Calculation of probability based on normal distribution, Z scores and Percentiles
Not what you're looking for?
Please show all work such as formula commands.
The amount of money that a family of four will spend at Kings Island, including the food and souvenirs, is $130 with a standard deviation of $12. Assume that this distribution is normal.
1. Find the probability that a particular family of four selected at random spends between $150 and $200?
2. What is the probability that the family spends less than $140?
3. What is the probability that the family spends more than $170?
4. What is the probability that the family spends between $130 and $190? (Draw a graph to illustrate your results)
5. Find the cost that represents the 50th percentile.
6. Find the cost that represents the 90th percentile.
7. 5% of the families spend below what value?
8. The top 5% of the families spend above what value?
9. Between what two values will the middle 50% of the families spend?
10. What percent of the families spend at least $120?
11. Use the empirical rule to determine the following:
A About 68% of the observations lie between what two values?
B About 95% of the observations lie between what two values?
C About 99% of the observations lie between what two values?
12. Use the standard normal distribution to determine the following
A 68% of the observations lie between what two values?
B 95% of the observations lie between what two values?
C 99% of the observations lie between what two values?
13. Discuss the differences in the results for question 12 and question 11
Purchase this Solution
Solution Summary
The solution gives the details of calculation of probability, Z scores and percentiles based on a normal distribution.
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.