please help me solve this problem about binomial probability
Liz and Robert are competing to see who can ride their bikes around the neighborhood faster.
Robert wins 55% of the time.If they race ten times, what is the probability that Robert
will win 7 of the races?
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This problem is about binomial probability (as you just know).
The number of trials is n= 10; the number of successful trials is k= 7; the probability of success for each single individual trial is p= 0.55.
A general formula to calculate the probability of k success of n trials is P(n,k,p) = ,
where = are binomial coefficients.
Substituting given values into the formula, you get
P(n=10, k=7, p= 0.55) = = = 0.1665 (rounded). ANSWER
Solved.
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If you want to see many similar (or different) solved problems, look into the lessons
- Simple and simplest probability problems on Binomial distribution
- Typical binomial distribution probability problems
in this site.
After reading these lessons, you will be able to solve such problems on your own.