MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Binomial to Normal Probability Conversion**

Ten percent of the population is left-handed. A class of 100 students is selected. Convert the binomial probability P(x > 12) to a normal probability by using the correction for continuity.

- **A.** P(x < 11.5)
- **B.** P(x ≤ 12.5)
- **C.** P(x ≥ 11.5)
- **D.** P(x > 12.5)

**Explanation:**

The question involves converting a binomial probability to a normal probability. The continuity correction adjusts for the fact that a continuous distribution (the normal distribution) is used to approximate a discrete distribution (the binomial distribution). This is done by adjusting the value of x by 0.5 in the direction that includes the value in question.
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Transcribed Image Text:**Binomial to Normal Probability Conversion** Ten percent of the population is left-handed. A class of 100 students is selected. Convert the binomial probability P(x > 12) to a normal probability by using the correction for continuity. - **A.** P(x < 11.5) - **B.** P(x ≤ 12.5) - **C.** P(x ≥ 11.5) - **D.** P(x > 12.5) **Explanation:** The question involves converting a binomial probability to a normal probability. The continuity correction adjusts for the fact that a continuous distribution (the normal distribution) is used to approximate a discrete distribution (the binomial distribution). This is done by adjusting the value of x by 0.5 in the direction that includes the value in question.
**Problem Statement:**

Assume that blood pressure readings are normally distributed with a mean of 122 and a standard deviation of 9.6. If 144 people are randomly selected, find the probability that their mean blood pressure will be less than 124.

**Options:**

A. 0.8615  
B. 0.9938  
C. 0.0062  
D. 0.8819  

(Note: There are no graphs or diagrams in this image to explain.)
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Transcribed Image Text:**Problem Statement:** Assume that blood pressure readings are normally distributed with a mean of 122 and a standard deviation of 9.6. If 144 people are randomly selected, find the probability that their mean blood pressure will be less than 124. **Options:** A. 0.8615 B. 0.9938 C. 0.0062 D. 0.8819 (Note: There are no graphs or diagrams in this image to explain.)
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