# (Answered) MATH399N Week 5 Assignment:Probability Using the Normal Distribution

Question

As in the previous problem, a fair coin is flipped 80 times. If X is the number of heads, then the distribution of X can be approximated with a normal distribution, N(40,4.5), where the mean (μ) is 40 and standard deviation (σ) is 4.5.

Using this approximation, find the probability of flipping 43, 44, or 45 heads. You may use the portion of the Standard Normal Table below. Round the final answer to two decimal places.

Question

A fair coin is flipped 80 times. Let X be the number of heads. What normal distribution best approximates X?

• Round to one decimal place if entering a decimal answer below.

Question

Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution. What is the probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean is 47 words per minute and the standard deviation is 4 words per minute? Use the empirical rule.

• Provide the final answer as a percent.

Question

Nick has collected data to find that the body weights of the forty students in a class has a normal distribution. What is the probability that a randomly selected student has a body weight of greater than 169 pounds if the mean is 142 pounds and the standard deviation is 9 pounds? Use the empirical rule.

• Provide the final answer as a percent rounded to two decimal places.

Question

Find the area to the right of the z-score 1.39 and to the left of the z-score 1.53 under the standard normal curve.

Use the value(s) from the table above.

Question

Determine the area under the standard normal curve that lies to the right of the z-score of 1.73.

Use the value(s) from the table above.

# Question

As in the previous problem, a fair coin is flipped 28 times. If X is the number of heads, then the distribution of X can be approximated with a normal distribution, N(14,2.6), where the mean (μ) is 14 and standard deviation (σ) is 2.6.

Using this approximation, find the probability of flipping 18 or 19 heads. You may use the portion of the Standard Normal Table below.

Question

A fair coin is flipped 28 times. Let X be the number of heads. What normal distribution best approximates X?

• Round to one decimal place if entering a decimal answer below.

Question

Determine the area under the standard normal curve that lies to the right of the z-score −0.97 and to the left of the z-score −0.59.

Question

After collecting the data, Christopher finds that the total snowfall per year in Reamstown is normally distributed with mean 94 inches and standard deviation 14 inches. What is the probability that, in a randomly selected year, the snowfall was greater than 52 inches? Use the empirical rule.

• Provide the final answer as a percent rounded to two decimal places.

Question

Brenda has collected data to find that the finishing times for cyclists in a race has a normal distribution. What is the probability that a randomly selected race participant had a finishing time of greater than 154 minutes if the mean is 143 minutes and the standard deviation is 11 minutes? Use the empirical rule.

• Provide the final answer as a percent.

Question

Determine the area under the standard normal curve that lies to the right of the z-score 0.48 and to the left of the z-score 0.79.

….Click link below to purchase full tutorial at \$5