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1. A sample of n = 25 observations is drawn from a normal population with = 1,000 and = 250. Find P (X > 1,050)

1. A sample of n = 25 observations is drawn from a normal population with = 1,000 and = 250. Find P (X > 1,050)

2. The manufacturer of packs of vegetables that are supposed to have a net weight of 6 ounces tells you that the net weight is a normal random variable with a mean of 6.05 ounces and a standard deviation of .18 ounces. Suppose that you draw a random sample of 25 packs. Find the probability that the mean weight of the sample is less than 5.97 ounces

3. An exam grade data for a statistics class has been observed to have a mean of 36.12 and standard deviation of 3.53.

What is the probability that the exam scores are between 34 and 37?

4. The following table provides a probability distribution for the random variable x.

X P(X)
4 0.3
6 0.46
8 0.88
10 0.36

Calculate the Standard Deviation of x.

Can you solve these questions using excel? thank you!! i need to know how to do it on excel

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