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The company you work for has created a new device designed to take readings of atmospheric...

The company you work for has created a new device designed to take readings of atmospheric data. The device has 7 sensors which fail with a probability of 0.62. Use this information to answer the following questions.

What is the probability of 5 sensors failing?

Math   Statistics-And-Probability   
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Answer #1

SOLUTION-

LET X DENOTE THE NO OF SENSORS THAT FAIL

PROBABILITY OF A SENSOR TO FAIL(p) = 0.62

SAMPLE SIZE(n) = 7

SO, X ~ BINOMIAL, WITH PARAMETERS n=7, and p=0.62

PMF OF A BINOMIAL DISTRIBUTION IS,

WE WANT TO FIND THE PROBABILITY THAT 5 SENSORS WOULD FAIL

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**** IN CASE OF DOUBT, COMMENT BELOW. ALSO LIKE THE SOLUTION, IF POSSIBLE.

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