Question

1) Suppose that the student score in a high school (X) is normally distributed with a mean of 24.3 and a standard deviation of 4.2. Assume a student who took the test was randomly selected. a) Find the probability that the student's score is less than 20. b) Find the probability that the student's score lies between 25 and 30. c) A random sample of 100 student was selected. What is the probability that the sample average score is between 25 and 30? 2) Suppose that Z is a standard normal random variable, find the following probabilities: a) $P(Z > 1.55)$ b) $P(0.52 < Z < 2.33)$ c) $P(Z > -0.75)$

          1) Suppose that the student score in a high school (X) is normally distributed with
a mean of 24.3 and a standard deviation of 4.2. Assume a student who took the
test was randomly selected.
a) Find the probability that the student's score is less than 20.
b) Find the probability that the student's score lies between 25 and 30.
c) A random sample of 100 student was selected. What is the probability
that the sample average score is between 25 and 30?
2) Suppose that Z is a standard normal random variable, find the following
probabilities:
a) $P(Z > 1.55)$
b) $P(0.52 < Z < 2.33)$
c) $P(Z > -0.75)$

1) Suppose that the student score in a high school (X) is normally distributed with
a mean of 24.3 and a standard deviation of 4.2. Assume a student who took the
test was randomly selected.
a) Find the probability that the student's score is less than 20.
b) Find the probability that the student's score lies between 25 and 30.
c) A random sample of 100 student was selected. What is the probability
that the sample average score is between 25 and 30?
2) Suppose that Z is a standard normal random variable, find the following
probabilities:
a) P(Z > 1.55)
b) P(0.52 < Z < 2.33)
c) P(Z > -0.75)

Added by John B.

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