Suppose a certain breed of piglets have a sex-ratio

ka1leE

ka1leE

Answered question

2021-09-22

Suppose a certain breed of piglets have a sex-ratio of 0.54 (that is the probability of male piglets). If 5 piglets were born, what is the probability that 3 of them are male?

Answer & Explanation

Szeteib

Szeteib

Skilled2021-09-23Added 102 answers

Step 1
Concept: By considering binomial probability we can solve this question.
Given: Total number of trials, n=5.
The number of success, x=3.
Probability of success (probability of male piglets born), p=0.54.
Probability of failure(probability of female piglets born), q=1p=10.54=0.46
Step 2
The binomial probability distribution is given as:
B(n,p)=nCxpxqnx;x=0,1,2, and all the notations are as defined above in given.
P(3of the piglets born were male)=p(X=3)
=5C3(0.54)3(0.46)52
=10×0.1574×0.2116
=0.33319
eq0.33
Step 3
Answer: The probability that 3 of them are male is 0.33.

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