Question

Data Analysis and Probability:

For Questions 6-7: A normal distribution has a mean of 2.5 and a standard deviation of 0.6. Find the probability that a randomly selected x-value from the distribution is in the given interval. Round your decimal answer to the nearest hundredth and your percent to the nearest whole number.

6) Between 3.3 and 3.9

7) At least 2.1

8) After sending, the email of a certain system has normally distributed arrival times with a mean of 8 seconds and a standard deviation of 4 seconds. What is the probability that a randomly selected email will take longer than 16 seconds to arrive? Round your decimal answer to the nearest hundredth and your percent to the nearest whole number.

8) _____________________

9) Identify the type of sample described. Then tell if the sample is biased.

The city planning department would like to know the public’s perception of the new city park. They send a survey to every household in the community asking their opinion and use the returned surveys to determine the perception.

8) ______________________

Answer 1

As data is normally distributed find its probability using Z score with help of standard normaly distribution table

Z score =(X - mean) /standard deviation

6) P( 3.3 < X<3.9) =0.08 (in decimal upto hundredth) =8℅

7) P(X>2.1) =0.75= 75℅

8) P(X > 16) =0.02= 2℅

Solution file is attached go through it

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