In a recent year, 35% of Americans said they were planning to watch the World Cup soccer tournament. What is the probability that in a random sample of 50 people, fewer than 20 people plan to watch the world cup? Assume that the variable is normally distributed.
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Question 1
1.
Which correction factor should you use?
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Question 2
2.
What are the mean \mu and standard deviation \sigma for the binomial distribution? Round to the nearest thousandth when necessary.
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Question 3
3.
Type the calculator function with the correct values for finding the probability. Hint: start with normalcdf(
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Question 4
4.
What is the probability of fewer than 20 people watching from a random sample of 50. Round to the thousandths.
For problems 5-6
The mean recovery time for patients with a certain virus is 5.75 days with a standard deviation of 2.2 days. Assume that the variable is normally distributed.
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Question 5
5.
Find the probability of an average recovery time of less than 5 days for a random sample of 80 people.
Which of the following is the appropriate calculator function and values.
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Question 6
6.
In a random sample of 100 people, find the probability that the average recovery time is between 4.25 and 5.25 days. Round to the nearest thousandth.
For problems 7 - 8
A driving instructor has found that 15% of students cancel or forget about lessons. Assume that the variable is normally distributed. Don't forget the correction factor (see problem #1 for the table). Round to the nearest thousandth.
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Question 7
7.
If the instructor has 50 students, what is the probability that more than 10 of the students will miss a lesson?
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Question 8
8.
What is the probability that out of 50 students, exactly 10 will miss a lesson?
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Question 9
9.
A multiple choice test consists of 40 questions, with possible answers A, B, C, D, and E. Find the probability that, with random guessing, the number of correct answers will be each of the following. Match the possbile number of correct answers to the probability. Hint: there is a 1/5 chance of being correct. Don't forget the correction factor (see problem #1 for the table).
Draggable item
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Corresponding Item
between 16 and 24
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0.995
more than 18
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0.115
less than 15
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0.0000166
at least 8
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0.000390
exactly 10
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0.578
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Question 10
10.
The average number of tourists that visit a national monument every month is 60,000, with a standard deviation of 9,500. Assume that the variable isnormally distributed. If a sample of 10 months is selected, find the probability that there would be fewer than 55,000 visiting tourists in any given month. Round to the nearest thousandth.