SOLUTION: A certain apathetic network shows episodes of "Charmed" randomly, without any concern for the proper order, multi-part episodes, or for when the episode last aired. They simply ran

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Question 851265: A certain apathetic network shows episodes of "Charmed" randomly, without any concern for the proper order, multi-part episodes, or for when the episode last aired. They simply randomly pick one of the episode every day to show. 66 episodes of "Charmed" feature Prue, and 112 feature Paige.
Probability of Prue= 0.37
Probability of Paige= 0.63
1. What is the probability that in 200 consecutive airings, we will have less than 64 Prue episodes? (To four decimal points)
2. What is the probability that in 200 consecutive airings, we will have at least 64 Prue episodes?
3. Find the probability that in 200 consecutive airings, we will have between 64 and 86 Prue episodes.
4. Find the probability that in 200 consecutive airings, we will have less than 30% Prue episodes.
5. What is the probability that in 200 consecutive airings, we will have more than 38% Prue episodes?
6. What is the probability that in 200 consecutive airings, we will have between 30% and 38% Prue episodes?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

using TI

1 P(x< 64) =   binomcdf(200, .37, 63).

2  P(x≥ 64)=  1 - binomcdf(200, .37, 63)

3  P = binomcdf(200, .37, 85) - binomcdf(200, .37, 63)

4   P(x<60)= binomcdf(200, .37, 59)

5   P(x>76)= 1 - binomcdf(200, .37, 76)

6  P = =  binomcdf(200, .37, 75) - binomcdf(200, .37, 59)

 

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