Math Problem Statement

A random variable X follows Binomial distribution, where you roll a die 10 times. What's the probability that you roll a five 6 times?

No Correct Answer

A

0.00013

B

0.000052

C

0.013

D

None of the above

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution
Combinatorics

Formulas

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
C(n, k) = n! / (k!(n-k)!)

Theorems

Binomial Theorem

Suitable Grade Level

Grades 10-12