circles, x is
approximately normally distributed with mean μ = 43 and
standard deviation σ = 13. Find the following
probabilities. (Round your answers to four decimal places.)
(a) x is less than 60
(b) x is greater than 16
(c)...

Porphyrin is a pigment in blood protoplasm and other body fluids
that is significant in body energy and storage. Let x be a
random variable that represents the number of milligrams of
porphyrin per deciliter of blood. In healthy circles, x is
approximately normally distributed with mean μ = 44 and
standard deviation σ = 11. Find the following
probabilities. (Round your answers to four decimal places.)
(a) x is less than 60
(b) x is greater than 16
(c)...

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