Table of contents

1. Introduction to Statistics53m
2. Describing Data with Tables and Graphs2h 1m
3. Describing Data Numerically1h 48m
4. Probability2h 26m
5. Binomial Distribution & Discrete Random Variables2h 55m
6. Normal Distribution & Continuous Random Variables1h 48m
7. Sampling Distributions & Confidence Intervals: Mean2h 8m
8. Sampling Distributions & Confidence Intervals: Proportion1h 20m
- Sampling Distribution of Sample Proportion
  35m
- Confidence Intervals for Population Proportion
  45m
9. Hypothesis Testing for One Sample2h 23m
10. Hypothesis Testing for Two Samples3h 25m
11. Correlation1h 6m
12. Regression1h 4m
13. Chi-Square Tests & Goodness of Fit1h 30m
14. ANOVA1h 4m

4. Probability

Basic Concepts of Probability

Statistics for Business

4. Probability

Basic Concepts of Probability

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Multiple Choice

Which proportion can be used to find 65% of 90?

100/65 × 90

65/90 × 100

90/65 × 100

65/100 × 90

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Verified step by step guidance

Step 1: Understand the problem. The goal is to find 65% of 90. In percentage problems, 'of' typically means multiplication, and percentages are expressed as fractions or decimals.

Step 2: Recall the formula for calculating a percentage of a number. To find x% of a number y, the formula is: \( \frac{x}{100} \times y \).

Step 3: Substitute the given values into the formula. Here, x = 65 (the percentage) and y = 90 (the number). The formula becomes: \( \frac{65}{100} \times 90 \).

Step 4: Compare the given options to the formula. The correct proportion that matches \( \frac{65}{100} \times 90 \) is the last option: \( 65/100 \times 90 \).

Step 5: Verify the reasoning. The other options do not correctly represent the calculation for finding 65% of 90. For example, \( 100/65 \times 90 \) and \( 90/65 \times 100 \) do not align with the percentage formula.