The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. A. Find the probability of getting exactly 1 girl in 8 births. B. Find the probability of getting 1 or fewer girls in 8 births. C. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? A. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability. B.Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. C.Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. This is the correct answer. D.Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability. D. is 1 a significantly low number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. A.No, since the appropriate probability is less than 0.05, it is not a significantly low number. B.No, since the appropriate probability is greater than 0.05, it is not a significantly low number. C.Yes, since the appropriate probability is greater than 0.05, it is a significantly low number. D.Yes, since the appropriate probability is less than 0.05, it is a significantly low number.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children.

A. Find the probability of getting exactly 1 girl in 8 births.

B. Find the probability of getting 1 or fewer girls in 8 births.

C. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)?

A. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability.

B.Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability.

C.Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability.

This is the correct answer.

D.Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability.

D. is 1 a significantly low number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event.

A.No, since the appropriate probability is less than 0.05, it is not a significantly low number.

B.No, since the appropriate probability is greater than 0.05, it is not a significantly low number.

C.Yes, since the appropriate probability is greater than 0.05, it is a significantly low number.

D.Yes, since the appropriate probability is less than 0.05, it is a significantly low number.

### Probability Distribution Table

The table below represents a probability distribution for the number of girls (x) in a series of trials, presumably in a family with eight children. The values in the "P(x)" column indicate the probability of having x number of girls.

| Number of Girls (x) | P(x) |
|---------------------|-------|
| 0 | 0.003 |
| 1 | 0.038 |
| 2 | 0.112 |
| 3 | 0.209 |
| 4 | 0.276 |
| 5 | 0.209 |
| 6 | 0.112 |
| 7 | 0.038 |
| 8 | 0.003 |

**Explanation of the Table:**

- **Number of Girls (x):** Represents the possible number of girls in the trials.
- **P(x):** Represents the probability of having exactly x number of girls.

This distribution is symmetric, indicating that the most likely number of girls is 4, with 0.276 probability, centering around this value. The probabilities decrease symmetrically for fewer or more than 4 girls.

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