The random variable X has a binomial distribution with n = 10 and p = 0.03. Determine the following probabilities. Round your answers to six decimal places (e.g. 98.765432). (a) P(X = 5) = (b) P(X ? 2) = (c) P(X ? 9) = (d) P(3 ? X < 5) =
Added by Sergio B.
Close
Step 1
Since X has a binomial distribution, we can use the formula for the probability mass function (PMF) of a binomial distribution: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where (n choose k) is the binomial coefficient, given by (n! / (k! * (n-k)!)). For P(X), Show more…
Show all steps
Your feedback will help us improve your experience
Chai Santi and 50 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The random variable X has binomial distribution with n = 10 and p = 0.03. Determine the following probabilities: (a) P(X = 5) = 0.000005 (b) P(X ≤ 2) = 0.997235 (c) P(X ≥ 9) = 0.000000 (d) P(3 ≤ X < 5) = 0.002765
Sri K.
The random variable $X$ has a binomial distribution with $n=10$ and $p=0.01$. Determine the following probabilities. a. $P(X=5)$ b. $P(X \leq 2)$ c. $P(X \geq 9)$ d. $P(3 \leq X<5)$
Thuc N.
The random variable X has a binomial distribution with n = 10 and p = 0.3. Determine the following (a) E(X) (b) V(X) (c) P(X=6) (d) P(X<=3) (e) P(2<X<=6) (f) P(4<X<=8 | 2<=X<6 )
David N.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD