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?
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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