Binomial Probability 1. Assume a hotel has 5 elevators and one of the elevators is a freight elevator. When pressing the elevator button, one of the elevators randomly services your floor. Assume you use the elevator eight times during your stay at the hotel. a. What is the probability you will use the freight elevator exactly 3 times? The following equation will assist you in solving this problem. ()pk (1-p)n-k. b. What is the probability you will use the freight elevator at most 3 times? The following equation will assist you in solving this problem. ()pk(1-p)n-k.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**Binomial Probability**

1. Assume a hotel has 5 elevators and one of the elevators is a freight elevator. When pressing the elevator button, one of the elevators randomly services your floor. Assume you use the elevator eight times during your stay at the hotel.

   a. What is the probability you will use the freight elevator exactly 3 times? The following equation will assist you in solving this problem. 
   
   \[
   \binom{n}{k}p^k(1 - p)^{n-k}
   \]

   b. What is the probability you will use the freight elevator at most 3 times? The following equation will assist you in solving this problem. 
   
   \[
   \binom{n}{k}p^k(1 - p)^{n-k}
   \]

There are no graphs or diagrams present in the image.
Transcribed Image Text:**Binomial Probability** 1. Assume a hotel has 5 elevators and one of the elevators is a freight elevator. When pressing the elevator button, one of the elevators randomly services your floor. Assume you use the elevator eight times during your stay at the hotel. a. What is the probability you will use the freight elevator exactly 3 times? The following equation will assist you in solving this problem. \[ \binom{n}{k}p^k(1 - p)^{n-k} \] b. What is the probability you will use the freight elevator at most 3 times? The following equation will assist you in solving this problem. \[ \binom{n}{k}p^k(1 - p)^{n-k} \] There are no graphs or diagrams present in the image.
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