Pearl Carney
2021-11-19
Ancessitere
Beginner2021-11-20Added 17 answers
Step 1
Solution:
Let X be the number of female births and n be the sample number of births.
From the given information, probability of male birth is 0.40 and
Step 2
Here, births are independent and probability of success is constant. Hence, X follows binomial distribution with parameters
The probability mass function of binomial random variable X is
Step 3
a. The probability that the number of female births is 9 in the next 20 births is
The probability that the number of female births is 9 in the next 20 births is 0.0710.
Step 4
b. The probability that the number of female births is less than 18 in the next 20 births is
The probability that the number of female births is less than 18 in the next 20 births is 0.9964.
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