Homework Sourse0375 The table above lists probabilities for the correspondi
0.375
The table above lists probabilities for the corresponding numbers of girls in three births. What is the random variable, what are its possible values, and are its values numerical?
Is the random variable in the table above discrete or continuous? Explain.
Does the table above describe a probability distribution? Show how the requirements are satisfied or are not satisfied?
For 200 births, the probability of exactly 90 girls is 0.0208 and the probability of 90 or fewer girls is 0.089.
Are exactly 90 girls in 200 births unlikely?
Among 200 births, is 90 girls an unusually low number of girls?
| number of girl x | p(x) |
| 0 | 0.125 |
| 1 | 0.375 |
| 2 | 0.375 |
| 3 | 0.125 |
Solution
The table above lists probabilities for the corresponding numbers of girls in three births. What is the random variable, what are its possible values, and are its values numerical?
random variable: number of girls in three births.
possible values: 0,1,2,3
P(X=0) =0.125
P(X=1)=0.375
P(X=2)=0.375
P(X=3) =0.125
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Is the random variable in the table above discrete or continuous? Explain.
discrete because Discrete data is counted
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Does the table above describe a probability distribution? Show how the requirements are satisfied or are not satisfied?
Yes, because all sum value of P(X) is equal to 1
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For 200 births, the probability of exactly 90 girls is 0.0208 and the probability of 90 or fewer girls is 0.089.
Are exactly 90 girls in 200 births unlikely?
Yes, becaus the probability is 0.0208 which is less than 0.05
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Among 200 births, is 90 girls an unusually low number of girls?
No, because the probability is 0.089 which is greater than 0.05
