Math, asked by nepalshriti, 1 year ago

A normal curve has μ = 20 and σ = 10. find the area between x1 = 15 and x2 = 40.

sharmanidhi1105: i m also having doubt in the same questn...Plz anyone help

mathdude200: plz

mathdude200: ask what the doubt

mathdude200: in values

sharmanidhi1105: how to proceed for solution... how to refer the chart for values?

mathdude200: can u have normal distribution curve value chart with u

mathdude200: right now

sharmanidhi1105: yes

sharmanidhi1105: plz help me how to read the table... i m getting value for 2 as .9772 and -0.5 as 0.30854...how to proceed after this

Answers

Answered by mathdude200

check the attachment

Attachments:

sharmanidhi1105: 0.30854+0.9772=1.285?

Answered by Shaizakincsem

Thank you for asking this question:

We know that X will follow the normal distribution.

The mean is Ч = 20

We know that z = x - Ч / б = x -20/10 -- (equation 1)

Now we will put the values of x in this equation:

x = 15, z = -0.5

x=40, z=2

From the probability we will be able to get this:

P (15 < X < 40) = P (-0.5 < Z < 2) = P (Z<2) - P(Z < - 0.5)

And for the Z table we will get this:

P (Z <2) - P(Z < -0.5)

= 0.9972 - 0.3085

= 0.668

So the area between the curve would be 0.668

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