Calculate the probability that a randomly selected egg weighs between 62.5 g and 68.75 g. Show your work.

Step-by-step explanation:

Since the overall weight of the eggs produced by a certain breed of hen is Normally distributed with a mean of 65 grams and a standard deviation of 5 grams.

That gives us:

(62.5) = (62.5 - 65) / 5 = -0.50

(68.75) = (68.75 - 65) / 5 = 0.75

Probability(0.62.5<= x <=68.75)

= Probability(-0.5<= z <=0.75)

= 0.4649

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: