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On the daily run of an express bus, the average number of passengers is 48. The standard deviation is 3. Assume the data are normally

  1. On the daily run of an express bus, the average number of passengers is 48. The standard deviation is 3. Assume the data are normally distributed. Find the probability that the bus will have between 47 and 53 passengers on a randomly selected day. Give your answer as a percent rounded to two decimal places (to the nearest hundredth).
  2. On the daily run of an express bus, the average number of passengers is 48. The standard deviation is 3. Assume the data are normally distributed. Find the probability that the bus will have between 38 and 42 passengers on a randomly selected day. Give your answer as a percent rounded to two decimal places (to the nearest hundredth).
  3. Use thenormalcdffeature on the calculator to find the specified area under the standard normal distribution curve. Round your answers to four decimal places (to the nearest ten-thousandth).

To the right of z = 1.13

0.1272

0.292

0.1292

0.2292

  1. Use thenormalcdffeature on the calculator to find the specified area under the standard normal distribution curve. Round your answers to four decimal places (to the nearest ten-thousandth).

To the left of z = 1.24

0.8220

0.7725

0.9259

0.8925

  1. The area under the standard normal distribution curve from negative infinity to infinity is 1. True or false
  2. A region to the left of the y-axis under the standard normal distribution curve will have a negative area. True or false
  3. If 64% of all Americans have a pet dog, find the probability that 3 randomly selected Americans will all have a pet dog. Give your answer as a percent value rounded to the nearest hundredth (two decimal places).
  4. If 46% of all Americans have a pet dog, find the probability that 3 randomly selected Americans will all have a pet dog. Give your answer as a percent value rounded to the nearest hundredth (two decimal places)

Use a combination or a permutation to answer the following question.

  1. A club has 11 members.How many different 4 member committees could be formed from this club?

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