Applications with Standard Normal Distribution — Quiz

Question 1

For a standard normal distribution, find the approximate value of mathrm cap p open paren z is less than or equal to 0 point 4 2 close paren Use the portion of the standard normal table to help answer the question. z Probability 0 point 0 0 0 point 5 0 0 0 0 point 2 2 0 point 5 8 7 1 0 point 3 2 0 point 6 2 5 5 0 point 4 2 0 point 6 6 2 8 0 point 4 4 0 point 6 7 0 0 0 point 6 4 0 point 7 3 8 9 0 point 8 4 0 point 7 9 9 5 1 point 0 0 0 point 8 4 1 3

Revolt · Accepted Answer

66 percent

Question 2

The probability that a random variable is greater than or equal to z standard deviations from the mean in a standard normal distribution is p percent What can be said with certainty about the probability that the random variable is less than or equal to negative z standard deviations from the mean?

Revolt · Accepted Answer

The probability is equal to p percent .

Question 3

The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. What is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? Use the portion of the standard normal table to help answer the question. z Probability 0 point 0 0 0 point 5 0 0 0 0 point 5 0 0 point 6 9 1 5 1 point 0 0 0 point 8 4 1 3 2 point 0 0 0 point 9 7 7 2 3 point 0 0 0 point 9 9 8 7

Revolt · Accepted Answer

16 percent

Question 4

For a standard normal distribution, which of the following variables always equals 1 ?

Revolt · Accepted Answer

sigma

Question 5

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution?

Revolt · Accepted Answer

95 percent

Question 6

For a standard normal distribution, which of the following variables always equals 0 ?

Revolt · Accepted Answer

mu

Question 7

Which of the following statements is equivalent to cap p times open paren z is greater than or equal to 1 point 7 close paren ?

Revolt · Accepted Answer

1 minus cap p times open paren z is greater than or equal to negative 1 point 7 close paren

Question 8

A normal distribution of data has a mean of 15 and a standard deviation of 4 How many standard deviations from the mean is 25 ?

Revolt · Accepted Answer

2 point 5

Question 9

For a standard normal distribution, find the approximate value of cap p times open paren z is greater than or equal to negative 1 point 2 5 close paren Use the portion of the standard normal table to help answer the question. z Probability 0 point 0 0 0 point 5 0 0 0 0 point 2 5 0 point 5 9 8 7 1 point 0 0 0 point 8 4 1 3 1 point 2 5 0 point 8 9 4 4 1 point 5 0 0 point 9 3 3 2 1 point 7 5 0 point 9 5 9 9

Revolt · Accepted Answer

89 percent

Question 10

For a standard normal distribution, if cap p times open paren z is less than or equal to A close paren is equal to 0 point 7 1 1 6 , what is the value of cap p times open paren z is greater than or equal to A close paren ?

Revolt · Accepted Answer

0 point 2 8 8 4

Applications with Standard Normal Distribution — Quiz Answers

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