! Required information The distance advanced in a day by a tunnel boring machine, in meters, is uniformly distributed on the interval (31.00, 50). Suppose the distances advanced on different days are independent. What is the probability the machine advances more than 45 meters on exactly four out of 10 days? (Round the final answer to four decimal places.) Probability

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 27E
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The distance advanced in a day by a tunnel boring machine, in meters, is uniformly distributed on the interval (31.00, 50).

Suppose the distances advanced on different days are independent. What is the probability the machine advances more than 45 meters on exactly four out of 10 days? (Round the final answer to four decimal places.)

 

This is for homework and I think I might be doing something wrong with the way I am doing 10 choose 4, but I'm not sure. I got 0.0012 and the program says it's wrong.

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Required information
The distance advanced in a day by a tunnel boring machine, in meters, is uniformly distributed on the interval (31.00, 50).
Suppose the distances advanced on different days are independent. What is the probability the machine advances more than 45
meters on exactly four out of 10 days? (Round the final answer to four decimal places.)
Probability
Transcribed Image Text:! Required information The distance advanced in a day by a tunnel boring machine, in meters, is uniformly distributed on the interval (31.00, 50). Suppose the distances advanced on different days are independent. What is the probability the machine advances more than 45 meters on exactly four out of 10 days? (Round the final answer to four decimal places.) Probability
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