19.7k views
0 votes
Let X be a binomial random variable with p=0.5 and n=10. Calculate the following Probabilities from the binomial probability mass function. Round your answers to four decimal places.

a.) P(X<_ 2)

b.) P(X=4)

c.) P(X>8)

d.) P(3<_ X<5)

User Spersico
by
7.7k points

1 Answer

4 votes

Final answer:

To calculate the probabilities, we use the binomial distribution formula based on the given parameters.

Step-by-step explanation:

To calculate the probabilities from the binomial probability mass function, we can use the binomial distribution formula. Let X be a binomial random variable with p=0.5 and n=10.

a) To find P(X ≤ 2), we need to calculate P(X = 0) + P(X = 1) + P(X = 2). Using the binomial distribution formula, we can calculate these probabilities and add them up to get the answer.

b) To find P(X = 4), we use the binomial distribution formula to calculate this specific probability.

c) To find P(X > 8), we need to calculate P(X = 9) + P(X = 10). Using the binomial distribution formula, we can calculate these probabilities and add them up.

d) To find P(3 ≤ X < 5), we need to calculate P(X = 3) + P(X = 4). Using the binomial distribution formula, we can calculate these probabilities and add them up to get the answer.

User LionKing
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.