Question

1- Find the area under the standard normal curve between z=0.76 and z=1.90.

Round your answer to four decimal places.

2- Find the area under the standard normal curve between z=-2.49 and z=-0.44.

Round your answer to four decimal places.

3- Find the area under the standard normal curve between z=-2.26 and z=1.88.

Round your answer to four decimal places.

4- Find the area under the standard normal curve to the right of z=2.37.

Round your answer to four decimal places.

5- Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value less than 48.

Round your answer to four decimal places.

Answer 1

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mu = 65
sd = 15

P(X<48) = P( {x-mu}/sd < {48 - 65}/15 ) = P(Z < -1.33) = 0.0912

again using normal distribution curve

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