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I need help with this problem set. Please show calculations where applicable. Can you help?
Question 1
Which of the following is an example of continuous data?
The number of customers a restaurant serves each day in a given week.
The number of defective coins minted each day for a given year.
The temperature taken at noon on each day in the month of January
The number of babies born at a hospital on each day for a given month.
Question 2
What is the mean of a standard normal distribution?
Question 3
What is the standard deviation of a standard normal distribution?
Question 4
For a standard normal distribution, determine the probability that z is less than or equal to 1.56.
Question 5
For a standard normal distribution, determine the probability that z is greater than -0.38.
Question 6
A random variable follows a normal distribution with a mean of 126 and a standard deviation of
26.
What is the probability that a randomly selected value from this population is less than or equal
to 140?
Question 7
A random variable follows a normal distribution with a mean of 126 and a standard deviation of
26.
What is the probability that a randomly selected value from this population is between 105 and
140?
Question 8
A random variable follows a uniform distribution between 25 and 45.
What is the mean of this distribution?
Question 9
A random variable follows a uniform distribution between 25 and 45.
What is the standard deviation of this distribution?
Question 10
A random variable follows a uniform distribution between 25 and 45.
What is the probability that a randomly selected value from this population is less than or equal
to 35?
Question 11
A random variable follows a uniform distribution between 25 and 45.
What is the possibility that the observed value is exactly equal to 34?
Subject:
Math, Statistics and Probability
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